## Pitman, Jim William

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 Author ID: pitman.jim-william Published as: Pitman, Jim; Pitman, J. W.; Pitman, Jim W.; Pitman, James W.; Pitman, J. B. more...less Homepage: http://www.stat.berkeley.edu/~pitman/ External Links: MGP · ORCID
 Documents Indexed: 171 Publications since 1972, including 2 Books Biographic References: 1 Publication Co-Authors: 74 Co-Authors with 144 Joint Publications 2,191 Co-Co-Authors
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### Co-Authors

 27 single-authored 43 Yor, Marc 14 Aldous, David John 11 Gnedin, Alexander V. 9 Tang, Wenpin 8 Winkel, Matthias 6 Evans, Steven Neil 4 Bertoin, Jean 4 Miermont, Grégory 4 Yakubovich, Yuri V. 3 Broderick, Tamara 3 Burdzy, Krzysztof 3 Dubins, Lester E. 3 Jordan, Michael Irwin 3 Ross, Nathan 2 Abramson, Josh 2 Barlow, Martin T. 2 Diaconis, Persi Warren 2 Fill, James Allen 2 Fitzsimmons, Patrick J. 2 Forman, Noah Mills 2 Greenwood, Priscilla E. 2 Haas, Bénédicte 2 Hansen, Ben 2 Haulk, Chris 2 Jeanblanc, Monique 2 Kozlov, Sergeĭ Mikhaĭlovich 2 Peres, Yuval 2 Rizzolo, Douglas 2 Uribe Bravo, Gerónimo 1 Adhikari, Ani 1 Alappattu, Jomy 1 Asmussen, Søren 1 Assaf, Sami H. 1 Balabdaoui, Fadoua 1 Bennies, Jürgen 1 Berestycki, Nathanaël 1 Biane, Philippe 1 Camarri, Michael 1 Carmona, Philippe 1 Chaumont, Loïc 1 Dette, Holger 1 Dong, Rui 1 Duchamps, Jean-Jil 1 Freedman, David A. 1 Glynn, Peter W. 1 Goldie, Charles M. 1 Guntuboyina, Adityanand 1 Heathcote, Christopher R. 1 Ismail, Mourad El-Houssieny 1 Jacobsen, Martin 1 Klass, Michael J. 1 Le Gall, Jean-François 1 Lupu, Titus 1 McCullagh, Peter 1 McGrath, Michael F. 1 Najnudel, Joseph 1 Neveu, Jacques 1 Ouaki, Mehdi 1 Pal, Soumik 1 Peled, Ron 1 Pemantle, Robin 1 Perman, Mihael 1 Petit, Frédérique 1 Pitman, E. J. G. 1 Rácz, Miklós Z. 1 Rogers, L. C. G. 1 Ruiz de Chavez, Juan 1 Soloff, Jake A. 1 Speed, Terence Paul 1 Stanley, Richard Peter 1 Studden, William J. 1 Tanaka, Ryokichi 1 Tran, Ngoc Mai 1 Winter, Anita
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### Serials

 22 The Annals of Probability 14 Electronic Journal of Probability 11 Probability Theory and Related Fields 8 Electronic Communications in Probability 8 Bernoulli 6 Advances in Applied Probability 6 Combinatorics, Probability and Computing 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 The Annals of Applied Probability 4 Stochastic Processes and their Applications 3 Journal of Combinatorial Theory. Series A 3 Transactions of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 American Mathematical Monthly 2 Canadian Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Studia Scientiarum Mathematicarum Hungarica 2 Statistics & Probability Letters 2 Random Structures & Algorithms 2 Bulletin of the American Mathematical Society. New Series 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Notices of the American Mathematical Society 2 Zapiski Nauchnykh Seminarov POMI 2 Bayesian Analysis 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Theory of Probability and its Applications 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Proceedings of the London Mathematical Society. Third Series 1 Real Analysis Exchange 1 Combinatorica 1 Statistical Science 1 Discrete & Computational Geometry 1 Journal of Theoretical Probability 1 Computational and Applied Mathematics 1 The Electronic Journal of Combinatorics 1 Séminaire Lotharingien de Combinatoire 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Lecture Notes in Mathematics 1 Electronic Journal of Statistics 1 Japanese Journal of Mathematics. 3rd Series 1 Probability Surveys 1 Springer Texts in Statistics
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### Fields

 163 Probability theory and stochastic processes (60-XX) 20 Combinatorics (05-XX) 10 Statistics (62-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Number theory (11-XX) 3 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

153 Publications have been cited 3,224 times in 1,942 Documents Cited by Year
The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Zbl 0880.60076
Pitman, Jim; Yor, Marc
1997
Combinatorial stochastic processes. Ecole d’Eté de Probabilités de Saint-Flour XXXII – 2002. Zbl 1103.60004
Pitman, Jim
2006
Coalescents with multiple collisions. Zbl 0963.60079
Pitman, Jim
1999
A decomposition of Bessel bridges. Zbl 0484.60062
Pitman, Jim; Yor, Marc
1982
Exchangeable and partially exchangeable random partitions. Zbl 0821.60047
Pitman, Jim
1995
Size-biased sampling of Poisson point processes and excursions. Zbl 0741.60037
Perman, Mihael; Pitman, Jim; Yor, Marc
1992
Markov functions. Zbl 0466.60070
Rogers, L. C. G.; Pitman, J. W.
