Edit Profile (opens in new tab) Pitman, Jim William Co-Author Distance 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: 172 Publications since 1972, including 2 Books Biographic References: 1 Publication Co-Authors: 74 Co-Authors with 145 Joint Publications 2,345 Co-Co-Authors all top 5 Co-Authors 27 single-authored 43 Yor, Marc 14 Aldous, David John 11 Gnedin, Alexander V. 10 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 all top 5 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 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Combinatorial Theory. Series A 3 Transactions of the American Mathematical Society 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 all top 5 Fields 164 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 158 Publications have been cited 3,669 times in 2,234 Documents Cited by ▼ Year ▼ The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Zbl 0880.60076Pitman, Jim; Yor, Marc 244 1997 Combinatorial stochastic processes. Ecole d’Eté de Probabilités de Saint-Flour XXXII – 2002. Zbl 1103.60004Pitman, Jim 198 2006 Coalescents with multiple collisions. Zbl 0963.60079Pitman, Jim 170 1999 A decomposition of Bessel bridges. Zbl 0484.60062Pitman, Jim; Yor, Marc 152 1982 Exchangeable and partially exchangeable random partitions. Zbl 0821.60047Pitman, Jim 149 1995 Size-biased sampling of Poisson point processes and excursions. Zbl 0741.60037Perman, Mihael; Pitman, Jim; Yor, Marc 104 1992 Markov functions. Zbl 0466.60070Rogers, L. C. G.; Pitman, J. W. 98 1981 Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions. Zbl 1040.11061Biane, Philippe; Pitman, Jim; Yor, Marc 85 2001 One-dimensional Brownian motion and the three-dimensional Bessel process. Zbl 0332.60055Pitman, James W. 81 1975 A polytope related to empirical distributions, plane trees, parking functions, and the associahedron. Zbl 1012.52019Stanley, Richard P.; Pitman, Jim 74 2002 Rayleigh processes, real trees, and root growth with re-grafting. Zbl 1086.60050Evans, Steven N.; Pitman, Jim; Winter, Anita 64 2006 Markovian bridges: Construction, Palm interpretation, and splicing. Zbl 0844.60054Fitzsimmons, Pat; Pitman, Jim; Yor, Marc 63 1992 Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws. Zbl 1189.60050Gnedin, Alexander; Hansen, Ben; Pitman, Jim 59 2007 Bessel processes and infinitely divisible laws. Zbl 0469.60076Pitman, Jim; Yor, Marc 57 1981 Exchangeable Gibbs partitions and Stirling triangles. Zbl 1293.60010Gnedin, A.; Pitman, Jim 55 2005 The standard additive coalescent. Zbl 0936.60064Aldous, David; Pitman, Jim 50 1998 Asymptotic laws of planar Brownian motion. Zbl 0607.60070Pitman, Jim; Yor, Marc 48 1986 One-dimensional Brownian particle systems with rank-dependent drifts. Zbl 1166.60061Pal, Soumik; Pitman, Jim 48 2008 On Walsh’s Brownian motions. Zbl 0747.60072Barlow, Martin; Pitman, Jim; Yor, Marc 47 1989 Discretization error in simulation of one-dimensional reflecting Brownian motion. Zbl 0853.65147Asmussen, Søren; Glynn, Peter; Pitman, Jim 45 1995 Random discrete distributions invariant under size-biased permutation. Zbl 0853.62018Pitman, Jim 45 1996 Regenerative composition structures. Zbl 1070.60034Gnedin, Alexander; Pitman, Jim 44 2005 Probabilistic bounds on the coefficients of polynomials with only real zeros. Zbl 0866.60016Pitman, Jim 