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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here.
[39] Eventual intersection for sequences of Levy processes (co-author
Y. Peres). Electron. Comm. Probab. 3,
21-27.
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here.
[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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compressed PostScript preprint version.
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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here.
[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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compressed PostScript preprint version.
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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here.
[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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for compressed PostScript preprint version.
[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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for compressed PostScript preprint version.
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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compressed PostScript preprint version.
[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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compressed PostScript preprint version.
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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preprint version.
[67] Embedding a Markov chain into a random walk on a permutation
group. Combinatorics, Probability and Computing 13, 339-351.
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compressed PostScript preprint version.
[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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preprint version.
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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preprint version.
[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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compressed PostScript preprint version.
[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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preprint version.
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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compressed PostScript preprint version. Click here for PDF preprint.version. Click
here for publisher's electronic version.
[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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preprint version.
[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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compressed PostScript preprint version. Click here for PDF
preprint version.
[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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preprint version.
[76] The expected number of zeros of a random system of $p$-adic polynomials. Electron. Comm. Probab. 11, 278-290.
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preprint version.
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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preprint version.
[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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preprint version.
[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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preprint version.
[81] Asymptotic evolution of acyclic random mappings (co-author Tye Lidman). Electron. J.
Probab. 12, 1051-1180.
http://www.math.washington.edu/~ejpecp/EjpVol12/paper42.abs.html
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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preprint version.
[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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compressed PostScript preprint version. Click here for PDF
preprint version.
[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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version.
2009
[85] Hyperdeterminantal point processes
(co-author Alex Gottlieb). Metrika 69,
85-99.
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preprint version.
[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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preprint version.
[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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preprint version
[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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preprint version.
[90] Commuting birth-and-death processes (co-authors Bernd Sturmfels and Caroline Uhler).
Ann. Appl. Probab. 20, 238-266.
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preprint version.
[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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preprint version.
[93] Coverage statistics for sequence census methods (co-authors
Valerie Hower and Lior Pachter). BMC Bioinformatics 11,
430-439.
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preprint version.
[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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preprint version. Online
here.
[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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preprint version.
2012
[98] Spectra of large random trees (co-authors Shankar Bhamidi and
Arnab Sen). J. Theoret. Probab.
25, 613-654.
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preprint version. Online
here.
[99] Trickle-down processes and their boundaries
(co-authors Rudolf Gruebel and Anton Wakolbinger). Electron. J. Probab. 17, 1-58.
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preprint version. Online here.
[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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preprint version. Online
here.
[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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preprint version. Online
here.
[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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preprint version. Online here.
[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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preprint version.
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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preprint version. Online here.
[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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preprint version. Online
here.
[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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preprint version. Online
here.
[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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preprint version. Online here.
[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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version.
[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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preprint version.
[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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preprint version.
[112] Lipschitz minorants of Brownian motion and Levy processes
(co-author Joshua Abramson). Probab.
Theory Relat. Fields 158, 809-857.
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preprint version. Online
here.
[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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preprint version. Published
ahead of print.
[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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version.
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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preprint version.
[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.
Click here for PDF preprint version. Click here
for published version.
[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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here for published version.
[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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for PDF preprint version.
2015
[119] When do skew-products exist (co-authors Eric S. Wayman and Alexandru Hening). Electron. Commun. 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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here for PDF preprint version.
[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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[123]
Doob-Martin compactification of a Markov chain for
growing random words sequentially (co-author Hye Soo Choi). ..Stochastic Processes Appl. 127, 2428-2445.
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[124] The spans in Brownian motion (co-authors Jim Pitman and Wenpin
Tang). Ann. Inst. Henri Poincare 53, 1108–1135.
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[125]
Radix sort trees in the large (co-author Anton Wakolbinger). Electron. Comm. Probab. 22, paper no. 68, 1-13.
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2018
[126] Recovering a tree from the
lengths of subtrees spanned by a randomly chosen sequence of leaves (co-author
Daniel Lanoue). Adv. Appl. Math. 96, 39-75.
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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.
31, 1303-1321.
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here for PDF preprint version.
2019
[128] Leading the field: Fortune favors the bold in Thurstonian choice models (co-authors Ronald L. Rivest and Philip B. Stark). Bernoulli 25, 26-46.
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here for PDF preprint version.
[129] Markov processes conditioned on
their location at large exponential times
(co-author Alexandru Hening). Stochastic Processes Appl. 129, 1622-1658.
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for PDF preprint version.
[130] Rotatable random sequences in local fields (co-author Daniel
Raban). Electron. Commun.
Probab.24, Paper No. 37. 12pp.
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Online
here.
[131] PATRICIA bridges (co-author
Anton Wakolbinger). In: Genealogies of Interacting
Particle Systems, eds. M. Birkner, R. Sun and J. Swart, Lecture Note Series, Institute for Mathematical Sciences,
National University of Singapore, Vol. 38, 233-267, World Scientific.
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here for PDF preprint version.
To appear
[132] Two continua of embedded regenerative
sets (co-author Mehdi Ouaki).
To appear in a Festschrift for Ron Doney
edited by Loic Chaumont and Andreas Kyprianou.
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Submitted
[133] Representing smooth functions as compositions of
near-identity functions with implications for deep network optimization
(co-authors Peter L. Bartlett and
Philip M. Long).
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[134] Excursions away from the Lipschitz minorant of a Levy process (co-author
Mehdi Ouaki).
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Unpublished
[135] Stochastic models of language evolution and an
application to the Indo-European family of languages (co-authors Tandy Warnow, Don Ringe, and Luay Nakhleh).
Click here for preprint version.
[136] Ball-in-boxes duality for coalescing random walks
and coalescing Brownian motion (co-author X. Zhou).
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version. Click here for PDF preprint version.
[137]
Phylogenetic analyses of alignments with gaps (co-author Tandy Warnow).