1981
Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions. Zbl 1040.11061
Biane, Philippe; Pitman, Jim; Yor, Marc
2001
One-dimensional Brownian motion and the three-dimensional Bessel process. Zbl 0332.60055
Pitman, James W.
1975
A polytope related to empirical distributions, plane trees, parking functions, and the associahedron. Zbl 1012.52019
Stanley, Richard P.; Pitman, Jim
2002
Rayleigh processes, real trees, and root growth with re-grafting. Zbl 1086.60050
Evans, Steven N.; Pitman, Jim; Winter, Anita
2006
Markovian bridges: Construction, Palm interpretation, and splicing. Zbl 0844.60054
Fitzsimmons, Pat; Pitman, Jim; Yor, Marc
1992
Exchangeable Gibbs partitions and Stirling triangles. Zbl 1293.60010
Gnedin, A.; Pitman, Jim
2005
Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws. Zbl 1189.60050
Gnedin, Alexander; Hansen, Ben; Pitman, Jim
2007
Bessel processes and infinitely divisible laws. Zbl 0469.60076
Pitman, Jim; Yor, Marc
1981
The standard additive coalescent. Zbl 0936.60064
Aldous, David; Pitman, Jim
1998
Asymptotic laws of planar Brownian motion. Zbl 0607.60070
Pitman, Jim; Yor, Marc
1986
One-dimensional Brownian particle systems with rank-dependent drifts. Zbl 1166.60061
Pal, Soumik; Pitman, Jim
2008
Tree-valued Markov chains derived from Galton-Watson processes. Zbl 0917.60082
Aldous, David; Pitman, Jim
1998
On Walsh’s Brownian motions. Zbl 0747.60072
Barlow, Martin; Pitman, Jim; Yor, Marc
1989
Random discrete distributions invariant under size-biased permutation. Zbl 0853.62018
Pitman, Jim
1996
Riffle shuffles, cycles, and descents. Zbl 0828.05003
Diaconis, Persi; McGrath, Michael; Pitman, Jim
1995
Probabilistic bounds on the coefficients of polynomials with only real zeros. Zbl 0866.60016
Pitman, Jim
1997
Regenerative composition structures. Zbl 1070.60034
Gnedin, Alexander; Pitman, Jim
2005
Discretization error in simulation of one-dimensional reflecting Brownian motion. Zbl 0853.65147
Asmussen, Søren; Glynn, Peter; Pitman, Jim
1995
A multi- dimensional extension of the arcsine law. (Une extension multidimensionnelle de la loi de l’arc sinus.) Zbl 0738.60072
Barlow, Martin; Pitman, Jim; Yor, Marc
1989
Fluctuation identities for Levy processes and splitting at the maximum. Zbl 0443.60037
Greenwood, Priscilla; Pitman, Jim
1980
Arcsine laws and interval partitions derived from a stable subordinator. Zbl 0769.60014
Pitman, Jim; Yor, Marc
1992
Uniform rates of convergence for Markov chain transition probabilities. Zbl 0373.60077
Pitman, J. W.
1974
Kac’s moment formula and the Feynman-Kac formula for additive functionals of a Markov process. Zbl 0962.60067
Fitzsimmons, P. J.; Pitman, Jim
1999
Infinitely divisible laws associated with hyperbolic functions. Zbl 1039.11054
Pitman, Jim; Yor, Marc
2003
Asymptotic laws for compositions derived from transformed subordinators. Zbl 1142.60327
Gnedin, Alexander; Pitman, Jim; Yor, Marc
2006
Construction of Markovian coalescents. Zbl 0906.60058
Evans, Steven N.; Pitman, Jim
1998
Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic models. Zbl 1155.92033
Haas, Bénédicte; Miermont, Grégory; Pitman, Jim; Winkel, Matthias
2008
Partition structures derived from Brownian motion and stable subordinators. Zbl 0882.60081
Pitman, Jim
1997
Coalescent random forests. Zbl 0918.05042
Pitman, Jim
1999
Hitting, occupation and inverse local times of one-dimensional diffusions: Martingale and excursion approaches. Zbl 1024.60032
Pitman, Jim; Yor, Marc
2003
Path transformations connecting Brownian bridge, excursion and meander. Zbl 0805.60076
Bertoin, Jean; Pitman, Jim
1994
The branching process in a Brownian excursion. Zbl 0741.60081
Neveu, J.; Pitman, J. W.
1989
Brownian bridge asymptotics for random mappings. Zbl 0811.60057
Aldous, David J.; Pitman, Jim
1994
On coupling of Markov chains. Zbl 0356.60003
Pitman, J. W.