44 1997 Tree-valued Markov chains derived from Galton-Watson processes. Zbl 0917.60082Aldous, David; Pitman, Jim 44 1998 Arcsine laws and interval partitions derived from a stable subordinator. Zbl 0769.60014Pitman, Jim; Yor, Marc 42 1992 Riffle shuffles, cycles, and descents. Zbl 0828.05003Diaconis, Persi; McGrath, Michael; Pitman, Jim 41 1995 Infinitely divisible laws associated with hyperbolic functions. Zbl 1039.11054Pitman, Jim; Yor, Marc 41 2003 Fluctuation identities for Levy processes and splitting at the maximum. Zbl 0443.60037Greenwood, Priscilla; Pitman, Jim 41 1980 A multi- dimensional extension of the arcsine law. (Une extension multidimensionnelle de la loi de l’arc sinus.) Zbl 0738.60072Barlow, Martin; Pitman, Jim; Yor, Marc 39 1989 Kac’s moment formula and the Feynman-Kac formula for additive functionals of a Markov process. Zbl 0962.60067Fitzsimmons, P. J.; Pitman, Jim 35 1999 Coalescent random forests. Zbl 0918.05042Pitman, Jim 35 1999 Uniform rates of convergence for Markov chain transition probabilities. Zbl 0373.60077Pitman, J. W. 34 1974 Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic models. Zbl 1155.92033Haas, Bénédicte; Miermont, Grégory; Pitman, Jim; Winkel, Matthias 33 2008 Partition structures derived from Brownian motion and stable subordinators. Zbl 0882.60081Pitman, Jim 29 1997 Construction of Markovian coalescents. Zbl 0906.60058Evans, Steven N.; Pitman, Jim 29 1998 Asymptotic laws for compositions derived from transformed subordinators. Zbl 1142.60327Gnedin, Alexander; Pitman, Jim; Yor, Marc 29 2006 Decomposition at the maximum for excursions and bridges of one-dimensional diffusions. Zbl 0877.60053Pitman, Jim; Yor, Marc 28 1996 Hitting, occupation and inverse local times of one-dimensional diffusions: Martingale and excursion approaches. Zbl 1024.60032Pitman, Jim; Yor, Marc 27 2003 Path transformations connecting Brownian bridge, excursion and meander. Zbl 0805.60076Bertoin, Jean; Pitman, Jim 26 1994 The branching process in a Brownian excursion. Zbl 0741.60081Neveu, J.; Pitman, J. W. 25 1989 Analysis of top to random shuffles. Zbl 0798.60008Diaconis, Persi; Fill, James Allen; Pitman, Jim 25 1992 Brownian bridge asymptotics for random mappings. Zbl 0811.60057Aldous, David J.; Pitman, Jim 25 1994 Some probabilistic aspects of set partitions. Zbl 0876.05005Pitman, Jim 24 1997 On coupling of Markov chains. Zbl 0356.60003Pitman, J. W. 24 1976 Occupation measures for Markov chains. Zbl 0389.60053Pitman, J. W. 22 1977 Brownian motion, bridge excursion, and meander characterized by sampling at independent uniform times. Zbl 0935.60068Pitman, Jim 22 1999 Probability. Zbl 0779.60001Pitman, Jim 21 1993 Beta processes, stick-breaking and power laws. Zbl 1330.62218Broderick, Tamara; Jordan, Michael I.; Pitman, Jim 21 2012 Spinal partitions and invariance under re-rooting of continuum random trees. Zbl 1181.60128Haas, Bénédicte; Pitman, Jim; Winkel, Matthias 21 2009 Further asymptotic laws of planar Brownian motion. Zbl 0686.60085Pitman, Jim; Yor, Marc 20 1989 Self-similar processes with independent increments associated with Lévy and Bessel processes. Zbl 1059.60052Jeanblanc, M.; Pitman, Jim; Yor, Marc 20 2002 Limit distributions and random trees derived from the birthday problem with unequal probabilities. Zbl 