[1] J. Pitman, “Random mappings, forests and subsets associated with Abel-Cayley-Hurwitz multinomial expansions,” Séminaire Lotharingien de Combinatoire Issue 46 (2001) 45 pp., Abstract[.txt], Preprint [.ps.Z], Math. Review.
[2] J. Pitman, “Forest volume decompositions and Abel-Cayley-Hurwitz multinomial expansions,” J. Comb. Theory A. 98 (2002) 175-191, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] R. Sheth and J. Pitman, “Coagulation and branching process models of gravitational clustering,” Mon. Not. R. Astron. Soc. 289 (1997) 66-80, Preprint [.ps.Z].
[2] S. Evans and J. Pitman, “Stationary Markov processes related to stable Ornstein-Uhlenbeck processes and the additive coalescent,” Stochastic Processes Appl. 77 (1998) 175-185, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] D. Aldous and J. Pitman, “The standard additive coalescent,” Ann. Probab. 26 (1998) 1703-1726, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[4] J. Pitman, “Coalescent random forests,” J. Comb. Theory A. 85 (1999) 165-193, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[5] D. Aldous and J. Pitman, “Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent,” Probab. Th. Rel. Fields 118 (2000) 455-482, Article [.pdf], SpringerLink, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] P. J. Fitzsimmons and J. Pitman, “Kac’s moment formula and the Feynman-Kac formula for additive functionals of a Markov process,” Stochastic Process. Appl. 79 (1999) 117-134, Preprint [.ps.Z], Article [.pdf], ScienceDirect, Math. Review.
[1] J. Pitman and M. Yor, “Path decompositions of a Brownian bridge related to the ratio of its maximum and amplitude,” Studia Sci. Math. Hungar. 35 (1999), no. 520, 457-474, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] M. E. H. Ismail and J. Pitman, “Algebraic evaluations of some Euler integrals, duplication formulae for Appell’s hypergeometric function F1, and Brownian variations,” Canad. J. Math. 52 (2000) 961-981, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] M. Barlow, J. Pitman, and M. Yor, “Une extension multidimensionnelle de la loi de l’arc sinus,” in Séminaire de Probabilités XXIII, vol. 1372 of Lecture Notes in Math., pp. 294-314. Springer, 1989. Math. Review.
[2] J. Pitman and M. Yor, “Arcsine laws and interval partitions derived from a stable subordinator,” Proc. London Math. Soc. (3) 65 (1992) 326-356, Math. Review.
[3] J. Pitman and M. Yor, “Some properties of the arc sine law related to its invariance under a family of rational maps,” Tech. Rep. 558, Dept. Statistics, U.C. Berkeley, 1999. Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman and R. Stanley, “A polytope related to empirical distributions, plane trees, parking functions and the associahedron,” Discrete and Computational Geometry 27 (2002) 603-634, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and M. Yor, “The asymptotic joint distribution of windings of planar Brownian motion,” Bulletin of the American Mathematical Society 10 (1984) 109-111, Math. Review.
[2] J. Pitman and M. Yor, “Asymptotic laws of planar Brownian motion,” Annals of Probability 14 (1986) 733-779, Article [.pdf], Math. Review.
[3] J. Pitman and M. Yor, “Compléments à l’étude asymptotique des nombres de tours du mouvement brownien complexe autour d’un nombre fini de points,” C.R. Acad. Sc. Paris, Série I 305 (1987) 757-760, Math. Review.
[4] K. Burdzy, J. Pitman, and M. Yor, “Some Asymptotic Laws for Crossings and Excursions,” in Colloque Paul Lévy sur les Processus Stochastiques, Astérisque 157-158, pp. 59-74. Société Mathématique de France, 1988. Math. Review.
[5] J. Pitman and M. Yor, “Further asymptotic laws of planar Brownian motion,” Annals of Probability 17 (1989) 965-1011, Article [.pdf], Math. Review.
[6] M. Klass and J. Pitman, “Limit laws for Brownian motion conditioned to reach a high level,” Statistics and Probability Letters 17 (1993) 13-17, Math. Review.
[7] M. Camarri and J. Pitman, “Limit distributions and random trees derived from the birthday problem with unequal probabilities,” Electron. J. Probab. 5 (2000) Paper 2, 1-18, Article, Math. Review.
[1] D. Aldous and J. Pitman, “The asymptotic speed and shape of a particle system,” in Probability, Statistics and Analysis, London Math. Soc. Lecture Notes, pp. 1-23. Cambridge Univ. Press, 1983. Math. Review.
[1] D. Aldous and J. Pitman, “Brownian bridge asymptotics for random mappings,” Random Structures and Algorithms 5 (1994) 487-512, Math. Review.
[1] B. Hansen and J. Pitman, “Prediction rules and exchangeable sequences related to species sampling,” Stat. and Prob. Letters 46 (2000) 251-256, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and M. Yor, “A decomposition of Bessel bridges,” Z. Wahrsch. Verw. Gebiete 59 (1982) 425-457, Math. Review.
[2] J. Pitman and M. Yor, “Sur une décomposition des ponts de Bessel,” in Functional Analysis in Markov Processes, M. Fukushima, ed., vol. 923 of Lecture Notes in Math, pp. 276-285. Springer, 1982. Math. Review.
[1] J. Pitman and M. Yor, “The law of the maximum of a Bessel bridge,” Electron. J. Probab. 4 (1999) Paper 15, 1-35, Article, Math. Review.
[1] J. Pitman, “A lattice path model for the Bessel polynomials,” Tech. Rep. 551, Dept. Statistics, U.C. Berkeley, 1999. Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman, “One-dimensional Brownian motion and the three-dimensional Bessel process,” Advances in Applied Probability 7 (1975) 511-526, Math. Review.
[2] J. Pitman and M. Yor, “Processus de Bessel, et mouvement brownien, avec drift,” C.R. Acad. Sc. Paris, Série A 291 (1980) 151-153, Math. Review.
[3] J. Pitman and M. Yor, “Bessel processes and infinitely divisible laws,” in Stochastic Integrals, vol. 851 of Lecture Notes in Math., pp. 285-370. Springer, 1981. Math. Review.
[4] J. Pitman and M. Yor, “Quelques identités en loi pour les processus de Bessel,” in Hommage à P.A. Meyer et J. Neveu, Astérisque, pp. 249-276. Soc. Math. de France, 1996. Math. Review.
[5] J. Pitman and M. Yor, “Random Brownian scaling identities and splicing of Bessel processes,” Ann. Probab. 26 (1998) 1683-1702, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[6] J. Pitman and M. Yor, “The law of the maximum of a Bessel bridge,” Electron. J. Probab. 4 (1999) Paper 15, 1-35, Article, Math. Review.
[7] M. Jeanblanc, J. Pitman, and M. Yor, “Self-similar processes with independent increments associated with Lévy and Bessel processes,” Stochastic Processes Appl. 100 (2002) 223-232, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “One-dimensional Brownian motion and the three-dimensional Bessel process,” Advances in Applied Probability 7 (1975) 511-526, Math. Review.
[2] J. Pitman and M. Yor, “Bessel processes and infinitely divisible laws,” in Stochastic Integrals, vol. 851 of Lecture Notes in Math., pp. 285-370. Springer, 1981. Math. Review.
[3] J. Pitman and M. Yor, “Quelques identités en loi pour les processus de Bessel,” in Hommage à P.A. Meyer et J. Neveu, Astérisque, pp. 249-276. Soc. Math. de France, 1996. Math. Review.
[4] J. Pitman and M. Yor, “Random Brownian scaling identities and splicing of Bessel processes,” Ann. Probab. 26 (1998) 1683-1702, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[5] M. Jeanblanc, J. Pitman, and M. Yor, “Self-similar processes with independent increments associated with Lévy and Bessel processes,” Stochastic Processes Appl. 100 (2002) 223-232, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] H. Dette, J. Fill, J. Pitman, and W. Studden, “Wall and Siegmund duality relations for birth and death chains with reflecting barrier,” Journal of Theoretical Probability 10 (1997) 349-374, Preprint [.ps.Z], Math. Review.
[1] M. Jacobsen and J. Pitman, “Birth, death and conditioning of Markov chains,” Annals of Probability 5 (1977) 430-450, Math. Review.
[1] M. Camarri and J. Pitman, “Limit distributions and random trees derived from the birthday problem with unequal probabilities,” Electron. J. Probab. 5 (2000) Paper 2, 1-18, Article, Math. Review.
[1] J. Neveu and J. Pitman, “The Branching Process in a Brownian Excursion,” in Séminaire de Probabilités XXIII, vol. 1372 of Lecture Notes in Math., pp. 248-257. Springer, 1989. Math. Review.
[2] R. Sheth and J. Pitman, “Coagulation and branching process models of gravitational clustering,” Mon. Not. R. Astron. Soc. 289 (1997) 66-80, Preprint [.ps.Z].
[3] D. Aldous and J. Pitman, “Tree-valued Markov chains derived from Galton-Watson processes,” Ann. Inst. Henri Poincaré 34 (1998) 637-686, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[4] J. Pitman, “Enumerations of trees and forests related to branching processes and random walks,” in Microsurveys in Discrete Probability, D. Aldous and J. Propp, eds., no. 41 in DIMACS Ser. Discrete Math. Theoret. Comp. Sci, pp. 163-180. Amer. Math. Soc., Providence RI, 1998. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[5] J. Bennies and J. Pitman, “Asymptotics of the Hurwitz binomial distribution related to mixed Poisson Galton-Watson trees,” Combinatorics, Probability and Computing 10 (2001) 203-211, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and M. Yor, “Decomposition at the maximum for excursions and bridges of one-dimensional diffusions,” in Itô’s Stochastic Calculus and Probability Theory, N. Ikeda, S. Watanabe, M. Fukushima, and H. Kunita, eds., pp. 293-310. Springer-Verlag, 1996. Math. Review.