1976
Analysis of top to random shuffles. Zbl 0798.60008
Diaconis, Persi; Fill, James Allen; Pitman, Jim
1992
Decomposition at the maximum for excursions and bridges of one-dimensional diffusions. Zbl 0877.60053
Pitman, Jim; Yor, Marc
1996
Some probabilistic aspects of set partitions. Zbl 0876.05005
Pitman, Jim
1997
Brownian motion, bridge excursion, and meander characterized by sampling at independent uniform times. Zbl 0935.60068
Pitman, Jim
1999
Occupation measures for Markov chains. Zbl 0389.60053
Pitman, J. W.
1977
Beta processes, stick-breaking and power laws. Zbl 1330.62218
Broderick, Tamara; Jordan, Michael I.; Pitman, Jim
2012
Further asymptotic laws of planar Brownian motion. Zbl 0686.60085
Pitman, Jim; Yor, Marc
1989
Self-similar processes with independent increments associated with Lévy and Bessel processes. Zbl 1059.60052
Jeanblanc, M.; Pitman, Jim; Yor, Marc
2002
Path transformations of first passage bridges. Zbl 1061.60083
Bertoin, Jean; Chaumont, Loïc; Pitman, Jim
2003
Spinal partitions and invariance under re-rooting of continuum random trees. Zbl 1181.60128
Haas, Bénédicte; Pitman, Jim; Winkel, Matthias
2009
Limit distributions and random trees derived from the birthday problem with unequal probabilities. Zbl 0953.60030
Camarri, Michael; Pitman, Jim
2000
Asymptotic laws for regenerative compositions: gamma subordinators and the like. Zbl 1099.60023
Gnedin, Alexander; Pitman, Jim; Yor, Marc
2006
The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest. Zbl 0954.60060
Pitman, Jim
1999
Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent. Zbl 0969.60015
Aldous, David; Pitman, Jim
2000
Enumerations of trees and forests related to branching processes and random walks. Zbl 0908.05027
Pitman, Jim
1998
Poisson-Dirichlet and GEM invariant distributions for split-and-merge transformations of an interval partition. Zbl 1011.60051
Pitman, Jim
2002
Excheangable partitions derived from Markovian coalescents. Zbl 1147.60022
Dong, Rui; Gnedin, Alexander; Pitman, Jim
2007
Moments of convex distribution functions and completely alternating sequences. Zbl 1176.60027
Gnedin, Alexander; Pitman, Jim
2008
The distribution of local times of a Brownian bridge. Zbl 0945.60081
Pitman, Jim
1999
The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin’s local time identity. Zbl 1056.60011
Aldous, David; Miermont, Grégory; Pitman, Jim
2004
Prediction rules for exchangeable sequences related to species sampling. Zbl 0944.62109
Hansen, Ben; Pitman, Jim
2000
The convex minorant of a Lévy process. Zbl 1248.60053
Pitman, Jim; Uribe Bravo, Gerónimo
2012
Regenerative tree growth: binary self-similar continuum random trees and Poisson-Dirichlet compositions. Zbl 1189.60162
Pitman, Jim; Winkel, Matthias
2009
Gibbs distributions for random partitions generated by a fragmentation process. Zbl 1126.82013
Berestycki, Nathanaël; Pitman, Jim
2007
Feature allocations, probability functions, and paintboxes. Zbl 1329.62278
Broderick, Tamara; Pitman, Jim; Jordan, Michael I.
2013
The law of the maximum of a Bessel bridge. Zbl 0943.60084
Pitman, Jim; Yor, Marc
1999
Regenerative partition structures. Zbl 1078.60009
Gnedin, Alexander; Pitman, Jim
2005
Cyclically stationary Brownian local time processes. Zbl 0857.60074
Pitman, Jim
1996
Gibbs fragmentation trees. Zbl 1158.60373
McCullagh, Peter; Pitman, Jim; Winkel, Matthias
2008
Cluster and feature modeling from combinatorial stochastic processes. Zbl 1331.62124
Broderick, Tamara; Jordan, Michael I.; Pitman, Jim
2013
Laplace transforms related to excursions of a one-dimensional diffusion. Zbl 0921.60015
Pitman, Jim; Yor, Marc
1999
On the zero-one law for exchangeable events. Zbl 0414.60042
Aldous, David; Pitman, Jim
1979
Forest volume decompositions and Abel-Cayley-Hurwitz multinomial expansions. Zbl 0999.05006
Pitman, Jim
2002
Probability. Zbl 0779.60001
Pitman, Jim
1993
Brownian bridge asymptotics for random $$p$$-mappings. Zbl 1064.60012
Aldous, David; Miermont, Grégory; Pitman, Jim
2004
Two coalescents derived from the ranges of stable subordinators. Zbl 0949.60034
Bertoin, Jean; Pitman, Jim
2000
Birth, death and conditioning of Markov chains. Zbl 0363.60052
Jacobsen, Martin; Pitman, Jim W.
1977
On the distribution of ranked heights of excursions of a Brownian bridge. Zbl 1033.60050
Pitman, Jim; Yor, Marc
2001
The Feynman-Kac formula and decomposition of Brownian paths. Zbl 0877.60027
Jeanblanc, M.; Pitman, Jim; Yor, Marc
1997
Wall and Siegmund duality relations for birth and death chains with reflecting barrier. Zbl 0894.60076
Dette, Holger; Fill, James Allen; Pitman, Jim; Studden, William J.