0953.60030Camarri, Michael; Pitman, Jim 19 2000 Poisson-Dirichlet and GEM invariant distributions for split-and-merge transformations of an interval partition. Zbl 1011.60051Pitman, Jim 19 2002 The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest. Zbl 0954.60060Pitman, Jim 19 1999 Path transformations of first passage bridges. Zbl 1061.60083Bertoin, Jean; Chaumont, Loïc; Pitman, Jim 18 2003 The convex minorant of a Lévy process. Zbl 1248.60053Pitman, Jim; Uribe Bravo, Gerónimo 17 2012 Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent. Zbl 0969.60015Aldous, David; Pitman, Jim 17 2000 The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin’s local time identity. Zbl 1056.60011Aldous, David; Miermont, Grégory; Pitman, Jim 17 2004 Enumerations of trees and forests related to branching processes and random walks. Zbl 0908.05027Pitman, Jim 16 1998 The distribution of local times of a Brownian bridge. Zbl 0945.60081Pitman, Jim 16 1999 Regenerative tree growth: binary self-similar continuum random trees and Poisson-Dirichlet compositions. Zbl 1189.60162Pitman, Jim; Winkel, Matthias 16 2009 Excheangable partitions derived from Markovian coalescents. Zbl 1147.60022Dong, Rui; Gnedin, Alexander; Pitman, Jim 16 2007 Asymptotic laws for regenerative compositions: gamma subordinators and the like. Zbl 1099.60023Gnedin, Alexander; Pitman, Jim; Yor, Marc 16 2006 Moments of convex distribution functions and completely alternating sequences. Zbl 1176.60027Gnedin, Alexander; Pitman, Jim 15 2008 Prediction rules for exchangeable sequences related to species sampling. Zbl 0944.62109Hansen, Ben; Pitman, Jim 15 2000 Regenerative random permutations of integers. Zbl 1414.05019Pitman, Jim; Tang, Wenpin 15 2019 Forest volume decompositions and Abel-Cayley-Hurwitz multinomial expansions. Zbl 0999.05006Pitman, Jim 15 2002 Convex minorants of random walks and Lévy processes. Zbl 1243.60039Abramson, Josh; Pitman, Jim; Ross, Nathan; Uribe Bravo, Gerónimo 13 2011 Wall and Siegmund duality relations for birth and death chains with reflecting barrier. Zbl 0894.60076Dette, Holger; Fill, James Allen; Pitman, Jim; Studden, William J. 13 1997 Feature allocations, probability functions, and paintboxes. Zbl 1329.62278Broderick, Tamara; Pitman, Jim; Jordan, Michael I. 13 2013 Tree formulas, mean first passage times and Kemeny’s constant of a Markov chain. Zbl 1462.60101Pitman, Jim; Tang, Wenpin 13 2018 Random mappings, forests, and subsets associated with Abel-Cayley-Hurwitz multinomial expansions. Zbl 0990.05071Pitman, Jim 13 2001 The law of the maximum of a Bessel bridge. Zbl 0943.60084Pitman, Jim; Yor, Marc 13 1999 Cluster and feature modeling from combinatorial stochastic processes. Zbl 1331.62124Broderick, Tamara; Jordan, Michael I.; Pitman, Jim 13 2013 Regenerative partition structures. Zbl 1078.60009Gnedin, Alexander; Pitman, Jim 12 2005 Gibbs distributions for random partitions generated by a fragmentation process. Zbl 1126.82013Berestycki, Nathanaël; Pitman, Jim 12 2007 On the zero-one law for exchangeable events. Zbl 0414.60042Aldous, David; Pitman, Jim 12 1979 Laplace transforms related to excursions of a one-dimensional diffusion. Zbl 0921.60015Pitman, Jim; Yor, Marc 12 1999 Cyclically stationary Brownian local time processes. Zbl 0857.60074Pitman, Jim 11 1996 Gibbs fragmentation