[2] J. Pitman and M. Yor, “The law of the maximum of a Bessel bridge,” Electron. J. Probab. 4 (1999) Paper 15, 1-35, Article, Math. Review.
[1] J. Bertoin and J. Pitman, “Path Transformations Connecting Brownian Bridge, Excursion and Meander,” Bull. Sci. Math. (2) 118 (1994) 147-166, Math. Review.
[2] D. Aldous and J. Pitman, “Brownian bridge asymptotics for random mappings,” Random Structures and Algorithms 5 (1994) 487-512, Math. Review.
[3] J. Pitman, “The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest,” Ann. Probab. 27 (1999) 261-283, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[4] P. Carmona, F. Petit, J. Pitman, and M. Yor, “On the laws of homogeneous functionals of the Brownian bridge,” Studia Sci. Math. Hungar. 35 (1999) 445-455, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[5] J. Pitman and M. Yor, “Path decompositions of a Brownian bridge related to the ratio of its maximum and amplitude,” Studia Sci. Math. Hungar. 35 (1999), no. 520, 457-474, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[6] J. Pitman, “The distribution of local times of Brownian bridge,” in Séminaire de Probabilités XXXIII, vol. 1709 of Lecture Notes in Math., pp. 388-394. Springer, 1999. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[7] J. Pitman, “Brownian motion, bridge, excursion and meander characterized by sampling at independent uniform times,” Electron. J. Probab. 4 (1999) Paper 11, 1-33, Article, Math. Review.
[8] J. Pitman and M. Yor, “On the distribution of ranked heights of excursions of a Brownian bridge,” Ann. Probab. 29 (2001) 361-384, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[9] D. Aldous and J. Pitman, “Two recursive decompositions of Brownian bridge related to the asymptotics of random mappings,” Tech. Rep. 595, Dept. Statistics, U.C. Berkeley, 2002. Abstract[.txt], Preprint [.ps.Z].
[10] D. Aldous and J. Pitman, “The asymptotic distribution of the diameter of a random mapping,” C.R. Acad. Sci. Paris, Ser. I 334 (2002) 1021-1024, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[11] D. Aldous, G. Miermont, and J. Pitman, “Brownian bridge asymptotics for random p-mappings,” Tech. Rep. 624, Dept. Statistics, U.C. Berkeley, 2002. Abstract[.txt], Preprint [.ps.Z].
[1] J. Bertoin and J. Pitman, “Path Transformations Connecting Brownian Bridge, Excursion and Meander,” Bull. Sci. Math. (2) 118 (1994) 147-166, Math. Review.
[2] J. Pitman, “The distribution of local times of Brownian bridge,” in Séminaire de Probabilités XXXIII, vol. 1709 of Lecture Notes in Math., pp. 388-394. Springer, 1999. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] J. Pitman, “Brownian motion, bridge, excursion and meander characterized by sampling at independent uniform times,” Electron. J. Probab. 4 (1999) Paper 11, 1-33, Article, Math. Review.
[1] K. Burdzy, J. Pitman, and M. Yor, “Brownian crossings between spheres,” J. of Mathematical Analysis and Applications 148, No. 1 (1990) 101-120, Math. Review.
[1] J. Pitman and M. Yor, “Ranked functionals of Brownian excursions,” C.R. Acad. Sci. Paris t. 326, Série I (1998) 93-97, Article [.pdf], ScienceDirect, Math. Review.
[2] J. Pitman, “The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest,” Ann. Probab. 27 (1999) 261-283, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] P. Biane, J. Pitman, and M. Yor, “Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions,” Bull. Amer. Math. Soc. 38 (2001) 435-465, Article, Math. Review.
[1] J. Pitman and M. Yor, “Ranked functionals of Brownian excursions,” C.R. Acad. Sci. Paris t. 326, Série I (1998) 93-97, Article [.pdf], ScienceDirect, Math. Review.
[2] P. Biane, J. Pitman, and M. Yor, “Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions,” Bull. Amer. Math. Soc. 38 (2001) 435-465, Article, Math. Review.
[1] J. Neveu and J. Pitman, “Renewal Property of the Extrema and Tree Property of a One-dimensional Brownian Motion,” in Séminaire de Probabilités XXIII, vol. 1372 of Lecture Notes in Math., pp. 239-247. Springer, 1989. Math. Review.
[2] J. Neveu and J. Pitman, “The Branching Process in a Brownian Excursion,” in Séminaire de Probabilités XXIII, vol. 1372 of Lecture Notes in Math., pp. 248-257. Springer, 1989. Math. Review.
[1] J. Bertoin and J. Pitman, “Path Transformations Connecting Brownian Bridge, Excursion and Meander,” Bull. Sci. Math. (2) 118 (1994) 147-166, Math. Review.
[2] J. Pitman, “Brownian motion, bridge, excursion and meander characterized by sampling at independent uniform times,” Electron. J. Probab. 4 (1999) Paper 11, 1-33, Article, Math. Review.
[1] J. Pitman, “Path decomposition for conditional Brownian motion,” Tech. Rep. 11, Inst. Math. Stat., Univ. of Copenhagen, 1974.
[2] J. Pitman, “One-dimensional Brownian motion and the three-dimensional Bessel process,” Advances in Applied Probability 7 (1975) 511-526, Math. Review.
[3] J. Pitman, “Remarks on the convex minorant of Brownian motion,” in Seminar on Stochastic Processes, 1982, pp. 219-227. Birkhäuser, Boston, 1983. Math. Review.
[4] J. Pitman and M. Yor, “The asymptotic joint distribution of windings of planar Brownian motion,” Bulletin of the American Mathematical Society 10 (1984) 109-111, Math. Review.
[5] J. Pitman and M. Yor, “Asymptotic laws of planar Brownian motion,” Annals of Probability 14 (1986) 733-779, Article [.pdf], Math. Review.
[6] J. Pitman and M. Yor, “Some divergent integrals of Brownian motion,” in Analytic and Geometric Stochastics: Papers in Honour of G. E. H. Reuter (Special supplement to Adv. App. Prob), D. G. Kendall, J. F. C. Kingman, and D. Williams, eds., pp. 109-116. Applied Prob. Trust, 1986. Math. Review.
[7] J. Pitman and M. Yor, “Compléments à l’étude asymptotique des nombres de tours du mouvement brownien complexe autour d’un nombre fini de points,” C.R. Acad. Sc. Paris, Série I 305 (1987) 757-760, Math. Review.
[8] J. Pitman and M. Yor, “Further asymptotic laws of planar Brownian motion,” Annals of Probability 17 (1989) 965-1011, Article [.pdf], Math. Review.
[9] M. Barlow, J. Pitman, and M. Yor, “On Walsh’s Brownian motions,” in Séminaire de Probabilités XXIII, vol. 1372 of Lecture Notes in Math., pp. 275-293. Springer, 1989. Math. Review.
[10] M. Barlow, J. Pitman, and M. Yor, “Une extension multidimensionnelle de la loi de l’arc sinus,” in Séminaire de Probabilités XXIII, vol. 1372 of Lecture Notes in Math., pp. 294-314. Springer, 1989. Math. Review.
[11] S. Kozlov, J. Pitman, and M. Yor, “Brownian interpretations of an elliptic integral,” in Seminar on Stochastic Processes, 1991, pp. 83-95. Birkhäuser, Boston, 1992. Math. Review.
[12] S. Kozlov, J. Pitman, and M. Yor, “Wiener football,” Theory Prob. Appl. 37 (1992) 550-553.
[13] S. Asmussen, P. Glynn, and J. Pitman, “Discretization error in simulation of one-dimensional reflecting Brownian motion,” Ann. Applied Prob. 5 (1995) 875-896, Math. Review.
[14] J. Pitman, “Cyclically stationary Brownian local time processes,” Probab. Th. Rel. Fields 106 (1996) 299-329, Article [.ps.Z], SpringerLink, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[15] J. Pitman, “Partition structures derived from Brownian motion and stable subordinators,” Bernoulli 3 (1997) 79-96, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[16] M. Jeanblanc, J. Pitman, and M. Yor, “The Feynman-Kac formula and decomposition of Brownian paths,” Comput. Appl. Math. 16 (1997) 27-52, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[17] J. Pitman and M. Yor, “Random Brownian scaling identities and splicing of Bessel processes,” Ann. Probab. 26 (1998) 1683-1702, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[18] J. Pitman, “Brownian motion, bridge, excursion and meander characterized by sampling at independent uniform times,” Electron. J. Probab. 4 (1999) Paper 11, 1-33, Article, Math. Review.
[19] R. Pemantle, Y. Peres, J. Pitman, and M. Yor, “Where did the Brownian particle go?,” Electron. J. Probab. 6 (2001) Paper 10, 1-22, Article, Math. Review.
[1] J. Neveu and J. Pitman, “Renewal Property of the Extrema and Tree Property of a One-dimensional Brownian Motion,” in Séminaire de Probabilités XXIII, vol. 1372 of Lecture Notes in Math., pp. 239-247. Springer, 1989. Math. Review.
[2] J. Neveu and J. Pitman, “The Branching Process in a Brownian Excursion,” in Séminaire de Probabilités XXIII, vol. 1372 of Lecture Notes in Math., pp. 248-257. Springer, 1989. Math. Review.
[1] M. E. H. Ismail and J. Pitman, “Algebraic evaluations of some Euler integrals, duplication formulae for Appell’s hypergeometric function F1, and Brownian variations,” Canad. J. Math. 52 (2000) 961-981, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] P. Diaconis, J. Fill, and J. Pitman, “Analysis of top in at random shuffles,” Combinatorics, Probability and Computing 1 (1992) 135-155, Math. Review.
[2] P. Diaconis, M. McGrath, and J. Pitman, “Riffle shuffles, cycles and descents,” Combinatorica 15 (1995) 11-29, Math. Review.