1997
A note on random times. Zbl 0275.60060
Pitman, J. W.; Speed, T. P.
1973
Algebraic evaluations of some Euler integrals, duplication formulae for Appell’s hypergeometric function $$F_1$$ and Brownian variations. Zbl 0961.33012
Ismail, Mourad E. H.; Pitman, Jim
2000
Convex minorants of random walks and Lévy processes. Zbl 1243.60039
Abramson, Josh; Pitman, Jim; Ross, Nathan; Uribe Bravo, Gerónimo
2011
A maximal inequality for skew fields. Zbl 0427.60053
Dubins, Lester E.; Pitman, Jim
1980
Schröder’s problems and scaling limits of random trees. Zbl 1323.60024
Pitman, Jim; Rizzolo, Douglas
2015
Random mappings, forests, and subsets associated with Abel-Cayley-Hurwitz multinomial expansions. Zbl 0990.05071
Pitman, Jim
2001
Construction of local time and Poisson point processes from nested arrays. Zbl 0427.60048
Greenwood, Priscilla; Pitman, Jim
1980
The distribution of the maximal difference between a Brownian bridge and its concave majorant. Zbl 1284.60151
2011
The Slepian zero set, and Brownian bridge embedded in Brownian motion by a spacetime shift. Zbl 1332.60121
Pitman, Jim; Tang, Wenpin
2015
On the laws of homogeneous functionals of the Brownian bridge. Zbl 0980.60099
Carmona, P.; Petit, F.; Pitman, Jim; Yor, Marc
1999
A family of random trees with random edge lengths. Zbl 0934.05117
Aldous, David; Pitman, Jim
1999
On the lengths of excursions of some Markov processes. Zbl 0884.60071
Pitman, Jim; Yor, Marc
1997
Extremes and gaps in sampling from a GEM random discrete distribution. Zbl 1364.60069
Pitman, Jim; Yakubovich, Yuri
2017
Itô’s excursion theory and its applications. Zbl 1156.60066
Pitman, Jim; Yor, Marc
2007
Regenerative random permutations of integers. Zbl 1414.05019
Pitman, Jim; Tang, Wenpin
2019
Random discrete distributions derived from self-similar random sets. Zbl 0891.60042
Pitman, Jim; Yor, Marc
1996
Some divergent integrals of Brownian motion. Zbl 0618.60074
Pitman, J. W.; Yor, M.
1986
Levy systems and path decompositions. Zbl 0518.60077
Pitman, J. W.
1981
Size-biased permutation of a finite sequence with independent and identically distributed terms. Zbl 1362.60036
Pitman, Jim; Tran, Ngoc M.
2015
Bounds on the probability of radically different opinions. Zbl 1456.60052
Burdzy, Krzysztof; Pitman, Jim
2020
Regenerative random permutations of integers. Zbl 1414.05019
Pitman, Jim; Tang, Wenpin
2019
Renewal sequences and record chains related to multiple zeta sums. Zbl 1443.11165
Duchamps, Jean-Jil; Pitman, Jim; Tang, Wenpin
2019
Distribution-free properties of isotonic regression. Zbl 1434.62057
Soloff, Jake A.; Guntuboyina, Adityanand; Pitman, Jim
2019
Gaps and interleaving of point processes in sampling from a residual allocation model. Zbl 1428.62190
Pitman, Jim; Yakubovich, Yuri
2019
Tree formulas, mean first passage times and Kemeny’s constant of a Markov chain. Zbl 1462.60101
Pitman, Jim; Tang, Wenpin
2018
A representation of exchangeable hierarchies by sampling from random real trees. Zbl 1428.60052
Forman, Noah; Haulk, Chris; Pitman, Jim
2018
Ordered and size-biased frequencies in GEM and Gibbs’ models for species sampling. Zbl 1410.60015
Pitman, Jim; Yakubovich, Yuri
2018
Squared Bessel processes of positive and negative dimension embedded in Brownian local times. Zbl 1414.60068
Pitman, Jim; Winkel, Matthias
2018
Extremes and gaps in sampling from a GEM random discrete distribution. Zbl 1364.60069
Pitman, Jim; Yakubovich, Yuri
2017
The spans in Brownian motion. Zbl 1395.60100
Evans, Steven; Pitman, Jim; Tang, Wenpin
2017
A direct approach to the stable distributions. Zbl 1426.60020
Pitman, E. J. G.; Pitman, Jim
2016
Schröder’s problems and scaling limits of random trees. Zbl 1323.60024
Pitman, Jim; Rizzolo, Douglas
2015
The Slepian zero set, and Brownian bridge embedded in Brownian motion by a spacetime shift. Zbl 1332.60121
Pitman, Jim; Tang, Wenpin
2015
Size-biased permutation of a finite sequence with independent and identically distributed terms. Zbl 1362.60036
Pitman, Jim; Tran, Ngoc M.
2015
Beta-gamma tail asymptotics. Zbl 1328.60059
Pitman, Jim; Racz, Miklos Z.
