PUBLICATIONS OF STEVEN N. EVANS

 

1985

[1] On the Hausdorff dimension of Brownian cone points. Math. Proc. Cambridge Philos. Soc. 98, 343-353.

1986

[2] On the almost sure convergence of a general stochastic approximation procedure (co-author N.C. Weber). Bull. Austral. Math. Soc. 34, 335-342.

1987

[3] Potential theory for a family of several Markov processes.Ann. Inst. Henri Poincare B. 23, 499-530.

1988

[4] Continuity properties of Gaussian stochastic processes indexed by a local field. Proc. London Math. Soc. 56, 380-416.

[5] Sample path properties of Gaussian stochastic processes indexed by a local field. Proc. London Math. Soc. 56, 580-624.

[6] Multiple points in the sample paths of a Levy process. Probab. Theory Related Fields 76, 359-367.

1989

[7] The maximum distribution of a Gaussian process indexed by a local field. J. Austral. Math. Soc. (Series A) 46, 69-87.

[8] Local properties of Levy processes on a totally disconnected group. J. Theoret. Probab. 2, 209-259.

[9] Local field Gaussian measures. Seminar on Stochastic Processes 1988 (Birkhauser), 121-160.

[10] Perturbation of functions by the paths of a Levy process. Math. Proc. Cambridge Philos. Soc. 105, 377-380.

[11] The range of a perturbed Levy process. Probab. Theory Related Fields. 81, 555-557. 1990

[12] Rescaling the vacancy of a Boolean coverage process. Seminar on Stochastic Processes 1989 (Birkhauser), 23-34.

[13] Measure-valued Markov branching processes conditioned on non-extinction (co-author E. Perkins) Israel J. Math. 71, 329-337.

[14] Association and random measures, Probab. Theory Related Fields. 86, 1-19.

1991

[15] Association and infinite divisibility for the Wishart distribution and its diagonal marginals. J. Multivariate Anal. 36, 199-203.

[16] An absolute continuity result for superprocesses with applications (co-author E. Perkins). Trans. Amer. Math. Soc. 325, 661-681.

[17] Equivalence and perpendicularity of local field Gaussian measures. Seminar on Stochastic Processes 1990 (Birkhauser) 173-182.

[18] Trapping a measure-valued Markov branching process conditioned on non- extinction. Ann. Inst. Henri Poincare B. 27, 215-220.

[19] Collision local times and measure-valued processes (co-authors M.T. Barlow and E. Perkins). Canadian J. Math. 43, 897-938.

1992

[20] Self-avoiding walk on a hierarchical lattice in four dimensions. (co-authors D. Brydges and J. Imbrie). Ann. Probab. 20, 82-124.

[21] The entrance space of a measure-valued Markov branching process conditioned on non-extinction. Canadian Math. Bull. 35, 70-74.

[22] A robustness property of the no-interference model for ordering genetic markers (co-authors M.S. McPeek and T.P. Speed). Proc. Nat. Acad. Sci. USA 89, 3103-3106.

[23] Polar and non-polar sets for a tree indexed process. Ann. Probab. 20, 579-590.

1993

[24] Invariants of some probability models used in phylogenetic inference (co-author T.P. Speed). Ann. Statist. 21, 355-377.

[25] A characterization of crossover models that possess map functions (co-authors M.S. McPeek and T.P. Speed). Theoret. Pop. Biol. 43, 80-90.

[26] Local field Brownian motion. J. Theoret. Probab. 6, 817-850.

[27] Two representations of a conditioned superprocess. J. Royal Soc. Edinburgh 123A, 959-971.

[28] Does every Borel function have a somewhere continuous modification?(co-author J.W. Pitman). Real Analysis Exchange 18, 276-280.

1994

[29] Measure-valued branching diffusions with singular interactions (co-author E. Perkins). Canadian J. Math. 46, 120-168.

[30] Multiplicities of a random sausage. Ann. Inst. Henri Poincare B 30, 501-518.

[31] Weighted occupation times for branching particle systems and a representation for the supercritical superprocess (co-author N. O'Connell). Canadian Math. Bull. 37, 187-196.

1995

[32] p-adic white noise, chaos expansions, and stochastic integration. In Probability Measures on Groups and Related Structures XI (World Scientific).

[33] Explicit stochastic integral representations for historical functionals (co-author E. Perkins). Ann. Probab. 23, 1772-1815.