trees. Zbl 1158.60373McCullagh, Peter; Pitman, Jim; Winkel, Matthias 11 2008 The Feynman-Kac formula and decomposition of Brownian paths. Zbl 0877.60027Jeanblanc, M.; Pitman, Jim; Yor, Marc 10 1997 Algebraic evaluations of some Euler integrals, duplication formulae for Appell’s hypergeometric function \(F_1\) and Brownian variations. Zbl 0961.33012Ismail, Mourad E. H.; Pitman, Jim 10 2000 Brownian bridge asymptotics for random \(p\)-mappings. Zbl 1064.60012Aldous, David; Miermont, Grégory; Pitman, Jim 10 2004 Remarks on the convex minorant of Brownian motion. Zbl 0528.60033Pitman, J. W. 9 1983 Schröder’s problems and scaling limits of random trees. Zbl 1323.60024Pitman, Jim; Rizzolo, Douglas 9 2015 Two coalescents derived from the ranges of stable subordinators. Zbl 0949.60034Bertoin, Jean; Pitman, Jim 9 2000 Birth, death and conditioning of Markov chains. Zbl 0363.60052Jacobsen, Martin; Pitman, Jim W. 9 1977 Construction of local time and Poisson point processes from nested arrays. Zbl 0427.60048Greenwood, Priscilla; Pitman, Jim 9 1980 A note on random times. Zbl 0275.60060Pitman, J. W.; Speed, T. P. 9 1973 Squared Bessel processes of positive and negative dimension embedded in Brownian local times. Zbl 1414.60068Pitman, Jim; Winkel, Matthias 9 2018 On the distribution of ranked heights of excursions of a Brownian bridge. Zbl 1033.60050Pitman, Jim; Yor, Marc 9 2001 Concave majorants of random walks and related Poisson processes. Zbl 1229.60056Abramson, Josh; Pitman, Jim 8 2011 Renewal sequences and record chains related to multiple zeta sums. Zbl 1443.11165Duchamps, Jean-Jil; Pitman, Jim; Tang, Wenpin 8 2019 Size-biased permutation of a finite sequence with independent and identically distributed terms. Zbl 1362.60036Pitman, Jim; Tran, Ngoc M. 8 2015 Itô’s excursion theory and its applications. Zbl 1156.60066Pitman, Jim; Yor, Marc 8 2007 A maximal inequality for skew fields. Zbl 0427.60053Dubins, Lester E.; Pitman, Jim 8 1980 A family of random trees with random edge lengths. Zbl 0934.05117Aldous, David; Pitman, Jim 8 1999 The distribution of the maximal difference between a Brownian bridge and its concave majorant. Zbl 1284.60151Balabdaoui, Fadoua; Pitman, Jim 7 2011 Characterizations of exchangeable partitions and random discrete distributions by deletion properties. Zbl 1208.60008Gnedin, Alexander; Haulk, Chris; Pitman, Jim 7 2010 On the lengths of excursions of some Markov processes. Zbl 0884.60071Pitman, Jim; Yor, Marc 7 1997 Extreme order statistics of random walks. Zbl 1515.60131Pitman, Jim; Tang, Wenpin 1 2023 Hidden symmetries and limit laws in the extreme order statistics of the Laplace random walk. Zbl 1506.60047Pitman, Jim; Tang, Wenpin 1 2022 Feller coupling of cycles of permutations and Poisson spacings in inhomogeneous Bernoulli trials. Zbl 1469.60047Najnudel, Joseph; Pitman, Jim 3 2020 Bounds on the probability of radically different opinions. Zbl 1456.60052Burdzy, Krzysztof; Pitman, Jim 3 2020 Regenerative random permutations of integers. Zbl 1414.05019Pitman, Jim; Tang, Wenpin 15 2019 Renewal sequences and record chains related to multiple zeta sums. Zbl 1443.11165Duchamps, Jean-Jil; Pitman, Jim; Tang, Wenpin 8 2019 Gaps and interleaving of point processes in sampling from a residual allocation model. Zbl 1428.62190Pitman, Jim; Yakubovich, Yuri 