2015
Regenerative tree growth: Markovian embedding of fragmenters, bifurcators, and bead splitting processes. Zbl 1330.60106
Pitman, Jim; Winkel, Matthias
2015
The quantile transform of simple walks and Brownian motion. Zbl 1335.60067
Assaf, Sami; Forman, Noah Mills; Pitman, Jim
2015
Patterns in random walks and Brownian motion. Zbl 1334.60163
Pitman, Jim; Tang, Wenpin
2015
Martingale marginals do not always determine convergence. Zbl 1336.60081
Pitman, Jim
2015
Regenerative tree growth: structural results and convergence. Zbl 1304.60096
Pitman, Jim; Rizzolo, Douglas; Winkel, Matthias
2014
Feature allocations, probability functions, and paintboxes. Zbl 1329.62278
Broderick, Tamara; Pitman, Jim; Jordan, Michael I.
2013
Cluster and feature modeling from combinatorial stochastic processes. Zbl 1331.62124
Broderick, Tamara; Jordan, Michael I.; Pitman, Jim
2013
Beta processes, stick-breaking and power laws. Zbl 1330.62218
Broderick, Tamara; Jordan, Michael I.; Pitman, Jim
2012
The convex minorant of a Lévy process. Zbl 1248.60053
Pitman, Jim; Uribe Bravo, Gerónimo
2012
The greatest convex minorant of Brownian motion, meander, and bridge. Zbl 1255.60143
Pitman, Jim; Ross, Nathan
2012
Archimedes, Gauss, and Stein. Zbl 1284.60036
Pitman, Jim; Ross, Nathan
2012
Convex minorants of random walks and Lévy processes. Zbl 1243.60039
Abramson, Josh; Pitman, Jim; Ross, Nathan; Uribe Bravo, Gerónimo
2011
The distribution of the maximal difference between a Brownian bridge and its concave majorant. Zbl 1284.60151
2011
Concave majorants of random walks and related Poisson processes. Zbl 1229.60056
Abramson, Josh; Pitman, Jim
2011
Characterizations of exchangeable partitions and random discrete distributions by deletion properties. Zbl 1208.60008
Gnedin, Alexander; Haulk, Chris; Pitman, Jim
2010
Spinal partitions and invariance under re-rooting of continuum random trees. Zbl 1181.60128
Haas, Bénédicte; Pitman, Jim; Winkel, Matthias
2009
Regenerative tree growth: binary self-similar continuum random trees and Poisson-Dirichlet compositions. Zbl 1189.60162
Pitman, Jim; Winkel, Matthias
2009
One-dimensional Brownian particle systems with rank-dependent drifts. Zbl 1166.60061
Pal, Soumik; Pitman, Jim
2008
Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic models. Zbl 1155.92033
Haas, Bénédicte; Miermont, Grégory; Pitman, Jim; Winkel, Matthias
2008
Moments of convex distribution functions and completely alternating sequences. Zbl 1176.60027
Gnedin, Alexander; Pitman, Jim
2008
Gibbs fragmentation trees. Zbl 1158.60373
McCullagh, Peter; Pitman, Jim; Winkel, Matthias
2008
Coloured loop-erased random walk on the complete graph. Zbl 1169.60008
Alappattu, Jomy; Pitman, Jim
2008
Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws. Zbl 1189.60050
Gnedin, Alexander; Hansen, Ben; Pitman, Jim
2007
Excheangable partitions derived from Markovian coalescents. Zbl 1147.60022
Dong, Rui; Gnedin, Alexander; Pitman, Jim
2007
Gibbs distributions for random partitions generated by a fragmentation process. Zbl 1126.82013
Berestycki, Nathanaël; Pitman, Jim
2007
Itô’s excursion theory and its applications. Zbl 1156.60066
Pitman, Jim; Yor, Marc
2007
Poisson representation of a Ewens fragmentation process. Zbl 1129.60091
Gnedin, Alexander; Pitman, Jim
2007
Combinatorial stochastic processes. Ecole d’Eté de Probabilités de Saint-Flour XXXII – 2002. Zbl 1103.60004
Pitman, Jim
2006
Rayleigh processes, real trees, and root growth with re-grafting. Zbl 1086.60050
Evans, Steven N.; Pitman, Jim; Winter, Anita
2006
Asymptotic laws for compositions derived from transformed subordinators. Zbl 1142.60327
Gnedin, Alexander; Pitman, Jim; Yor, Marc
2006
Asymptotic laws for regenerative compositions: gamma subordinators and the like. Zbl 1099.60023
Gnedin, Alexander; Pitman, Jim; Yor, Marc
2006
Two recursive decompositions of Brownian bridge related to the asymptotics of random mappings. Zbl 1124.60012
Aldous, David; Pitman, Jim
2006
Exchangeable Gibbs partitions and Stirling triangles. Zbl 1293.60010
Gnedin, A.; Pitman, Jim
2005
Regenerative composition structures. Zbl 1070.60034
Gnedin, Alexander; Pitman, Jim
2005
Regenerative partition structures. Zbl 1078.60009
Gnedin, Alexander; Pitman, Jim
2005
Self-similar and Markov composition structures. Zbl 1105.60011
Gnedin, A.; Pitman, Jim
2005
Growth of the Brownian forest. Zbl 1092.60033
Pitman, Jim; Winkel, Matthias
2005
Weak convergence of random p-mappings and the exploration process of inhomogeneous continuum random trees. Zbl 1078.60006