1996

[34] Shrinkage estimators, Skorokhod's problem, and stochastic integration by parts (co-author P.B. Stark). Ann. Statist 24, 809-815.

[35] Cluster formation in a stepping stone model with continuous, hierarchically structured sites (co-author K. Fleischmann). Ann. Probab. 24, 1926-1952.

1997

[36] Coalescing Markov labelled partitions and a continuous sites genetics model with infinitely many types. Ann. Inst. Henri Poincare B33, 339-358.

[37] Stopped Markov chains with stationary occupation times (co-author J. Pitman). Probab. Theory Related Fields 109, 425-433.

1998

[38] Collision local times, historical stochastic calculus, and competing superprocesses (co-author E. Perkins). Electron. J. Probab.3, Paper no. 5, 120pp. 
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[39] Eventual intersection for sequences of Levy processes (co-author Y. Peres). Electron. Comm. Probab. 3, 21-27. 
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[40] Construction of Markovian coalescents (co-author J. Pitman). Ann. Inst. Henri Poincare B 34, 339-383. 
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[41] Stationary Markov processes related to stable Ornstein-Uhlenbeck processes and the additive coalescent (co-author J. Pitman). Stochastic Processes Appl. 77, 175-185. 
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[42] Constructing and counting phylogenetic invariants (co-author X. Zhou). J. Comput. Biol. 5, 713-724. 
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1999

[43] Transition operators of diffusions reduce zero-crossing (co-author R. J. Williams). Trans. Amer. Math. Soc. 351, 1377-1389. 
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[44] Identifiability of exchangeable sequences with identically distributed partial sums (co-author X. Zhou). Electron. Comm. Probab. 4 , 9-13. 
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[45] Dirichlet forms on totally disconnected spaces and bipartite Markov chains (co-author D. Aldous). J. Theoret. Probab. 12, 839-857. 
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[46] Random spanning trees of Cayley graphs and an associated compactification of semigroups. Proc. Edinburgh Math. Soc. 42, 611-620. 
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[47] Infinitely-many-species Lotka-Volterra equations arising from systems of coalescing masses. J. London Math. Soc. 60, 171-186. 
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2000

[48] Kingman's coalescent as a random metric space. in Stochastic Models: Proceedings of the International Conference on Stochastic Models in Honour of Professor Donald A. Dawson, Ottawa, Canada, June 10-13, 1998 (L.G Gorostiza and B.G. Ivanoff eds). Canadian Mathematical Society / American Mathematical Society. 
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[49] Snakes and spiders: Brownian motion on R-trees. Probab. Theory Related Fields 117, 361-386. 
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[50] Right inverses of Levy processes and stationary stopped local times. Probab. Theory Related Fields 118, 37-48.  
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[51] Immanants and finite point processes (co-author P. Diaconis). J. Combin. Theory Ser. A 91, 305-321. 
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[52] Continuum-sites stepping-stone models, coalescing exchangeable partitions, and random trees (co-authors P. Donnelly, K. Fleischmann, T.G. Kurtz and X. Zhou). Ann. Probab. 28, 1063-1110. 
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2001

[53] Linear functionals of eigenvalues of random matrices (co-author P. Diaconis). Trans. Amer. Math. Soc. 353, 2615-2633. 
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[54] Stochastic billiards on general tables. Ann. Appl. Probab. 11, 419-437. 
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[55] Local fields, Gaussian measures, and Brownian motions. Topics in Lie Groups and Probability: Boundary Theory (J. Taylor ed.) CRM Proceedings and Lecture Notes 28. American Mathematical Society. 
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[56] Local field U-statistics. Algebraic Methods in Statistics and Probability (Marlos A.G. Viana and Donald St. P. Richards eds.) Contemporary Mathematatics 287. American Mathematical Society. 
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2002

[57] Eigenvalues of random wreath products. Electron. J. Probab. 7, Paper no. 9, 15pp. 
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[58] Inverse problems as statistics (co-author P.B. Stark). Inverse Problems 18, R55-R97. 
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[59] Estimating some features of NK fitness landscapes (co-author D. Steinsaltz). Ann. Appl. Probab. 12, 1299-1321.
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[60] Elementary divisors and determinants of random matrices over a local field. Stochastic Processes Appl. 102, 89-102. 
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[61] A different construction of Gaussian fields from Markov chains: Dirichlet covariances (co-author P. Diaconis).  Ann. Inst. Henri Poincare B 38, 863-878.
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2003