[1] J. Pitman and M. Yor, “Level crossings of a Cauchy process,” Annals of Probability 14 (1986) 780-792.
[1] C. Heathcote and J. Pitman, “An inequality for characteristic functions,” Bull. Aust. Math. Soc. 6 (1972) 1-10, Math. Review.
[1] R. Sheth and J. Pitman, “Coagulation and branching process models of gravitational clustering,” Mon. Not. R. Astron. Soc. 289 (1997) 66-80, Preprint [.ps.Z].
[1] S. Evans and J. Pitman, “Construction of Markovian coalescents,” Ann. Inst. Henri Poincaré 34 (1998) 339-383, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[2] J. Pitman, “Coalescent random forests,” J. Comb. Theory A. 85 (1999) 165-193, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] J. Pitman, “Coalescents with multiple collisions,” Ann. Probab. 27 (1999) 1870-1902, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[4] J. Bertoin and J. Pitman, “Two coalescents derived from the ranges of stable subordinators,” Electron. J. Probab. 5 (2000) no. 7, 17 pp., Article, Math. Review.
[5] J. Pitman, “Combinatorial Stochastic Processes,” Tech. Rep. 621, Dept. Statistics, U.C. Berkeley, 2002. Lecture notes for St. Flour course, July 2002. Corrections to version of July 1,2002, Abstract[.txt], Preprint [.ps.Z].
[1] J. Bennies and J. Pitman, “Asymptotics of the Hurwitz binomial distribution related to mixed Poisson Galton-Watson trees,” Combinatorics, Probability and Computing 10 (2001) 203-211, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] D. Aldous and J. Pitman, “Two recursive decompositions of Brownian bridge related to the asymptotics of random mappings,” Tech. Rep. 595, Dept. Statistics, U.C. Berkeley, 2002. Abstract[.txt], Preprint [.ps.Z].
[2] D. Aldous and J. Pitman, “The asymptotic distribution of the diameter of a random mapping,” C.R. Acad. Sci. Paris, Ser. I 334 (2002) 1021-1024, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] D. Aldous, G. Miermont, and J. Pitman, “Brownian bridge asymptotics for random p-mappings,” Tech. Rep. 624, Dept. Statistics, U.C. Berkeley, 2002. Abstract[.txt], Preprint [.ps.Z].
[4] J. Pitman, “Combinatorial Stochastic Processes,” Tech. Rep. 621, Dept. Statistics, U.C. Berkeley, 2002. Lecture notes for St. Flour course, July 2002. Corrections to version of July 1,2002, Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman and T. Speed, “A note on random times,” Stoch. Proc. Appl. 1 (1973) 369-374, Math. Review.
[2] M. Jacobsen and J. Pitman, “Birth, death and conditioning of Markov chains,” Annals of Probability 5 (1977) 430-450, Math. Review.
[1] J. Pitman, “Path decomposition for conditional Brownian motion,” Tech. Rep. 11, Inst. Math. Stat., Univ. of Copenhagen, 1974.
[2] J. Pitman, “One-dimensional Brownian motion and the three-dimensional Bessel process,” Advances in Applied Probability 7 (1975) 511-526, Math. Review.
[3] M. Jacobsen and J. Pitman, “Birth, death and conditioning of Markov chains,” Annals of Probability 5 (1977) 430-450, Math. Review.
[4] M. Klass and J. Pitman, “Limit laws for Brownian motion conditioned to reach a high level,” Statistics and Probability Letters 17 (1993) 13-17, Math. Review.
[1] D. Aldous and J. Pitman, “Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent,” Probab. Th. Rel. Fields 118 (2000) 455-482, Article [.pdf], SpringerLink, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Remarks on the convex minorant of Brownian motion,” in Seminar on Stochastic Processes, 1982, pp. 219-227. Birkhäuser, Boston, 1983. Math. Review.
[1] J. Pitman, “Uniform rates of convergence for Markov chain transition probabilities,” Z. Wahrsch. Verw. Gebiete 29 (1974) 193-227, Math. Review.
[2] J. Pitman, Stopping time identities and limit theorems for Markov chains. PhD thesis, Dept. Prob. and Stat., University of Sheffield, 1974.
[3] J. Pitman, “On coupling of Markov chains,” Z. Wahrsch. Verw. Gebiete 35 (1976) 315-322, Math. Review.
[4] D. Aldous and J. Pitman, “On the zero-one law for exchangeable events,” Annals of Probability 7 (1979) 704-723, Math. Review.
[1] K. Burdzy, J. Pitman, and M. Yor, “Some Asymptotic Laws for Crossings and Excursions,” in Colloque Paul Lévy sur les Processus Stochastiques, Astérisque 157-158, pp. 59-74. Société Mathématique de France, 1988. Math. Review.
[2] K. Burdzy, J. Pitman, and M. Yor, “Brownian crossings between spheres,” J. of Mathematical Analysis and Applications 148, No. 1 (1990) 101-120, Math. Review.
[1] P. Diaconis, M. McGrath, and J. Pitman, “Riffle shuffles, cycles and descents,” Combinatorica 15 (1995) 11-29, Math. Review.
[1] J. Pitman, “Cyclically stationary Brownian local time processes,” Probab. Th. Rel. Fields 106 (1996) 299-329, Article [.ps.Z], SpringerLink, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[2] S. Evans and J. Pitman, “Stopped Markov chains with stationary occupation times,” Probab. Th. Rel. Fields 109 (1997) 425-433, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Some developments of the Blackwell-MacQueen urn scheme,” in Statistics, Probability and Game Theory; Papers in honor of David Blackwell, T. F. et al., ed., vol. 30 of Lecture Notes-Monograph Series, pp. 245-267. Institute of Mathematical Statistics, Hayward, California, 1996. Preprint [.ps.Z], Math. Review.
[1] M. Jacobsen and J. Pitman, “Birth, death and conditioning of Markov chains,” Annals of Probability 5 (1977) 430-450, Math. Review.
[1] P. Greenwood and J. Pitman, “Fluctuation identities for Lévy processes and splitting at the maximum,” Advances in Applied Probability 12 (1980) 893-902, Math. Review.
[2] P. Greenwood and J. Pitman, “Fluctuation identities for random walk by path decomposition at the maximum,” Advances in Applied Probability 12 (1980) 291-293.
[3] J. Pitman and M. Yor, “Decomposition at the maximum for excursions and bridges of one-dimensional diffusions,” in Itô’s Stochastic Calculus and Probability Theory, N. Ikeda, S. Watanabe, M. Fukushima, and H. Kunita, eds., pp. 293-310. Springer-Verlag, 1996. Math. Review.
[1] P. Diaconis, M. McGrath, and J. Pitman, “Riffle shuffles, cycles and descents,” Combinatorica 15 (1995) 11-29, Math. Review.
[1] S. Asmussen, P. Glynn, and J. Pitman, “Discretization error in simulation of one-dimensional reflecting Brownian motion,” Ann. Applied Prob. 5 (1995) 875-896, Math. Review.
[1] L. Dubins and J. Pitman, “A divergent, two-parameter, bounded martingale,” Proc. Amer. Math. Soc. 78 (1980), no. 3, 414-416, Math. Review.
[1] J. Pitman and M. Yor, “Some divergent integrals of Brownian motion,” in Analytic and Geometric Stochastics: Papers in Honour of G. E. H. Reuter (Special supplement to Adv. App. Prob), D. G. Kendall, J. F. C. Kingman, and D. Williams, eds., pp. 109-116. Applied Prob. Trust, 1986. Math. Review.
[1] H. Dette, J. Fill, J. Pitman, and W. Studden, “Wall and Siegmund duality relations for birth and death chains with reflecting barrier,” Journal of Theoretical Probability 10 (1997) 349-374, Preprint [.ps.Z], Math. Review.
[1] S. Kozlov, J. Pitman, and M. Yor, “Brownian interpretations of an elliptic integral,” in Seminar on Stochastic Processes, 1991, pp. 83-95. Birkhäuser, Boston, 1992. Math. Review.
[2] S. Kozlov, J. Pitman, and M. Yor, “Wiener football,” Theory Prob. Appl. 37 (1992) 550-553.
[1] J. Pitman and R. Stanley, “A polytope related to empirical distributions, plane trees, parking functions and the associahedron,” Discrete and Computational Geometry 27 (2002) 603-634, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] D. Aldous and J. Pitman, “Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent,” Probab. Th. Rel. Fields 118 (2000) 455-482, Article [.pdf], SpringerLink, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Enumerations of trees and forests related to branching processes and random walks,” in Microsurveys in Discrete Probability, D. Aldous and J. Propp, eds., no. 41 in DIMACS Ser. Discrete Math. Theoret. Comp. Sci, pp. 163-180. Amer. Math. Soc., Providence RI, 1998. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] L. Dubins and J. Pitman, “A pointwise ergodic theorem for the group of rational rotations,” Trans. Amer. Math. Soc. 251 (1980) 299-308, Math. Review.
[2] J. Pitman and M. Yor, “Some properties of the arc sine law related to its invariance under a family of rational maps,” Tech. Rep. 558, Dept. Statistics, U.C. Berkeley, 1999. Abstract[.txt], Preprint [.ps.Z].
[1] M. E. H. Ismail and J. Pitman, “Algebraic evaluations of some Euler integrals, duplication formulae for Appell’s hypergeometric function F1, and Brownian variations,” Canad. J. Math. 52 (2000) 961-981, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “The two-parameter generalization of Ewens’ random partition structure,” Tech. Rep. 345, Dept. Statistics, U.C. Berkeley, 1992.
[1] B. Hansen and J. Pitman, “Prediction rules and exchangeable sequences related to species sampling,” Stat. and Prob. Letters 46 (2000) 251-256, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] D. Aldous and J. Pitman, “On the zero-one law for exchangeable events,” Annals of Probability 7 (1979) 704-723, Math. Review.