Aldous, David; Miermont, Grégory; Pitman, Jim
2005
The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin’s local time identity. Zbl 1056.60011
Aldous, David; Miermont, Grégory; Pitman, Jim
2004
Brownian bridge asymptotics for random $$p$$-mappings. Zbl 1064.60012
Aldous, David; Miermont, Grégory; Pitman, Jim
2004
Some properties of the arc-sine law related to its invariance under a family of rational maps. Zbl 1268.37071
Pitman, Jim; Yor, Marc
2004
Infinitely divisible laws associated with hyperbolic functions. Zbl 1039.11054
Pitman, Jim; Yor, Marc
2003
Hitting, occupation and inverse local times of one-dimensional diffusions: Martingale and excursion approaches. Zbl 1024.60032
Pitman, Jim; Yor, Marc
2003
Path transformations of first passage bridges. Zbl 1061.60083
Bertoin, Jean; Chaumont, Loïc; Pitman, Jim
2003
A polytope related to empirical distributions, plane trees, parking functions, and the associahedron. Zbl 1012.52019
Stanley, Richard P.; Pitman, Jim
2002
Self-similar processes with independent increments associated with Lévy and Bessel processes. Zbl 1059.60052
Jeanblanc, M.; Pitman, Jim; Yor, Marc
2002
Poisson-Dirichlet and GEM invariant distributions for split-and-merge transformations of an interval partition. Zbl 1011.60051
Pitman, Jim
2002
Forest volume decompositions and Abel-Cayley-Hurwitz multinomial expansions. Zbl 0999.05006
Pitman, Jim
2002
Invariance principles for non-uniform random mappings and trees. Zbl 1027.60003
Aldous, David; Pitman, Jim
2002
The asymptotic distribution of the diameter of a random mapping. Zbl 1002.60075
Aldous, David; Pitman, Jim
2002
Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions. Zbl 1040.11061
Biane, Philippe; Pitman, Jim; Yor, Marc
2001
On the distribution of ranked heights of excursions of a Brownian bridge. Zbl 1033.60050
Pitman, Jim; Yor, Marc
2001
Random mappings, forests, and subsets associated with Abel-Cayley-Hurwitz multinomial expansions. Zbl 0990.05071
Pitman, Jim
2001
Where did the Brownian particle go? Zbl 0977.60071
Pemantle, Robin; Peres, Yuval; Pitman, Jim; Yor, Marc
2001
Asymptotics of the Hurwitz binomial distribution related to mixed Poisson Galton-Watson trees. Zbl 0979.60077
Bennies, Jürgen; Pitman, Jim
2001
Limit distributions and random trees derived from the birthday problem with unequal probabilities. Zbl 0953.60030
Camarri, Michael; Pitman, Jim
2000
Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent. Zbl 0969.60015
Aldous, David; Pitman, Jim
2000
Prediction rules for exchangeable sequences related to species sampling. Zbl 0944.62109
Hansen, Ben; Pitman, Jim
2000
Two coalescents derived from the ranges of stable subordinators. Zbl 0949.60034
Bertoin, Jean; Pitman, Jim
2000
Algebraic evaluations of some Euler integrals, duplication formulae for Appell’s hypergeometric function $$F_1$$ and Brownian variations. Zbl 0961.33012
Ismail, Mourad E. H.; Pitman, Jim
2000
Coalescents with multiple collisions. Zbl 0963.60079
Pitman, Jim
1999
Kac’s moment formula and the Feynman-Kac formula for additive functionals of a Markov process. Zbl 0962.60067
Fitzsimmons, P. J.; Pitman, Jim
1999
Coalescent random forests. Zbl 0918.05042
Pitman, Jim
1999
Brownian motion, bridge excursion, and meander characterized by sampling at independent uniform times. Zbl 0935.60068
Pitman, Jim
1999
The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest. Zbl 0954.60060
Pitman, Jim
1999
The distribution of local times of a Brownian bridge. Zbl 0945.60081
Pitman, Jim
1999
The law of the maximum of a Bessel bridge. Zbl 0943.60084
Pitman, Jim; Yor, Marc
1999
Laplace transforms related to excursions of a one-dimensional diffusion. Zbl 0921.60015
Pitman, Jim; Yor, Marc
1999
On the laws of homogeneous functionals of the Brownian bridge. Zbl 0980.60099
Carmona, P.; Petit, F.; Pitman, Jim; Yor, Marc
1999
A family of random trees with random edge lengths. Zbl 0934.05117
Aldous, David; Pitman, Jim
1999
Path decompositions of a Brownian bridge related to the ratio of its maximum and amplitude. Zbl 0973.60082
Pitman, Jim; Yor, Marc
1999
Constructions of a Brownian path with a given minimum. Zbl 1021.60060
Bertoin, Jean; Pitman, Jim; Ruiz de Chavez, Juan
1999
The standard additive coalescent. Zbl 0936.60064
Aldous, David; Pitman, Jim
1998
Tree-valued Markov chains derived from Galton-Watson processes. Zbl 0917.60082
Aldous, David; Pitman, Jim
1998
Construction of Markovian coalescents. Zbl 0906.60058