[62] Pinching and twisting Markov processes (co-author R. B. Sowers). Ann. Probab. 31, 486-527. 
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[63] Diffusions on the simplex from Brownian motions on hypersurfaces. Science and Statistics: A Festschrift for Terry Speed, IMS Lecture Notes - Monograph Series 40 (ed. D.R. Goldstein). 
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[64] Markov processes on vermiculated spaces (co-author M.T. Barlow). Random Walks and Geometry: Proceedings of a Workshop on Random Walks and Geometry at the Erwin Schroedinger Institute, Vienna, June 18-July 13, 2001 (V. Kaimanovich, K. Schmidt and W. Woess eds.). Walter de Gruyter
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2004

[65] Fourier analysis and phylogenetic trees. Modern Signal Processing (Lecture notes from an MSRI Summer School, D. Healy Jr. and D. Rockmore eds.). Cambridge University Press. 
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[66] Markov mortality models: Implications of quasistationarity and varying initial distributions (co-author David Steinsaltz). Theor. Pop. Biol. 65, 319-357.
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[67] Embedding a Markov chain into a random walk on a permutation group. Combinatorics, Probability and Computing 13, 339-351.
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[68] Unidentifiable divergence times in rates-across-sites models (co-author Tandy Warnow) IEEE/ACM Transactions on Computational Biology and Bioinformatics 1, 130-134.
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2005

[69] A generalized model of mutation-selection balance with applications to aging (co-authors David Steinsaltz and Ken Wachter) Adv. Appl. Math. 35, 16-33.
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[70] Minimax expected measure confidence sets for restricted location parameters (co-authors B. Hansen and P.B. Stark) Bernoulli 11, 571-590.
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[71] A comparison of phylogenetic reconstruction methods on an IE dataset (co-authors Luay Nakhleh, Tandy Warnow, and Don Ringe).  Transactions of the Philological Society 103, 171-192.
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2006

[72] Rayleigh processes, real trees, and root growth with re-grafting (co-authors Jim Pitman and Anita Winter) Probab. Theory Relat. Fields 134, 81-126.
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[73] Inference of divergence times as a statistical inverse problem (co-authors Don Ringe and Tandy Warnow). In "Phylogenetic Methods and the Prehistory of Languages" (Peter Forster and Colin Renfrew eds). MacDonald Institute for Archaeological Research.
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[74] A stochastic model of language evolution that incorporates homoplasy and borrowing (co-authors Tandy Warnow, Don Ringe, and Luay Nakhleh). In "Phylogenetic Methods and the Prehistory of Languages" (Peter Forster and Colin Renfrew eds). MacDonald Institute for Archaeological Research.
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[75] Subtree prune and re-graft: a reversible real tree valued Markov process (co-author Anita Winter). Ann. Probab 34, 918-961.
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[76] The expected number of zeros of a random system of $p$-adic polynomials. Electron. Comm. Probab. 11, 278-290.
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2007

[77] Quasistationary distributions for one-dimensional diffusions with killing (co-author David Steinsaltz). Trans. Amer. Math. Soc. 359, 1285-1324.
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[78] Non-equlibrium theory of the allele frequency spectrum (co-authors Yelena Shvets and Montgomery Slatkin). Theor. Popul. Biol. 71, 109-119.
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[79] Expectation, conditional expectation and martingales in local fields (co-author Tye Lidman). Electron. J. Probab. 12, 498-515.
http://www.math.washington.edu/~ejpecp/EjpVol12/paper17.abs.html

[80] Damage segregation at fissioning may increase growth rates: A superprocess model (co-author David Steinsaltz). Theor. Popul. Biol. 71, 473-490.
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[81] Asymptotic evolution of acyclic random mappings (co-author Tye Lidman). Electron. J. Probab. 12, 1051-1180.
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2008

[82] Probability and real trees. Lectures from the 35th Summer School on Probability Theory held in Saint-Flour, July 6--23, 2005.Lecture Notes in Mathematics, 1920. (Springer).
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[83] Brownian motion on disconnected sets, basic hypergeometric functions, and some continued fractions of Ramanujan (co-authors Shankar Bhamidi, Ron Peled, and Peter Ralph).  In “Probability and Statistics: Essays in Honor of David A. Freedman” (Deborah Nolan and Terry Speed eds).  Institute of Mathematical Statistics.
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[84] To what extent does genealogical ancestry imply genetic ancestry? (co-author Frederick A. Matsen).  Theor. Popul. Biol. 74, 182-190. 
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2009