3 2019 Distribution-free properties of isotonic regression. Zbl 1434.62057Soloff, Jake A.; Guntuboyina, Adityanand; Pitman, Jim 2 2019 Tree formulas, mean first passage times and Kemeny’s constant of a Markov chain. Zbl 1462.60101Pitman, Jim; Tang, Wenpin 13 2018 Squared Bessel processes of positive and negative dimension embedded in Brownian local times. Zbl 1414.60068Pitman, Jim; Winkel, Matthias 9 2018 A representation of exchangeable hierarchies by sampling from random real trees. Zbl 1428.60052Forman, Noah; Haulk, Chris; Pitman, Jim 7 2018 Ordered and size-biased frequencies in GEM and Gibbs’ models for species sampling. Zbl 1410.60015Pitman, Jim; Yakubovich, Yuri 5 2018 The argmin process of random walks, Brownian motion and Lévy processes. Zbl 1410.60046Pitman, Jim; Tang, Wenpin 1 2018 Extremes and gaps in sampling from a GEM random discrete distribution. Zbl 1364.60069Pitman, Jim; Yakubovich, Yuri 7 2017 The spans in Brownian motion. Zbl 1395.60100Evans, Steven; Pitman, Jim; Tang, Wenpin 1 2017 A direct approach to the stable distributions. Zbl 1426.60020Pitman, E. J. G.; Pitman, Jim 3 2016 Schröder’s problems and scaling limits of random trees. Zbl 1323.60024Pitman, Jim; Rizzolo, Douglas 9 2015 Size-biased permutation of a finite sequence with independent and identically distributed terms. Zbl 1362.60036Pitman, Jim; Tran, Ngoc M. 8 2015 The Slepian zero set, and Brownian bridge embedded in Brownian motion by a spacetime shift. Zbl 1332.60121Pitman, Jim; Tang, Wenpin 7 2015 Beta-gamma tail asymptotics. Zbl 1328.60059Pitman, Jim; Racz, Miklos Z. 4 2015 Regenerative tree growth: Markovian embedding of fragmenters, bifurcators, and bead splitting processes. Zbl 1330.60106Pitman, Jim; Winkel, Matthias 3 2015 The quantile transform of simple walks and Brownian motion. Zbl 1335.60067Assaf, Sami; Forman, Noah Mills; Pitman, Jim 3 2015 Patterns in random walks and Brownian motion. Zbl 1334.60163Pitman, Jim; Tang, Wenpin 1 2015 Martingale marginals do not always determine convergence. Zbl 1336.60081Pitman, Jim 1 2015 Regenerative tree growth: structural results and convergence. Zbl 1304.60096Pitman, Jim; Rizzolo, Douglas; Winkel, Matthias 3 2014 Feature allocations, probability functions, and paintboxes. Zbl 1329.62278Broderick, Tamara; Pitman, Jim; Jordan, Michael I. 13 2013 Cluster and feature modeling from combinatorial stochastic processes. Zbl 1331.62124Broderick, Tamara; Jordan, Michael I.; Pitman, Jim 13 2013 Beta processes, stick-breaking and power laws. Zbl 1330.62218Broderick, Tamara; Jordan, Michael I.; Pitman, Jim 21 2012 The convex minorant of a Lévy process. Zbl 1248.60053Pitman, Jim; Uribe Bravo, Gerónimo 17 2012 Archimedes, Gauss, and Stein. Zbl 1284.60036Pitman, Jim; Ross, Nathan 6 2012 The greatest convex minorant of Brownian motion, meander, and bridge. Zbl 1255.60143Pitman, Jim; Ross, Nathan 5 2012 Convex minorants of random walks and Lévy processes. Zbl 1243.60039Abramson, Josh; Pitman, Jim; Ross, Nathan; Uribe Bravo, Gerónimo 13 2011 Concave majorants of random walks and related Poisson processes. Zbl 1229.60056Abramson, Josh; Pitman, Jim 8 2011 The distribution of the maximal difference between a Brownian bridge and its concave majorant. Zbl 1284.60151Balabdaoui, Fadoua; Pitman, Jim 7 2011 Characterizations of exchangeable partitions and