Evans, Steven N.; Pitman, Jim
1998
Enumerations of trees and forests related to branching processes and random walks. Zbl 0908.05027
Pitman, Jim
1998
Random Brownian scaling identities and splicing of Bessel processes. Zbl 0937.60079
Pitman, Jim; Yor, Marc
1998
Stationary Markov processes related to stable Ornstein-Uhlenbeck processes and the additive coalescent. Zbl 0934.60046
Evans, Steven N.; Pitman, Jim
1998
Fonctionnelles ordonnées des excursions browniennes. (Ranked functionals of Brownian excursions.) Zbl 0924.60073
Pitman, Jim; Yor, Marc
1998
The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Zbl 0880.60076
Pitman, Jim; Yor, Marc
1997
Probabilistic bounds on the coefficients of polynomials with only real zeros. Zbl 0866.60016
Pitman, Jim
1997
Partition structures derived from Brownian motion and stable subordinators. Zbl 0882.60081
Pitman, Jim
1997
Some probabilistic aspects of set partitions. Zbl 0876.05005
Pitman, Jim
1997
The Feynman-Kac formula and decomposition of Brownian paths. Zbl 0877.60027
Jeanblanc, M.; Pitman, Jim; Yor, Marc
1997
...and 53 more Documents
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### Cited by 2,046 Authors

 59 Pitman, Jim William 52 Yor, Marc 31 Favaro, Stefano 25 Prünster, Igor 24 Möhle, Martin 23 Bertoin, Jean 21 Gnedin, Alexander V. 20 Huillet, Thierry E. 20 Iksanov, Aleksander M. 20 Lijoi, Antonio 18 Delmas, Jean-François 18 Diaconis, Persi Warren 17 Fulman, Jason E. 16 Le Gall, Jean-François 16 Pal, Soumik 16 Winkel, Matthias 15 James, Lancelot F. 15 Vallois, Pierre 14 O’Connell, Neil 13 Abraham, Romain 13 Haas, Bénédicte 13 Lau, John Wei 13 Peres, Yuval 12 Berestycki, Nathanaël 12 Janson, Svante 12 Miermont, Grégory 12 Müller, Peter 11 Feng, Shui 11 Schweinsberg, Jason Ross 10 Aldous, David John 10 Crane, Harry 10 Evans, Steven Neil 10 Lambert, Amaury 10 Quintana, Fernando Andrés 10 Roynette, Bernard 10 Siri-Jegousse, Arno 10 Uribe Bravo, Gerónimo 10 Yano, Kouji 9 Duquesne, Thomas 9 Karatzas, Ioannis 9 Li, Zenghu 9 Patie, Pierre 9 Rizzolo, Douglas 9 Scherer, Matthias 9 Tang, Wenpin 9 Teh, Yee Whye 9 Wang, Yizao 8 Berestycki, Julien 8 Casanova, Adrián González 8 Griffiths, Robert C. 8 He, Hui 8 Ichiba, Tomoyuki 8 Kendall, Wilfrid S. 8 Kersting, Götz-Dietrich 8 Limic, Vlada 8 Linetsky, Vadim 8 Mai, Jan-Frederik 8 Mallein, Bastien 8 Marynych, Alexander V. 8 Roberts, Gareth O. 8 Rosen, Jay S. 8 Salminen, Paavo H. 8 Shi, Zhan 8 Shkolnikov, Mykhaylo 8 Trippa, Lorenzo 8 Winter, Anita 8 Yan, Catherine Huafei 8 Zeitouni, Ofer 8 Zhou, Xiaowen 7 Banerjee, Sayan 7 Baudoin, Fabrice 7 Blath, Jochen 7 Camerlenghi, Federico 7 Devroye, Luc P. J. A. 7 Durrett, Richard Timothy 7 Forman, Noah Mills 7 Freund, Fabian 7 Greven, Andreas 7 Leisen, Fabrizio 7 Marckert, Jean-François 7 Rodríguez, Abel 7 Ross, Nathan 7 Sarantsev, Andrey 6 Addario-Berry, Louigi 6 Bassetti, Federico 6 Battiston, Marco 6 Canale, Antonio 6 Chebunin, Mikhail Georgievich 6 Curien, Nicolas 6 Eisenbaum, Nathalie 6 Eldon, Bjarki 6 Granovsky, Boris L. 6 Grübel, Rudolf 6 Hansen, Jennie C. 6 Kim, Gene B. 6 Kovchegov, Yevgeniy V. 6 Kumar, Chanchal 6 Lessard, Sabin 6 Madan, Dilip B. 6 Mena, Ramsés H. ...and 1,946 more Authors
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### Cited in 292 Serials

 141 Stochastic Processes and their Applications 121 The Annals of Probability 99 The Annals of Applied Probability 88 Probability Theory and Related Fields 69 Journal of Applied Probability 60 Statistics & Probability Letters 58 Bernoulli 55 Journal of Theoretical Probability 52 Advances in Applied Probability 52 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 45 Electronic Journal of Probability 36 Journal of Statistical Physics 27 Journal of Combinatorial Theory. Series A 26 Theoretical Population Biology 24 Transactions of the American Mathematical Society 24 Advances in Applied Mathematics 24 ALEA. Latin American Journal of Probability and Mathematical Statistics 23 Random Structures & Algorithms 21 Electronic Communications in Probability 19 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 19 Bayesian Analysis 18 The Electronic Journal of Combinatorics 15 Electronic Journal of Statistics 14 Combinatorics, Probability and Computing 13 Journal of Functional Analysis 13 Statistics and Computing 12 Methodology and Computing in Applied Probability 12 Probability Surveys 11 Journal of Mathematical Analysis and Applications 11 Annals of the Institute