[85] Hyperdeterminantal point processes (co-author Alex Gottlieb).  Metrika 69, 85-99.
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[86] Mutation-selection balance with recombination: convergence to equilibrium for polynomial selection costs (co-author Aubrey Clayton).  SIAM J. Appl. Math. 69, 1772-1792.
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[87] Spectra of random linear combinations of matrices defined via representations and Coxeter generators of the symmetric group.  Ann. Probab. 37, 726-741.
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[88] Vital rates from the action of mutation accumulation (co-authors Kenneth W. Wachter and David R. Steinsaltz).  Journal of Population Ageing 2, 5-22.
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2010

[89] Dynamics of the time to the most recent common ancestor in a large branching population (co-author Peter L. Ralph).  Ann. Appl. Probab. 20, 1-25.
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[90] Commuting birth-and-death processes (co-authors Bernd Sturmfels and Caroline Uhler).  Ann. Appl. Probab. 20, 238-266.
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[91] Confidence intervals for negative binomial random variables of high dispersion (co-authors David Shilane and Alan E. Hubbard).  The International Journal of Biostatistics 6, Article 10.
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[92] A zero-one law for linear transformations of Levy noise.  Algebraic Methods in Statistics and Probability II, (Marlos A.G. Viana and Henry P. Wynn eds.).  Contemporary Mathematics Series 516, American Mathematical Society.
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[93] Coverage statistics for sequence census methods (co-authors Valerie Hower and Lior Pachter).  BMC Bioinformatics 11, 430-439.
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[94] Time and chance happeneth to them all: mutation, selection and recombination. Proceedings of the International Congress of Mathematicians. Volume IV, 2275–2296, Hindustan Book Agency, New Delhi.

2011

[95] Shape-based peak identification for ChIP-Seq (co-authors Valerie Hower and Lior Pachter).  BMC Bioinformatics 12, 15-23.

[96] Transcriptional regulation: Effects of promoter proximal pausing on speed, synchrony and reliability (co-authors Alistair N. Boettiger and Peter L. Ralph).  PLoS Computational Biology. 7(5): e1001136. doi:10.1371/journal.pcbi.1001136
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[97] Non-existence of Markovian time dynamics for graphical models of correlated default (co-author Alexandru Hening).  Queueing Systems  3, 293-312. 
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2012

[98] Spectra of large random trees (co-authors Shankar Bhamidi and Arnab Sen).  J. Theoret. Probab. 25, 613-654.  
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[99] Trickle-down processes and their boundaries (co-authors Rudolf Gruebel and Anton Wakolbinger).  Electron. J. Probab. 17, 1-58. 
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[100] Ubiquity of synonymity: almost all large binary trees are not uniquely identified by their spectra or their immanantal polynomials (co-author Frederick A. Matsen).  Algorithms Mol. Bio.  7(1):14.  
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[101] The phylogenetic Kantorovich-Rubinstein metric for environmental sequence samples (co-author Frederick A. Matsen).  J. R. Statist. Soc. (B) 74, 569–592. 
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[102] A likelihood method for jointly estimating the selection coefficient and the allele age for time serial data (co-authors Anna-Sapfo Malaspinas, Orestis Malaspinas, and Montgomery Slatkin).  Genetics 192, 599-607. 
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[103] Molecular evolution. Selected works of Terry Speed, Sel. Works Probab. Stat., Springer, New York.