random discrete distributions by deletion properties. Zbl 1208.60008Gnedin, Alexander; Haulk, Chris; Pitman, Jim 7 2010 Spinal partitions and invariance under re-rooting of continuum random trees. Zbl 1181.60128Haas, Bénédicte; Pitman, Jim; Winkel, Matthias 21 2009 Regenerative tree growth: binary self-similar continuum random trees and Poisson-Dirichlet compositions. Zbl 1189.60162Pitman, Jim; Winkel, Matthias 16 2009 One-dimensional Brownian particle systems with rank-dependent drifts. Zbl 1166.60061Pal, Soumik; Pitman, Jim 48 2008 Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic models. Zbl 1155.92033Haas, Bénédicte; Miermont, Grégory; Pitman, Jim; Winkel, Matthias 33 2008 Moments of convex distribution functions and completely alternating sequences. Zbl 1176.60027Gnedin, Alexander; Pitman, Jim 15 2008 Gibbs fragmentation trees. Zbl 1158.60373McCullagh, Peter; Pitman, Jim; Winkel, Matthias 11 2008 Coloured loop-erased random walk on the complete graph. Zbl 1169.60008Alappattu, Jomy; Pitman, Jim 2 2008 Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws. Zbl 1189.60050Gnedin, Alexander; Hansen, Ben; Pitman, Jim 59 2007 Excheangable partitions derived from Markovian coalescents. Zbl 1147.60022Dong, Rui; Gnedin, Alexander; Pitman, Jim 16 2007 Gibbs distributions for random partitions generated by a fragmentation process. Zbl 1126.82013Berestycki, Nathanaël; Pitman, Jim 12 2007 Itô’s excursion theory and its applications. Zbl 1156.60066Pitman, Jim; Yor, Marc 8 2007 Poisson representation of a Ewens fragmentation process. Zbl 1129.60091Gnedin, Alexander; Pitman, Jim 3 2007 Combinatorial stochastic processes. Ecole d’Eté de Probabilités de Saint-Flour XXXII – 2002. Zbl 1103.60004Pitman, Jim 198 2006 Rayleigh processes, real trees, and root growth with re-grafting. Zbl 1086.60050Evans, Steven N.; Pitman, Jim; Winter, Anita 64 2006 Asymptotic laws for compositions derived from transformed subordinators. Zbl 1142.60327Gnedin, Alexander; Pitman, Jim; Yor, Marc 29 2006 Asymptotic laws for regenerative compositions: gamma subordinators and the like. Zbl 1099.60023Gnedin, Alexander; Pitman, Jim; Yor, Marc 16 2006 Two recursive decompositions of Brownian bridge related to the asymptotics of random mappings. Zbl 1124.60012Aldous, David; Pitman, Jim 6 2006 Exchangeable Gibbs partitions and Stirling triangles. Zbl 1293.60010Gnedin, A.; Pitman, Jim 55 2005 Regenerative composition structures. Zbl 1070.60034Gnedin, Alexander; Pitman, Jim 44 2005 Regenerative partition structures. Zbl 1078.60009Gnedin, Alexander; Pitman, Jim 12 2005 Self-similar and Markov composition structures. Zbl 1105.60011Gnedin, A.; Pitman, Jim 5 2005 Weak convergence of random p-mappings and the exploration process of inhomogeneous continuum random trees. Zbl 1078.60006Aldous, David; Miermont, Grégory; Pitman, Jim 4 2005 Growth of the Brownian forest. Zbl 1092.60033Pitman, Jim; Winkel, Matthias 4 2005 The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin’s local time identity. Zbl 1056.60011Aldous, David; Miermont, Grégory; Pitman, Jim 17 2004 Brownian bridge asymptotics for random \(p\)-mappings. Zbl 1064.60012Aldous, David; Miermont, Grégory; Pitman, Jim 10 2004 Some properties of the arc-sine law related to its invariance under a family of rational maps. Zbl 1268.37071Pitman, Jim; Yor, Marc 