[1] J. Pitman, “Exchangeable and partially exchangeable random partitions,” Probab. Th. Rel. Fields 102 (1995) 145-158, Math. Review.
[1] J. Pitman, “Lévy systems and path decompositions,” in Seminar on Stochastic Processes, 1981, pp. 79-110. Birkhäuser, Boston, 1981. Math. Review.
[2] J. Pitman and M. Yor, “A decomposition of Bessel bridges,” Z. Wahrsch. Verw. Gebiete 59 (1982) 425-457, Math. Review.
[3] J. Pitman, “Stationary excursions,” in Séminaire de Probabilités XXI, vol. 1247 of Lecture Notes in Math., pp. 289-302. Springer, 1986. Math. Review.
[4] K. Burdzy, J. Pitman, and M. Yor, “Some Asymptotic Laws for Crossings and Excursions,” in Colloque Paul Lévy sur les Processus Stochastiques, Astérisque 157-158, pp. 59-74. Société Mathématique de France, 1988. Math. Review.
[5] M. Perman, J. Pitman, and M. Yor, “Size-biased Sampling of Poisson Point Processes and Excursions,” Probab. Th. Rel. Fields 92 (1992) 21-39, Math. Review.
[6] J. Pitman and M. Yor, “Decomposition at the maximum for excursions and bridges of one-dimensional diffusions,” in Itô’s Stochastic Calculus and Probability Theory, N. Ikeda, S. Watanabe, M. Fukushima, and H. Kunita, eds., pp. 293-310. Springer-Verlag, 1996. Math. Review.
[7] J. Pitman and M. Yor, “On the lengths of excursions of some Markov processes,” in Séminaire de Probabilités XXXI, vol. 1655 of Lecture Notes in Math., pp. 272-286. Springer, 1997. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[8] J. Pitman and M. Yor, “On the relative lengths of excursions derived from a stable subordinator,” in Séminaire de Probabilités XXXI, vol. 1655 of Lecture Notes in Math., pp. 287-305. Springer, 1997. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[9] J. Pitman and M. Yor, “Laplace transforms related to excursions of a one-dimensional diffusion,” Bernoulli 5 (1999) 249-255, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[10] J. Pitman and M. Yor, “Hitting, occupation, and inverse local times of one-dimensional diffusions: martingale and excursion approaches,” Bernoulli 9 (2003) 1-24, Abstract[.txt], Preprint [.ps.Z].
[1] M. Jeanblanc, J. Pitman, and M. Yor, “The Feynman-Kac formula and decomposition of Brownian paths,” Comput. Appl. Math. 16 (1997) 27-52, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[2] P. J. Fitzsimmons and J. Pitman, “Kac’s moment formula and the Feynman-Kac formula for additive functionals of a Markov process,” Stochastic Process. Appl. 79 (1999) 117-134, Preprint [.ps.Z], Article [.pdf], ScienceDirect, Math. Review.
[1] P. Greenwood and J. Pitman, “Fluctuation identities for Lévy processes and splitting at the maximum,” Advances in Applied Probability 12 (1980) 893-902, Math. Review.
[2] P. Greenwood and J. Pitman, “Fluctuation identities for random walk by path decomposition at the maximum,” Advances in Applied Probability 12 (1980) 291-293.
[1] J. Pitman, “Forest volume decompositions and Abel-Cayley-Hurwitz multinomial expansions,” J. Comb. Theory A. 98 (2002) 175-191, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Combinatorial Stochastic Processes,” Tech. Rep. 621, Dept. Statistics, U.C. Berkeley, 2002. Lecture notes for St. Flour course, July 2002. Corrections to version of July 1,2002, Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman, “Poisson-Dirichlet and GEM invariant distributions for split-and-merge transformations of an interval partition,” Combinatorics, Probability and Computing 11 (2002) 501-514, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and M. Yor, “Sur une décomposition des ponts de Bessel,” in Functional Analysis in Markov Processes, M. Fukushima, ed., vol. 923 of Lecture Notes in Math, pp. 276-285. Springer, 1982. Math. Review.
[1] R. Sheth and J. Pitman, “Coagulation and branching process models of gravitational clustering,” Mon. Not. R. Astron. Soc. 289 (1997) 66-80, Preprint [.ps.Z].
[1] J. Pitman and M. Yor, “Hitting, occupation, and inverse local times of one-dimensional diffusions: martingale and excursion approaches,” Bernoulli 9 (2003) 1-24, Abstract[.txt], Preprint [.ps.Z].
[1] P. Carmona, F. Petit, J. Pitman, and M. Yor, “On the laws of homogeneous functionals of the Brownian bridge,” Studia Sci. Math. Hungar. 35 (1999) 445-455, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Bennies and J. Pitman, “Asymptotics of the Hurwitz binomial distribution related to mixed Poisson Galton-Watson trees,” Combinatorics, Probability and Computing 10 (2001) 203-211, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and M. Yor, “Infinitely divisible laws associated with hyperbolic functions,” Tech. Rep. 581, Dept. Statistics, U.C. Berkeley, 2000. To appear in Canadian Journal of Mathematics, Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman, Stopping time identities and limit theorems for Markov chains. PhD thesis, Dept. Prob. and Stat., University of Sheffield, 1974.
[2] J. Pitman, “An identity for stopping times of a Markov Process,” in Studies in Probability and Statistics, pp. 41-57. Jerusalem Academic Press, 1974. Math. Review.
[3] J. Bertoin and J. Pitman, “Path Transformations Connecting Brownian Bridge, Excursion and Meander,” Bull. Sci. Math. (2) 118 (1994) 147-166, Math. Review.
[4] J. Pitman and M. Yor, “Quelques identités en loi pour les processus de Bessel,” in Hommage à P.A. Meyer et J. Neveu, Astérisque, pp. 249-276. Soc. Math. de France, 1996. Math. Review.
[1] J. Bertoin and J. Pitman, “Path Transformations Connecting Brownian Bridge, Excursion and Meander,” Bull. Sci. Math. (2) 118 (1994) 147-166, Math. Review.
[2] J. Pitman and M. Yor, “Quelques identités en loi pour les processus de Bessel,” in Hommage à P.A. Meyer et J. Neveu, Astérisque, pp. 249-276. Soc. Math. de France, 1996. Math. Review.
[1] C. Heathcote and J. Pitman, “An inequality for characteristic functions,” Bull. Aust. Math. Soc. 6 (1972) 1-10, Math. Review.
[2] J. Pitman, “A note on L2 maximal inequalities,” in Séminaire de Probabilités XV, vol. 850 of Lecture Notes in Math, pp. 251-258. Springer, 1981. Math. Review.
[1] J. Pitman and M. Yor, “Bessel processes and infinitely divisible laws,” in Stochastic Integrals, vol. 851 of Lecture Notes in Math., pp. 285-370. Springer, 1981. Math. Review.
[2] J. Pitman and M. Yor, “Infinitely divisible laws associated with hyperbolic functions,” Tech. Rep. 581, Dept. Statistics, U.C. Berkeley, 2000. To appear in Canadian Journal of Mathematics, Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman and M. Yor, “Arcsine laws and interval partitions derived from a stable subordinator,” Proc. London Math. Soc. (3) 65 (1992) 326-356, Math. Review.
[2] J. Pitman, “Poisson-Dirichlet and GEM invariant distributions for split-and-merge transformations of an interval partition,” Combinatorics, Probability and Computing 11 (2002) 501-514, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] D. Aldous and J. Pitman, “Invariance principles for non-uniform random mappings and trees,” in Asymptotic Combinatorics with Aplications in Mathematical Physics, V. Malyshev and A. M. Vershik, eds., pp. 113-147. Kluwer Academic Publishers, 2002. Abstract[.txt], Preprint [.ps.Z].
[1] P. Biane, J. Pitman, and M. Yor, “Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions,” Bull. Amer. Math. Soc. 38 (2001) 435-465, Article, Math. Review.
[1] J. Pitman, “Some developments of the Blackwell-MacQueen urn scheme,” in Statistics, Probability and Game Theory; Papers in honor of David Blackwell, T. F. et al., ed., vol. 30 of Lecture Notes-Monograph Series, pp. 245-267. Institute of Mathematical Statistics, Hayward, California, 1996. Preprint [.ps.Z], Math. Review.
[1] P. J. Fitzsimmons and J. Pitman, “Kac’s moment formula and the Feynman-Kac formula for additive functionals of a Markov process,” Stochastic Process. Appl. 79 (1999) 117-134, Preprint [.ps.Z], Article [.pdf], ScienceDirect, Math. Review.
[1] J. Pitman and M. Yor, “Dilatations d’espace-temps, réarrangements des trajectoires browniennes, et quelques extensions d’une identité de Knight,” C.R. Acad. Sci. Paris t. 316, Série I (1993) 723-726, Math. Review.
[1] J. Pitman and M. Yor, “Laplace transforms related to excursions of a one-dimensional diffusion,” Bernoulli 5 (1999) 249-255, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “A lattice path model for the Bessel polynomials,” Tech. Rep. 551, Dept. Statistics, U.C. Berkeley, 1999. Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman and M. Yor, “Level crossings of a Cauchy process,” Annals of Probability 14 (1986) 780-792.
[1] J. Pitman and M. Yor, “A decomposition of Bessel bridges,” Z. Wahrsch. Verw. Gebiete 59 (1982) 425-457, Math. Review.
[1] P. Greenwood and J. Pitman, “Fluctuation identities for Lévy processes and splitting at the maximum,” Advances in Applied Probability 12 (1980) 893-902, Math. Review.
[2] J. Pitman and M. Yor, “Infinitely divisible laws associated with hyperbolic functions,” Tech. Rep. 581, Dept. Statistics, U.C. Berkeley, 2000. To appear in Canadian Journal of Mathematics, Abstract[.txt], Preprint [.ps.Z].