[104] Stochastic flights of propellers (co-authors Margaret Pan, Hanno Rein, and Eugene Chiang).  Mon. Not. R. Astron. Soc.  427 (4) 2788–2796
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2013

[105] Stochastic population growth in spatially heterogeneous environments (co-authors Peter L. Ralph, Sebastian J. Schreiber and Arnab Sen).  J. Math. Biol. 66, 423-476
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[106] A mutation-selection model for general genotypes with recombination (co-authors David Steinsaltz and Kenneth W. Wachter).  Memoirs of the American Mathematical Society.  222: 1044. 
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[107] A limit theorem for occupation measures of Levy processes in compact groups (co-author Arno Berger).  Stochastics and Dynamics 13, 1250008 [16 pages]. 
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[108] Coalescing systems of non-Brownian particles (co-authors Ben Morris and Arnab Sen).  Probab.Theory Relat. Fields 156, 307-342. 
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[109] Edge principal components and squash clustering: using the special structure of phylogenetic placement data for sample comparison (co-author Frederick A. Matsen).  PLoS ONE 8(3): e56859. 
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[110] Stochastic equations on projective systems of groups (co-author Tatyana Gordeeva).  In Advances in superprocesses and nonlinear PDEs (Janos Englander and Brian Rider eds.)  Springer Proceedings in Mathematics and Statistics, 38. 
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[111] An experimental study comparing linguistic phylogenetic reconstruction methods (co-authors Francois Barbancon, Tandy Warnow, Donald Ringe and Luay Nakhleh).  Diachronica 30:2, 143–170. 
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[112] Lipschitz minorants of Brownian motion and Levy processes (co-author Joshua Abramson).  Online first Probab. Theory Relat. Fields. 
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[113] The age-specific force of natural selection and biodemographic walls of death (co-authors Kenneth W. Wachter and David R. Steinsaltz).  Proceedings of the National Academy of Sciences Vol. 110 No. 25, 10141-10146. 
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[114] Analysis and rejection sampling of Wright-Fisher bridges (co-authors Joshua G. Schraiber and Robert C. Griffiths).  Theor. Popul. Biol. 89, 64-74. 
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2014

[115] Killed Brownian motion with a prescribed lifetime distribution and models of default (co-authors Boris Ettinger and Alexandru Hening).  Ann. Appl. Probab. 24, 1-33. 
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[116] Protected polymorphisms and evolutionary stability of patch-selection strategies in stochastic environments (co-authors Alexandru Hening and Sebastian Schreiber).  Online first J. Math. Biol. 
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[117] Evolutionary shaping of demographic schedules (co-authors Kenneth W. Wachter and David Steinsaltz).  Proceedings of the National Academy of Sciences. Vol 111, Supplement 3, 10846-10853. 
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[118] Unseparated pairs and fixed points in random permutations (co-authors Persi Diaconis and Ron Graham).  Adv. Appl. Math. 61, 102-124. 
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2015

[119] When do skew-products exist (co-authors Eric S. Wayman and Alexandru Hening).  Electron. Comm. Probab. 20, 1-14. 
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2016

[120] Bayesian inference of natural selection from allele frequency time series (co-authors Joshua Schraiber and Montgomery Slatkin)Genetics 203, 493-511. 
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2017

[121] The semigroup of metric measure spaces and its infinitely divisible probability measures (co-author Ilya Molchanov).  Trans. Amer. Math. Soc.  369, 1797-1834.
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[122] Doob-Martin boundary of Rémy's tree growth chain (co-authors Rudolf Gruebel and Anton Wakolbinger)Ann. Probab.  45, 225-277.
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To appear

[123] The spans in Brownian motion (co-authors Jim Pitman and Wenpin Tang)Ann. Inst. Henri Poincare 
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[124] Leading the field: Fortune favors the bold in Thurstonian choice models (co-authors Ronald L. Rivest and Philip B. Stark).  Bernoulli
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[125] Recovering a tree from the lengths of subtrees spanned by a randomly chosen sequence of leaves (co-author Daniel Lanoue).  Adv. Appl. Math.
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[126] Doob-Martin compactification of a Markov chain for growing random words sequentially (co-author Hye Soo Choi). .Stochastic Processes Appl.
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[127] Polar decomposition of scale-homogeneous measures with application to Lévy measures of strictly stable laws (co-author Ilya Molchanov).  J. Theoret. Probab.
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Submitted

[128] Radix sort trees in the large (co-author Anton Wakolbinger).
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 [129] Markov processes conditioned on their location at large exponential times (co-author Alexandru Hening).
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Unpublished

[130] Stochastic models of language evolution and an application to the Indo-European family of languages (co-authors Tandy Warnow, Don Ringe, and Luay Nakhleh). 
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[131] Ball-in-boxes duality for coalescing random walks and coalescing Brownian motion (co-author X. Zhou). 
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[132] Phylogenetic analyses of alignments with gaps (co-author Tandy Warnow).