2 2004 Infinitely divisible laws associated with hyperbolic functions. Zbl 1039.11054Pitman, Jim; Yor, Marc 41 2003 Hitting, occupation and inverse local times of one-dimensional diffusions: Martingale and excursion approaches. Zbl 1024.60032Pitman, Jim; Yor, Marc 27 2003 Path transformations of first passage bridges. Zbl 1061.60083Bertoin, Jean; Chaumont, Loïc; Pitman, Jim 18 2003 A polytope related to empirical distributions, plane trees, parking functions, and the associahedron. Zbl 1012.52019Stanley, Richard P.; Pitman, Jim 74 2002 Self-similar processes with independent increments associated with Lévy and Bessel processes. Zbl 1059.60052Jeanblanc, M.; Pitman, Jim; Yor, Marc 20 2002 Poisson-Dirichlet and GEM invariant distributions for split-and-merge transformations of an interval partition. Zbl 1011.60051Pitman, Jim 19 2002 Forest volume decompositions and Abel-Cayley-Hurwitz multinomial expansions. Zbl 0999.05006Pitman, Jim 15 2002 Invariance principles for non-uniform random mappings and trees. Zbl 1027.60003Aldous, David; Pitman, Jim 3 2002 The asymptotic distribution of the diameter of a random mapping. Zbl 1002.60075Aldous, David; Pitman, Jim 1 2002 Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions. Zbl 1040.11061Biane, Philippe; Pitman, Jim; Yor, Marc 85 2001 Random mappings, forests, and subsets associated with Abel-Cayley-Hurwitz multinomial expansions. Zbl 0990.05071Pitman, Jim 13 2001 On the distribution of ranked heights of excursions of a Brownian bridge. Zbl 1033.60050Pitman, Jim; Yor, Marc 9 2001 Where did the Brownian particle go? Zbl 0977.60071Pemantle, Robin; Peres, Yuval; Pitman, Jim; Yor, Marc 2 2001 Asymptotics of the Hurwitz binomial distribution related to mixed Poisson Galton-Watson trees. Zbl 0979.60077Bennies, Jürgen; Pitman, Jim 1 2001 Limit distributions and random trees derived from the birthday problem with unequal probabilities. Zbl 0953.60030Camarri, Michael; Pitman, Jim 19 2000 Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent. Zbl 0969.60015Aldous, David; Pitman, Jim 17 2000 Prediction rules for exchangeable sequences related to species sampling. Zbl 0944.62109Hansen, Ben; Pitman, Jim 15 2000 Algebraic evaluations of some Euler integrals, duplication formulae for Appell’s hypergeometric function \(F_1\) and Brownian variations. Zbl 0961.33012Ismail, Mourad E. H.; Pitman, Jim 10 2000 Two coalescents derived from the ranges of stable subordinators. Zbl 0949.60034Bertoin, Jean; Pitman, Jim 9 2000 Coalescents with multiple collisions. Zbl 0963.60079Pitman, Jim 170 1999 Kac’s moment formula and the Feynman-Kac formula for additive functionals of a Markov process. Zbl 0962.60067Fitzsimmons, P. J.; Pitman, Jim 35 1999 Coalescent random forests. Zbl 0918.05042Pitman, Jim 35 1999 Brownian motion, bridge excursion, and meander characterized by sampling at independent uniform times. Zbl 0935.60068Pitman, Jim 22 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 0954.60060Pitman, Jim 19 1999 The distribution of local times of a Brownian bridge. Zbl 0945.60081Pitman, Jim 16 1999 The law of the maximum of a Bessel bridge. Zbl 0943.60084Pitman, Jim; Yor, Marc 13 1999 Laplace transforms related to excursions of a one-dimensional diffusion. Zbl 0921.60015Pitman, Jim; Yor, Marc 12 1999 A family of random trees