[3] M. Jeanblanc, J. Pitman, and M. Yor, “Self-similar processes with independent increments associated with Lévy and Bessel processes,” Stochastic Processes Appl. 100 (2002) 223-232, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Lévy systems and path decompositions,” in Seminar on Stochastic Processes, 1981, pp. 79-110. Birkhäuser, Boston, 1981. Math. Review.
[2] S. Evans and J. Pitman, “Construction of Markovian coalescents,” Ann. Inst. Henri Poincaré 34 (1998) 339-383, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] P. Greenwood and J. Pitman, “Construction of local time and Poisson point processes from nested arrays,” Journal of the London Mathematical Society 22 (1980) 182-192, Math. Review.
[2] J. Pitman and M. Yor, “A decomposition of Bessel bridges,” Z. Wahrsch. Verw. Gebiete 59 (1982) 425-457, Math. Review.
[3] J. Pitman, “Cyclically stationary Brownian local time processes,” Probab. Th. Rel. Fields 106 (1996) 299-329, Article [.ps.Z], SpringerLink, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[4] J. Pitman, “The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest,” Ann. Probab. 27 (1999) 261-283, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[5] J. Pitman, “The distribution of local times of Brownian bridge,” in Séminaire de Probabilités XXXIII, vol. 1709 of Lecture Notes in Math., pp. 388-394. Springer, 1999. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[6] J. Pitman and M. Yor, “Hitting, occupation, and inverse local times of one-dimensional diffusions: martingale and excursion approaches,” Bernoulli 9 (2003) 1-24, Abstract[.txt], Preprint [.ps.Z].
[1] P. Greenwood and J. Pitman, “Construction of local time and Poisson point processes from nested arrays,” Journal of the London Mathematical Society 22 (1980) 182-192, Math. Review.
[2] J. Pitman and M. Yor, “A decomposition of Bessel bridges,” Z. Wahrsch. Verw. Gebiete 59 (1982) 425-457, Math. Review.
[3] J. Pitman, “Cyclically stationary Brownian local time processes,” Probab. Th. Rel. Fields 106 (1996) 299-329, Article [.ps.Z], SpringerLink, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[4] J. Pitman, “The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest,” Ann. Probab. 27 (1999) 261-283, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[5] J. Pitman, “The distribution of local times of Brownian bridge,” in Séminaire de Probabilités XXXIII, vol. 1709 of Lecture Notes in Math., pp. 388-394. Springer, 1999. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[6] J. Pitman and M. Yor, “Hitting, occupation, and inverse local times of one-dimensional diffusions: martingale and excursion approaches,” Bernoulli 9 (2003) 1-24, Abstract[.txt], Preprint [.ps.Z].
[1] D. Freedman and J. Pitman, “A singular measure which is locally uniform,” Proc. Amer. Math. Soc. 108 (1990) 371-381, Math. Review.
[1] J. Pitman, “Uniform rates of convergence for Markov chain transition probabilities,” Z. Wahrsch. Verw. Gebiete 29 (1974) 193-227, Math. Review.
[2] J. Pitman, Stopping time identities and limit theorems for Markov chains. PhD thesis, Dept. Prob. and Stat., University of Sheffield, 1974.
[3] J. Pitman, “An identity for stopping times of a Markov Process,” in Studies in Probability and Statistics, pp. 41-57. Jerusalem Academic Press, 1974. Math. Review.
[4] J. Pitman, “On coupling of Markov chains,” Z. Wahrsch. Verw. Gebiete 35 (1976) 315-322, Math. Review.
[5] J. Pitman, “Occupation measures for Markov chains,” Advances in Applied Probability 9 (1977) 69-86.
[6] M. Jacobsen and J. Pitman, “Birth, death and conditioning of Markov chains,” Annals of Probability 5 (1977) 430-450, Math. Review.
[7] D. Aldous and J. Pitman, “On the zero-one law for exchangeable events,” Annals of Probability 7 (1979) 704-723, Math. Review.
[8] S. Evans and J. Pitman, “Stopped Markov chains with stationary occupation times,” Probab. Th. Rel. Fields 109 (1997) 425-433, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[9] D. Aldous and J. Pitman, “Tree-valued Markov chains derived from Galton-Watson processes,” Ann. Inst. Henri Poincaré 34 (1998) 637-686, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] L. C. G. Rogers and J. Pitman, “Markov functions,” Annals of Probability 9 (1981) 573-582, Math. Review.
[1] J. Pitman, “Lévy systems and path decompositions,” in Seminar on Stochastic Processes, 1981, pp. 79-110. Birkhäuser, Boston, 1981. Math. Review.
[2] J. Pitman and M. Yor, “On the lengths of excursions of some Markov processes,” in Séminaire de Probabilités XXXI, vol. 1655 of Lecture Notes in Math., pp. 272-286. Springer, 1997. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] S. Evans and J. Pitman, “Construction of Markovian coalescents,” Ann. Inst. Henri Poincaré 34 (1998) 339-383, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[4] S. Evans and J. Pitman, “Stationary Markov processes related to stable Ornstein-Uhlenbeck processes and the additive coalescent,” Stochastic Processes Appl. 77 (1998) 175-185, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[5] P. J. Fitzsimmons and J. Pitman, “Kac’s moment formula and the Feynman-Kac formula for additive functionals of a Markov process,” Stochastic Process. Appl. 79 (1999) 117-134, Preprint [.ps.Z], Article [.pdf], ScienceDirect, Math. Review.
[1] P. Fitzsimmons, J. Pitman, and M. Yor, “Markovian bridges: construction, Palm interpretation, and splicing,” in Seminar on Stochastic Processes, 1992, E. Çinlar, K. Chung, and M. Sharpe, eds., pp. 101-134. Birkhäuser, Boston, 1993. Math. Review.
[1] L. Dubins and J. Pitman, “A divergent, two-parameter, bounded martingale,” Proc. Amer. Math. Soc. 78 (1980), no. 3, 414-416, Math. Review.
[2] J. Pitman, “A note on L2 maximal inequalities,” in Séminaire de Probabilités XV, vol. 850 of Lecture Notes in Math, pp. 251-258. Springer, 1981. Math. Review.
[3] J. Pitman and M. Yor, “Hitting, occupation, and inverse local times of one-dimensional diffusions: martingale and excursion approaches,” Bernoulli 9 (2003) 1-24, Abstract[.txt], Preprint [.ps.Z].
[1] L. Dubins and J. Pitman, “A maximal inequality for skew fields,” Z. Wahrsch. Verw. Gebiete 52 (1980) 219-227, Math. Review.
[1] J. Pitman and M. Yor, “The law of the maximum of a Bessel bridge,” Electron. J. Probab. 4 (1999) Paper 15, 1-35, Article, Math. Review.
[2] J. Pitman and M. Yor, “Path decompositions of a Brownian bridge related to the ratio of its maximum and amplitude,” Studia Sci. Math. Hungar. 35 (1999), no. 520, 457-474, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] J. Bertoin, J. Pitman, and J. R. de Chavez, “Constructions of a Brownian path with a given minimum,” Electronic Comm. Probab. 4 (1999) Paper 5, 1-7, Article, Math. Review.
[1] S. Evans and J. Pitman, “Does every Borel function have a somewhere continuous modification?,” Real Analysis Exchange 18(1) (1993) 276-280, Math. Review.
[1] M. Barlow, J. Pitman, and M. Yor, “Une extension multidimensionnelle de la loi de l’arc sinus,” in Séminaire de Probabilités XXIII, vol. 1372 of Lecture Notes in Math., pp. 294-314. Springer, 1989. Math. Review.
[1] P. Greenwood and J. Pitman, “Construction of local time and Poisson point processes from nested arrays,” Journal of the London Mathematical Society 22 (1980) 182-192, Math. Review.
[1] J. Pitman, “Occupation measures for Markov chains,” Advances in Applied Probability 9 (1977) 69-86.
[2] R. Pemantle, Y. Peres, J. Pitman, and M. Yor, “Where did the Brownian particle go?,” Electron. J. Probab. 6 (2001) Paper 10, 1-22, Article, Math. Review.
[1] J. Pitman, Stopping time identities and limit theorems for Markov chains. PhD thesis, Dept. Prob. and Stat., University of Sheffield, 1974.
[2] J. Pitman, “An identity for stopping times of a Markov Process,” in Studies in Probability and Statistics, pp. 41-57. Jerusalem Academic Press, 1974. Math. Review.
[3] J. Pitman and M. Yor, “A decomposition of Bessel bridges,” Z. Wahrsch. Verw. Gebiete 59 (1982) 425-457, Math. Review.
[4] S. Evans and J. Pitman, “Stopped Markov chains with stationary occupation times,” Probab. Th. Rel. Fields 109 (1997) 425-433, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and M. Yor, “Decomposition at the maximum for excursions and bridges of one-dimensional diffusions,” in Itô’s Stochastic Calculus and Probability Theory, N. Ikeda, S. Watanabe, M. Fukushima, and H. Kunita, eds., pp. 293-310. Springer-Verlag, 1996. Math. Review.
[2] J. Pitman and M. Yor, “Laplace transforms related to excursions of a one-dimensional diffusion,” Bernoulli 5 (1999) 249-255, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] J. Pitman and M. Yor, “Hitting, occupation, and inverse local times of one-dimensional diffusions: martingale and excursion approaches,” Bernoulli 9 (2003) 1-24, Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman, “Stationary excursions,” in Séminaire de Probabilités XXI, vol. 1247 of Lecture Notes in Math., pp. 289-302. Springer, 1986. Math. Review.
[2] J. Pitman and M. Yor, “Arcsine laws and interval partitions derived from a stable subordinator,” Proc. London Math. Soc. (3) 65 (1992) 326-356, Math. Review.
[3] P. Fitzsimmons, J. Pitman, and M. Yor, “Markovian bridges: construction, Palm interpretation, and splicing,” in Seminar on Stochastic Processes, 1992, E. Çinlar, K. Chung, and M. Sharpe, eds., pp. 101-134. Birkhäuser, Boston, 1993. Math. Review.