of Statistical Mathematics 11 Proceedings of the American Mathematical Society 10 Communications in Mathematical Physics 10 Journal of Statistical Planning and Inference 10 Stochastic Analysis and Applications 10 Statistical Science 10 Finance and Stochastics 10 Mathematical Finance 9 Discrete Mathematics 9 The Annals of Statistics 9 Journal of the American Statistical Association 9 International Journal of Theoretical and Applied Finance 9 Brazilian Journal of Probability and Statistics 9 Stochastics 9 Frontiers of Mathematics in China 9 The Annals of Applied Statistics 8 Journal of Mathematical Biology 8 Insurance Mathematics & Economics 8 Journal of Algebraic Combinatorics 8 Potential Analysis 7 Journal of Multivariate Analysis 7 Acta Applicandae Mathematicae 7 Communications in Statistics. Theory and Methods 7 Computational Statistics and Data Analysis 7 Annals of Combinatorics 6 Journal of Mathematical Physics 6 Advances in Mathematics 6 Journal of Computational and Applied Mathematics 6 Journal of Econometrics 6 Queueing Systems 6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 6 Stochastic Models 6 Journal of Statistical Mechanics: Theory and Experiment 6 Sankhyā. Series A 5 Lithuanian Mathematical Journal 5 Scandinavian Journal of Statistics 5 Annales de l’Institut Fourier 5 Biometrics 5 Duke Mathematical Journal 5 Journal of Algebra 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 European Journal of Combinatorics 5 Linear Algebra and its Applications 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Journal of Mathematical Sciences (New York) 5 Séminaire Lotharingien de Combinatoire 5 Probability in the Engineering and Informational Sciences 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Statistical Methods and Applications 5 Modern Stochastics. Theory and Applications 4 Indian Journal of Pure & Applied Mathematics 4 Israel Journal of Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Bulletin of Mathematical Biology 4 Memoirs of the American Mathematical Society 4 Operations Research Letters 4 International Journal of Approximate Reasoning 4 SIAM Journal on Discrete Mathematics 4 Machine Learning 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Test 4 Journal of Physics A: Mathematical and Theoretical 4 Journal of Probability and Statistics 3 Communications on Pure and Applied Mathematics 3 Mathematical Biosciences 3 Periodica Mathematica Hungarica 3 Studia Mathematica 3 Theory of Probability and its Applications 3 Inventiones Mathematicae 3 Journal of the Mathematical Society of Japan 3 Probability and Mathematical Statistics ...and 192 more Serials
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### Cited in 59 Fields

 1,504 Probability theory and stochastic processes (60-XX) 313 Statistics (62-XX) 311 Combinatorics (05-XX) 177 Biology and other natural sciences (92-XX) 133 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 98 Statistical mechanics, structure of matter (82-XX) 88 Numerical analysis (65-XX) 56 Number theory (11-XX) 44 Partial differential equations (35-XX) 41 Dynamical systems and ergodic theory (37-XX) 37 Convex and discrete geometry (52-XX) 33 Operations research, mathematical programming (90-XX) 31 Special functions (33-XX) 30 Group theory and generalizations (20-XX) 30 Computer science (68-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 28 Operator theory (47-XX) 27 Measure and integration (28-XX) 20 Global analysis, analysis on manifolds (58-XX) 16 Systems theory; control (93-XX) 14 Quantum theory (81-XX) 13 Differential geometry (53-XX) 12 Functions of a complex variable (30-XX) 12 Potential theory (31-XX) 12 Ordinary differential equations (34-XX) 12 Integral transforms, operational calculus (44-XX) 11 Algebraic geometry (14-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Functional analysis (46-XX) 9 Commutative algebra (13-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 General topology (54-XX) 7 Real functions (26-XX) 7 Approximations and expansions (41-XX) 6 Associative rings and algebras (16-XX) 6 Nonassociative rings and algebras (17-XX) 6 Topological groups, Lie groups (22-XX) 6 Information and communication theory, circuits (94-XX) 5 History and biography (01-XX) 5 Geometry (51-XX) 4 Sequences, series, summability (40-XX) 4 Abstract harmonic analysis (43-XX) 4 Manifolds and cell complexes (57-XX) 3 Field theory and polynomials (12-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)