[1] J. Pitman and R. Stanley, “A polytope related to empirical distributions, plane trees, parking functions and the associahedron,” Discrete and Computational Geometry 27 (2002) 603-634, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Exchangeable and partially exchangeable random partitions,” Probab. Th. Rel. Fields 102 (1995) 145-158, Math. Review.
[1] D. Aldous and J. Pitman, “The asymptotic speed and shape of a particle system,” in Probability, Statistics and Analysis, London Math. Soc. Lecture Notes, pp. 1-23. Cambridge Univ. Press, 1983. Math. Review.
[1] J. Pitman, “The two-parameter generalization of Ewens’ random partition structure,” Tech. Rep. 345, Dept. Statistics, U.C. Berkeley, 1992.
[2] J. Pitman, “Exchangeable and partially exchangeable random partitions,” Probab. Th. Rel. Fields 102 (1995) 145-158, Math. Review.
[3] J. Pitman, “Partition structures derived from Brownian motion and stable subordinators,” Bernoulli 3 (1997) 79-96, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[4] J. Pitman, “Combinatorial Stochastic Processes,” Tech. Rep. 621, Dept. Statistics, U.C. Berkeley, 2002. Lecture notes for St. Flour course, July 2002. Corrections to version of July 1,2002, Abstract[.txt], Preprint [.ps.Z].
[5] J. Pitman, “Poisson-Kingman partitions,” in Science and Statistics: A Festschrift for Terry Speed, D. R. Goldstein, ed., vol. 30 of Lecture Notes-Monograph Series, pp. 1-34. Institute of Mathematical Statistics, Hayward, California, 2003. Article, Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman, “Path decomposition for conditional Brownian motion,” Tech. Rep. 11, Inst. Math. Stat., Univ. of Copenhagen, 1974.
[2] J. Pitman, “One-dimensional Brownian motion and the three-dimensional Bessel process,” Advances in Applied Probability 7 (1975) 511-526, Math. Review.
[3] M. Jacobsen and J. Pitman, “Birth, death and conditioning of Markov chains,” Annals of Probability 5 (1977) 430-450, Math. Review.
[4] P. Greenwood and J. Pitman, “Fluctuation identities for Lévy processes and splitting at the maximum,” Advances in Applied Probability 12 (1980) 893-902, Math. Review.
[5] P. Greenwood and J. Pitman, “Fluctuation identities for random walk by path decomposition at the maximum,” Advances in Applied Probability 12 (1980) 291-293.
[6] J. Pitman, “Lévy systems and path decompositions,” in Seminar on Stochastic Processes, 1981, pp. 79-110. Birkhäuser, Boston, 1981. Math. Review.
[7] M. Klass and J. Pitman, “Limit laws for Brownian motion conditioned to reach a high level,” Statistics and Probability Letters 17 (1993) 13-17, Math. Review.
[8] J. Pitman and M. Yor, “Decomposition at the maximum for excursions and bridges of one-dimensional diffusions,” in Itô’s Stochastic Calculus and Probability Theory, N. Ikeda, S. Watanabe, M. Fukushima, and H. Kunita, eds., pp. 293-310. Springer-Verlag, 1996. Math. Review.
[9] M. Jeanblanc, J. Pitman, and M. Yor, “The Feynman-Kac formula and decomposition of Brownian paths,” Comput. Appl. Math. 16 (1997) 27-52, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[10] J. Pitman and M. Yor, “Path decompositions of a Brownian bridge related to the ratio of its maximum and amplitude,” Studia Sci. Math. Hungar. 35 (1999), no. 520, 457-474, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[11] J. Bertoin, J. Pitman, and J. R. de Chavez, “Constructions of a Brownian path with a given minimum,” Electronic Comm. Probab. 4 (1999) Paper 5, 1-7, Article, Math. Review.
[12] D. Aldous and J. Pitman, “Two recursive decompositions of Brownian bridge related to the asymptotics of random mappings,” Tech. Rep. 595, Dept. Statistics, U.C. Berkeley, 2002. Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman, “Path decomposition for conditional Brownian motion,” Tech. Rep. 11, Inst. Math. Stat., Univ. of Copenhagen, 1974.
[2] J. Pitman, “One-dimensional Brownian motion and the three-dimensional Bessel process,” Advances in Applied Probability 7 (1975) 511-526, Math. Review.
[3] M. Jacobsen and J. Pitman, “Birth, death and conditioning of Markov chains,” Annals of Probability 5 (1977) 430-450, Math. Review.
[4] P. Greenwood and J. Pitman, “Fluctuation identities for Lévy processes and splitting at the maximum,” Advances in Applied Probability 12 (1980) 893-902, Math. Review.
[5] P. Greenwood and J. Pitman, “Fluctuation identities for random walk by path decomposition at the maximum,” Advances in Applied Probability 12 (1980) 291-293.
[6] J. Pitman, “Lévy systems and path decompositions,” in Seminar on Stochastic Processes, 1981, pp. 79-110. Birkhäuser, Boston, 1981. Math. Review.
[7] M. Klass and J. Pitman, “Limit laws for Brownian motion conditioned to reach a high level,” Statistics and Probability Letters 17 (1993) 13-17, Math. Review.
[8] M. Jeanblanc, J. Pitman, and M. Yor, “The Feynman-Kac formula and decomposition of Brownian paths,” Comput. Appl. Math. 16 (1997) 27-52, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[9] J. Pitman and M. Yor, “Path decompositions of a Brownian bridge related to the ratio of its maximum and amplitude,” Studia Sci. Math. Hungar. 35 (1999), no. 520, 457-474, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[10] J. Bertoin, J. Pitman, and J. R. de Chavez, “Constructions of a Brownian path with a given minimum,” Electronic Comm. Probab. 4 (1999) Paper 5, 1-7, Article, Math. Review.
[11] D. Aldous and J. Pitman, “Two recursive decompositions of Brownian bridge related to the asymptotics of random mappings,” Tech. Rep. 595, Dept. Statistics, U.C. Berkeley, 2002. Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman and M. Yor, “Dilatations d’espace-temps, réarrangements des trajectoires browniennes, et quelques extensions d’une identité de Knight,” C.R. Acad. Sci. Paris t. 316, Série I (1993) 723-726, Math. Review.
[2] D. Aldous and J. Pitman, “Two recursive decompositions of Brownian bridge related to the asymptotics of random mappings,” Tech. Rep. 595, Dept. Statistics, U.C. Berkeley, 2002. Abstract[.txt], Preprint [.ps.Z].
[3] D. Aldous and J. Pitman, “The asymptotic distribution of the diameter of a random mapping,” C.R. Acad. Sci. Paris, Ser. I 334 (2002) 1021-1024, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] P. Fitzsimmons, J. Pitman, and M. Yor, “Markovian bridges: construction, Palm interpretation, and splicing,” in Seminar on Stochastic Processes, 1992, E. Çinlar, K. Chung, and M. Sharpe, eds., pp. 101-134. Birkhäuser, Boston, 1993. Math. Review.
[1] J. Pitman, “One-dimensional Brownian motion and the three-dimensional Bessel process,” Advances in Applied Probability 7 (1975) 511-526, Math. Review.
[2] J. Bertoin and J. Pitman, “Path Transformations Connecting Brownian Bridge, Excursion and Meander,” Bull. Sci. Math. (2) 118 (1994) 147-166, Math. Review.
[1] P. Diaconis and J. Pitman, “Permutations, record values and random measures.” Unpublished lecture notes. Dept. Statistics, U.C. Berkeley, 1986.
[2] P. Diaconis, J. Fill, and J. Pitman, “Analysis of top in at random shuffles,” Combinatorics, Probability and Computing 1 (1992) 135-155, Math. Review.
[3] P. Diaconis, M. McGrath, and J. Pitman, “Riffle shuffles, cycles and descents,” Combinatorica 15 (1995) 11-29, Math. Review.
[1] J. Pitman and M. Yor, “The asymptotic joint distribution of windings of planar Brownian motion,” Bulletin of the American Mathematical Society 10 (1984) 109-111, Math. Review.
[2] J. Pitman and M. Yor, “Asymptotic laws of planar Brownian motion,” Annals of Probability 14 (1986) 733-779, Article [.pdf], Math. Review.
[3] J. Pitman and M. Yor, “Compléments à l’étude asymptotique des nombres de tours du mouvement brownien complexe autour d’un nombre fini de points,” C.R. Acad. Sc. Paris, Série I 305 (1987) 757-760, Math. Review.
[4] J. Pitman and M. Yor, “Further asymptotic laws of planar Brownian motion,” Annals of Probability 17 (1989) 965-1011, Article [.pdf], Math. Review.
[1] A. Adhikari and J. Pitman, “The shortest planar arc of width one,” Amer. Math. Monthly 96, No 4 (1989) 309-327, Article [.pdf], Math. Review.
[1] J. Pitman and R. Stanley, “A polytope related to empirical distributions, plane trees, parking functions and the associahedron,” Discrete and Computational Geometry 27 (2002) 603-634, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Lévy systems and path decompositions,” in Seminar on Stochastic Processes, 1981, pp. 79-110. Birkhäuser, Boston, 1981. Math. Review.
[1] J. Pitman and M. Yor, “The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator,” Ann. Probab. 25 (1997) 855-900, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[2] J. Pitman, “Poisson-Dirichlet and GEM invariant distributions for split-and-merge transformations of an interval partition,” Combinatorics, Probability and Computing 11 (2002) 501-514, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] P. Greenwood and J. Pitman, “Construction of local time and Poisson point processes from nested arrays,” Journal of the London Mathematical Society 22 (1980) 182-192, Math. Review.
[2] M. Perman, J. Pitman, and M. Yor, “Size-biased Sampling of Poisson Point Processes and Excursions,” Probab. Th. Rel. Fields 92 (1992) 21-39, Math. Review.
[1] J. Pitman, “Probabilistic bounds on the coefficients of polynomials with only real zeros,” J. Comb. Theory A. 77 (1997) 279-303, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and R. Stanley, “A polytope related to empirical distributions, plane trees, parking functions and the associahedron,” Discrete and Computational Geometry 27 (2002) 603-634, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Some developments of the Blackwell-MacQueen urn scheme,” in Statistics, Probability and Game Theory; Papers in honor of David Blackwell, T. F. et al., ed., vol. 30 of Lecture Notes-Monograph Series, pp. 245-267. Institute of Mathematical Statistics, Hayward, California, 1996. Preprint [.ps.Z], Math. Review.
[2] B. Hansen and J. Pitman, “Prediction rules and exchangeable sequences related to species sampling,” Stat. and Prob. Letters 46 (2000) 251-256, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Probabilistic bounds on the coefficients of polynomials with only real zeros,” J. Comb. Theory A. 77 (1997) 279-303, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Some probabilistic aspects of set partitions,” Amer. Math. Monthly 104 (1997) 201-209, Article [.pdf], Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and M. Yor, “Processus de Bessel, et mouvement brownien, avec drift,” C.R. Acad. Sc. Paris, Série A 291 (1980) 151-153, Math. Review.
[1] P. Diaconis, J. Fill, and J. Pitman, “Analysis of top in at random shuffles,” Combinatorics, Probability and Computing 1 (1992) 135-155, Math. Review.
[1] J. Pitman, “Random discrete distributions invariant under size-biased permutation,” Adv. Appl. Prob. 28 (1996) 525-539, Preprint [.ps.Z], Math. Review.
[2] J. Pitman and M. Yor, “Random discrete distributions derived from self-similar random sets,” Electron. J. Probab. 1 (1996) Paper 4, 1-28, Article.
[3] J. Pitman, “Poisson-Kingman partitions,” in Science and Statistics: A Festschrift for Terry Speed, D. R. Goldstein, ed., vol. 30 of Lecture Notes-Monograph Series, pp. 1-34. Institute of Mathematical Statistics, Hayward, California, 2003. Article, Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman, “Coalescent random forests,” J. Comb. Theory A. 85 (1999) 165-193, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[2] J. Pitman, “Random mappings, forests and subsets associated with Abel-Cayley-Hurwitz multinomial expansions,” Séminaire Lotharingien de Combinatoire Issue 46 (2001) 45 pp., Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] D. Aldous and J. Pitman, “Brownian bridge asymptotics for random mappings,” Random Structures and Algorithms 5 (1994) 487-512, Math. Review.
[2] J. Pitman, “Random mappings, forests and subsets associated with Abel-Cayley-Hurwitz multinomial expansions,” Séminaire Lotharingien de Combinatoire Issue 46 (2001) 45 pp., Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] D. Aldous and J. Pitman, “Invariance principles for non-uniform random mappings and trees,” in Asymptotic Combinatorics with Aplications in Mathematical Physics, V. Malyshev and A. M. Vershik, eds., pp. 113-147. Kluwer Academic Publishers, 2002. Abstract[.txt], Preprint [.ps.Z].
[4] D. Aldous and J. Pitman, “Two recursive decompositions of Brownian bridge related to the asymptotics of random mappings,” Tech. Rep. 595, Dept. Statistics, U.C. Berkeley, 2002. Abstract[.txt], Preprint [.ps.Z].
[5] D. Aldous and J. Pitman, “The asymptotic distribution of the diameter of a random mapping,” C.R. Acad. Sci. Paris, Ser. I 334 (2002) 1021-1024, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[6] D. Aldous, G. Miermont, and J. Pitman, “Brownian bridge asymptotics for random p-mappings,” Tech. Rep. 624, Dept. Statistics, U.C. Berkeley, 2002. Abstract[.txt], Preprint [.ps.Z].
[7] J. Pitman, “Combinatorial Stochastic Processes,” Tech. Rep. 621, Dept. Statistics, U.C. Berkeley, 2002. Lecture notes for St. Flour course, July 2002. Corrections to version of July 1,2002, Abstract[.txt], Preprint [.ps.Z].
[1] P. Diaconis and J. Pitman, “Permutations, record values and random measures.” Unpublished lecture notes. Dept. Statistics, U.C. Berkeley, 1986.
[1] J. Pitman and M. Yor, “Dilatations d’espace-temps, réarrangements des trajectoires browniennes, et quelques extensions d’une identité de Knight,” C.R. Acad. Sci. Paris t. 316, Série I (1993) 723-726, Math. Review.
[2] J. Pitman and M. Yor, “Random Brownian scaling identities and splicing of Bessel processes,” Ann. Probab. 26 (1998) 1683-1702, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Random mappings, forests and subsets associated with Abel-Cayley-Hurwitz multinomial expansions,” Séminaire Lotharingien de Combinatoire Issue 46 (2001) 45 pp., Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and T. Speed, “A note on random times,” Stoch. Proc. Appl. 1 (1973) 369-374, Math. Review.
[1] J. Pitman, “The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest,” Ann. Probab. 27 (1999) 261-283, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[2] D. Aldous and J. Pitman, “A family of random trees with random edge lengths,” Random Structures and Algorithms 15 (1999) 176-195, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] M. Camarri and J. Pitman, “Limit distributions and random trees derived from the birthday problem with unequal probabilities,” Electron. J. Probab. 5 (2000) Paper 2, 1-18, Article, Math. Review.
[4] J. Bennies and J. Pitman, “Asymptotics of the Hurwitz binomial distribution related to mixed Poisson Galton-Watson trees,” Combinatorics, Probability and Computing 10 (2001) 203-211, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[5] D. Aldous and J. Pitman, “Invariance principles for non-uniform random mappings and trees,” in Asymptotic Combinatorics with Aplications in Mathematical Physics, V. Malyshev and A. M. Vershik, eds., pp. 113-147. Kluwer Academic Publishers, 2002. Abstract[.txt], Preprint [.ps.Z].
[6] J. Pitman, “Combinatorial Stochastic Processes,” Tech. Rep. 621, Dept. Statistics, U.C. Berkeley, 2002. Lecture notes for St. Flour course, July 2002. Corrections to version of July 1,2002, Abstract[.txt], Preprint [.ps.Z].
[1] P. Greenwood and J. Pitman, “Fluctuation identities for random walk by path decomposition at the maximum,” Advances in Applied Probability 12 (1980) 291-293.
[2] J. Pitman, “Enumerations of trees and forests related to branching processes and random walks,” in Microsurveys in Discrete Probability, D. Aldous and J. Propp, eds., no. 41 in DIMACS Ser. Discrete Math. Theoret. Comp. Sci, pp. 163-180. Amer. Math. Soc., Providence RI, 1998. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and M. Yor, “Ranked functionals of Brownian excursions,” C.R. Acad. Sci. Paris t. 326, Série I (1998) 93-97, Article [.pdf], ScienceDirect, Math. Review.
[2] J. Pitman and M. Yor, “On the distribution of ranked heights of excursions of a Brownian bridge,” Ann. Probab. 29 (2001) 361-384, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Uniform rates of convergence for Markov chain transition probabilities,” Z. Wahrsch. Verw. Gebiete 29 (1974) 193-227, Math. Review.
[2] J. Pitman, Stopping time identities and limit theorems for Markov chains. PhD thesis, Dept. Prob. and Stat., University of Sheffield, 1974.
[1] J. Pitman and M. Yor, “Some properties of the arc sine law related to its invariance under a family of rational maps,” Tech. Rep. 558, Dept. Statistics, U.C. Berkeley, 1999. Abstract[.txt], Preprint [.ps.Z].
[1] L. Dubins and J. Pitman, “A pointwise ergodic theorem for the group of rational rotations,” Trans. Amer. Math. Soc. 251 (1980) 299-308, Math. Review.
[1] J. Pitman and M. Yor, “A decomposition of Bessel bridges,” Z. Wahrsch. Verw. Gebiete 59 (1982) 425-457, Math. Review.
[2] J. Pitman, “Cyclically stationary Brownian local time processes,” Probab. Th. Rel. Fields 106 (1996) 299-329, Article [.ps.Z], SpringerLink, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] J. Pitman, “The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest,” Ann. Probab. 27 (1999) 261-283, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] P. Diaconis and J. Pitman, “Permutations, record values and random measures.” Unpublished lecture notes. Dept. Statistics, U.C. Berkeley, 1986.
[1] J. Pitman, “One-dimensional Brownian motion and the three-dimensional Bessel process,” Advances in Applied Probability 7 (1975) 511-526, Math. Review.
[2] S. Asmussen, P. Glynn, and J. Pitman, “Discretization error in simulation of one-dimensional reflecting Brownian motion,” Ann. Applied Prob. 5 (1995) 875-896, Math. Review.
[3] H. Dette, J. Fill, J. Pitman, and W. Studden, “Wall and Siegmund duality relations for birth and death chains with reflecting barrier,” Journal of Theoretical Probability 10 (1997) 349-374, Preprint [.ps.Z], Math. Review.
[1] P. Greenwood and J. Pitman, “Construction of local time and Poisson point processes from nested arrays,” Journal of the London Mathematical Society 22 (1980) 182-192, Math. Review.
[2] J. Bertoin and J. Pitman, “Two coalescents derived from the ranges of stable subordinators,” Electron. J. Probab. 5 (2000) no. 7, 17 pp., Article, Math. Review.
[1] P. Biane, J. Pitman, and M. Yor, “Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions,” Bull. Amer. Math. Soc. 38 (2001) 435-465, Article, Math. Review.
[1] P. Diaconis, M. McGrath, and J. Pitman, “Riffle shuffles, cycles and descents,” Combinatorica 15 (1995) 11-29, Math. Review.
[1] J. Pitman, “Brownian motion, bridge, excursion and meander characterized by sampling at independent uniform times,” Electron. J. Probab. 4 (1999) Paper 11, 1-33, Article, Math. Review.
[1] J. Pitman, “Two rules of scholarly communication: publish for the public, and keep the journals.” Submitted to Notices AMS, 2002. Article.
[2] J. Pitman, “The digital revolution in scholarly communication.” 2002. Article.
[3] J. Pitman, “The Mathematics Survey Proposal.” Submitted to Notices AMS, 2002. Article.
[4] J. Pitman, “The future of IMS journals,” IMS Bulletin 32 (2003) Issue 1, p. 1, Article.
[1] J. Pitman and M. Yor, “Random discrete distributions derived from self-similar random sets,” Electron. J. Probab. 1 (1996) Paper 4, 1-28, Article.
[2] J. Pitman and M. Yor, “On the distribution of ranked heights of excursions of a Brownian bridge,” Ann. Probab. 29 (2001) 361-384, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] M. Jeanblanc, J. Pitman, and M. Yor, “Self-similar processes with independent increments associated with Lévy and Bessel processes,” Stochastic Processes Appl. 100 (2002) 223-232, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and M. Yor, “Random discrete distributions derived from self-similar random sets,” Electron. J. Probab. 1 (1996) Paper 4, 1-28, Article.
[1] J. Pitman, “Some probabilistic aspects of set partitions,” Amer. Math. Monthly 104 (1997) 201-209, Article [.pdf], Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] S. Asmussen, P. Glynn, and J. Pitman, “Discretization error in simulation of one-dimensional reflecting Brownian motion,” Ann. Applied Prob. 5 (1995) 875-896, Math. Review.
[1] D. Freedman and J. Pitman, “A singular measure which is locally uniform,” Proc. Amer. Math. Soc. 108 (1990) 371-381, Math. Review.
[1] J. Pitman, “Random discrete distributions invariant under size-biased permutation,” Adv. Appl. Prob. 28 (1996) 525-539, Preprint [.ps.Z], Math. Review.
[1] M. Perman, J. Pitman, and M. Yor, “Size-biased Sampling of Poisson Point Processes and Excursions,” Probab. Th. Rel. Fields 92 (1992) 21-39, Math. Review.
[2] J. Pitman, “Random discrete distributions invariant under size-biased permutation,” Adv. Appl. Prob. 28 (1996) 525-539, Preprint [.ps.Z], Math. Review.
[1] L. Dubins and J. Pitman, “A maximal inequality for skew fields,” Z. Wahrsch. Verw. Gebiete 52 (1980) 219-227, Math. Review.
[1] J. Pitman, “Some developments of the Blackwell-MacQueen urn scheme,” in Statistics, Probability and Game Theory; Papers in honor of David Blackwell, T. F. et al., ed., vol. 30 of Lecture Notes-Monograph Series, pp. 245-267. Institute of Mathematical Statistics, Hayward, California, 1996. Preprint [.ps.Z], Math. Review.
[2] B. Hansen and J. Pitman, “Prediction rules and exchangeable sequences related to species sampling,” Stat. and Prob. Letters 46 (2000) 251-256, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and M. Yor, “Random Brownian scaling identities and splicing of Bessel processes,” Ann. Probab. 26 (1998) 1683-1702, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Poisson-Dirichlet and GEM invariant distributions for split-and-merge transformations of an interval partition,” Combinatorics, Probability and Computing 11 (2002) 501-514, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] S. Evans and J. Pitman, “Stationary Markov processes related to stable Ornstein-Uhlenbeck processes and the additive coalescent,” Stochastic Processes Appl. 77 (1998) 175-185, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and M. Yor, “Arcsine laws and interval partitions derived from a stable subordinator,” Proc. London Math. Soc. (3) 65 (1992) 326-356, Math. Review.
[2] J. Pitman, “Partition structures derived from Brownian motion and stable subordinators,” Bernoulli 3 (1997) 79-96, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] J. Pitman and M. Yor, “The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator,” Ann. Probab. 25 (1997) 855-900, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[4] J. Pitman and M. Yor, “On the relative lengths of excursions derived from a stable subordinator,” in Séminaire de Probabilités XXXI, vol. 1655 of Lecture Notes in Math., pp. 287-305. Springer, 1997. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[5] J. Bertoin and J. Pitman, “Two coalescents derived from the ranges of stable subordinators,” Electron. J. Probab. 5 (2000) no. 7, 17 pp., Article, Math. Review.
[6] J. Pitman, “Combinatorial Stochastic Processes,” Tech. Rep. 621, Dept. Statistics, U.C. Berkeley, 2002. Lecture notes for St. Flour course, July 2002. Corrections to version of July 1,2002, Abstract[.txt], Preprint [.ps.Z].
[1] J. Pitman, “Stationary excursions,” in Séminaire de Probabilités XXI, vol. 1247 of Lecture Notes in Math., pp. 289-302. Springer, 1986. Math. Review.
[2] S. Evans and J. Pitman, “Stationary Markov processes related to stable Ornstein-Uhlenbeck processes and the additive coalescent,” Stochastic Processes Appl. 77 (1998) 175-185, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest,” Ann. Probab. 27 (1999) 261-283, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and T. Speed, “A note on random times,” Stoch. Proc. Appl. 1 (1973) 369-374, Math. Review.
[2] J. Pitman, Stopping time identities and limit theorems for Markov chains. PhD thesis, Dept. Prob. and Stat., University of Sheffield, 1974.
[3] J. Pitman, “An identity for stopping times of a Markov Process,” in Studies in Probability and Statistics, pp. 41-57. Jerusalem Academic Press, 1974. Math. Review.
[4] S. Evans and J. Pitman, “Stopped Markov chains with stationary occupation times,” Probab. Th. Rel. Fields 109 (1997) 425-433, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman and T. Speed, “A note on random times,” Stoch. Proc. Appl. 1 (1973) 369-374, Math. Review.
[2] J. Pitman, Stopping time identities and limit theorems for Markov chains. PhD thesis, Dept. Prob. and Stat., University of Sheffield, 1974.
[3] S. Evans and J. Pitman, “Stopped Markov chains with stationary occupation times,” Probab. Th. Rel. Fields 109 (1997) 425-433, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Uniform rates of convergence for Markov chain transition probabilities,” Z. Wahrsch. Verw. Gebiete 29 (1974) 193-227, Math. Review.
[2] J. Pitman, Stopping time identities and limit theorems for Markov chains. PhD thesis, Dept. Prob. and Stat., University of Sheffield, 1974.
[1] D. Aldous and J. Pitman, “Tree-valued Markov chains derived from Galton-Watson processes,” Ann. Inst. Henri Poincaré 34 (1998) 637-686, Article [.pdf], ScienceDirect, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Enumerations of trees and forests related to branching processes and random walks,” in Microsurveys in Discrete Probability, D. Aldous and J. Propp, eds., no. 41 in DIMACS Ser. Discrete Math. Theoret. Comp. Sci, pp. 163-180. Amer. Math. Soc., Providence RI, 1998. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “The two-parameter generalization of Ewens’ random partition structure,” Tech. Rep. 345, Dept. Statistics, U.C. Berkeley, 1992.
[2] J. Pitman and M. Yor, “The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator,” Ann. Probab. 25 (1997) 855-900, Article [.pdf], Project Euclid, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[1] J. Pitman, “Some developments of the Blackwell-MacQueen urn scheme,” in Statistics, Probability and Game Theory; Papers in honor of David Blackwell, T. F. et al., ed., vol. 30 of Lecture Notes-Monograph Series, pp. 245-267. Institute of Mathematical Statistics, Hayward, California, 1996. Preprint [.ps.Z], Math. Review.
[1] M. Barlow, J. Pitman, and M. Yor, “On Walsh’s Brownian motions,” in Séminaire de Probabilités XXIII, vol. 1372 of Lecture Notes in Math., pp. 275-293. Springer, 1989. Math. Review.
[2] M. Barlow, J. Pitman, and M. Yor, “Une extension multidimensionnelle de la loi de l’arc sinus,” in Séminaire de Probabilités XXIII, vol. 1372 of Lecture Notes in Math., pp. 294-314. Springer, 1989. Math. Review.
[1] J. Pitman and M. Yor, “The asymptotic joint distribution of windings of planar Brownian motion,” Bulletin of the American Mathematical Society 10 (1984) 109-111, Math. Review.
[2] J. Pitman and M. Yor, “Asymptotic laws of planar Brownian motion,” Annals of Probability 14 (1986) 733-779, Article [.pdf], Math. Review.
[3] J. Pitman and M. Yor, “Compléments à l’étude asymptotique des nombres de tours du mouvement brownien complexe autour d’un nombre fini de points,” C.R. Acad. Sc. Paris, Série I 305 (1987) 757-760, Math. Review.
[4] J. Pitman and M. Yor, “Further asymptotic laws of planar Brownian motion,” Annals of Probability 17 (1989) 965-1011, Article [.pdf], Math. Review.
[1] D. Aldous and J. Pitman, “On the zero-one law for exchangeable events,” Annals of Probability 7 (1979) 704-723, Math. Review.
[1] J. Pitman, “Partition structures derived from Brownian motion and stable subordinators,” Bernoulli 3 (1997) 79-96, Abstract[.txt], Preprint [.ps.Z], Math. Review.
[2] J. Pitman and M. Yor, “On the lengths of excursions of some Markov processes,” in Séminaire de Probabilités XXXI, vol. 1655 of Lecture Notes in Math., pp. 272-286. Springer, 1997. Abstract[.txt], Preprint [.ps.Z], Math. Review.
[3] J. Pitman and M. Yor, “On the relative lengths of excursions derived from a stable subordinator,” in Séminaire de Probabilités XXXI, vol. 1655 of Lecture Notes in Math., pp. 287-305. Springer, 1997. Abstract[.txt], Preprint [.ps.Z], Math. Review.