with random edge lengths. Zbl 0934.05117Aldous, David; Pitman, Jim 8 1999 On the laws of homogeneous functionals of the Brownian bridge. Zbl 0980.60099Carmona, P.; Petit, F.; Pitman, Jim; Yor, Marc 7 1999 Constructions of a Brownian path with a given minimum. Zbl 1021.60060Bertoin, Jean; Pitman, Jim; Ruiz de Chavez, Juan 6 1999 Path decompositions of a Brownian bridge related to the ratio of its maximum and amplitude. Zbl 0973.60082Pitman, Jim; Yor, Marc 5 1999 The standard additive coalescent. Zbl 0936.60064Aldous, David; Pitman, Jim 50 1998 Tree-valued Markov chains derived from Galton-Watson processes. Zbl 0917.60082Aldous, David; Pitman, Jim 44 1998 Construction of Markovian coalescents. Zbl 0906.60058Evans, Steven N.; Pitman, Jim 29 1998 Enumerations of trees and forests related to branching processes and random walks. Zbl 0908.05027Pitman, Jim 16 1998 Random Brownian scaling identities and splicing of Bessel processes. Zbl 0937.60079Pitman, Jim; Yor, Marc 4 1998 Stationary Markov processes related to stable Ornstein-Uhlenbeck processes and the additive coalescent. Zbl 0934.60046Evans, Steven N.; Pitman, Jim 4 1998 Fonctionnelles ordonnées des excursions browniennes. (Ranked functionals of Brownian excursions.) Zbl 0924.60073Pitman, Jim; Yor, Marc 2 1998 The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Zbl 0880.60076Pitman, Jim; Yor, Marc 244 1997 ...and 58 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,383 Authors 59 Pitman, Jim William 55 Yor, Marc 31 Favaro, Stefano 26 Möhle, Martin 25 Bertoin, Jean 25 Prünster, Igor 24 Iksanov, Aleksander M. 23 Gnedin, Alexander V. 21 Huillet, Thierry E. 21 Lijoi, Antonio 20 Diaconis, Persi Warren 20 Winkel, Matthias 18 Delmas, Jean-François 17 Fulman, Jason E. 17 Le Gall, Jean-François 17 Pal, Soumik 16 O’Connell, Neil 15 Haas, Bénédicte 15 James, Lancelot F. 15 Vallois, Pierre 14 Peres, Yuval 13 Abraham, Romain 13 Janson, Svante 13 Lau, John Wei 13 Miermont, Grégory 13 Müller, Peter 13 Rizzolo, Douglas 13 Uribe Bravo, Gerónimo 12 Berestycki, Nathanaël 12 Feng, Shui 12 Patie, Pierre 12 Yano, Kouji 11 Addario-Berry, Louigi 11 Aldous, David John 11 Duquesne, Thomas 11 Evans, Steven Neil 11 Lambert, Amaury 11 Leisen, Fabrizio 11 Madan, Dilip B. 11 Marynych, Alexander V. 11 Quintana, Fernando Andrés 11 Schweinsberg, Jason Ross 11 Siri-Jegousse, Arno 11 Zhou, Xiaowen 10 Crane, Harry 10 Forman, Noah Mills 10 Roynette, Bernard 10 Wang, Yizao 10 Winter, Anita 9 Banerjee, Sayan 9 Karatzas, Ioannis 9 Kersting, Götz-Dietrich 9 Li, Zenghu 9 Roberts, Gareth O. 9 Rosen, Jay S. 9 Salminen, Paavo H. 9 Scherer, Matthias 9 Shi, Zhan 9 Tang, Wenpin 9 Teh, Yee Whye 8 Baudoin, Fabrice 8 Berestycki, Julien 8 Bhamidi, Shankar 8 Camerlenghi, Federico 8 Casanova, Adrián González 8 Durrett, Richard Timothy 8 Griffiths, Robert C. 8 He, Hui 8 Ichiba, Tomoyuki 8 Kendall, Wilfrid S. 8 Kumar, Chanchal 8 Limic, Vlada 8 Linetsky, Vadim 8 Mai, Jan-Frederik 8 Mallein, Bastien 8 Marckert, Jean-François 8 Shkolnikov, Mykhaylo 8 Trippa, Lorenzo 8 Yan, Catherine Huafei 8 Zeitouni, Ofer 7 Bassetti, Federico 7 Blath, Jochen 7 Croydon, David A. 7 Curien, Nicolas 7 Devroye, Luc P. J. A. 7 Eisenbaum, Nathalie 7 Freund, Fabian 7 Greven, Andreas 7 Kovchegov, Yevgeniy V. 7 Mena, Ramsés H. 7 Miclo, Laurent 7 Mijatović, Aleksandar 7 Nipoti, Bernardo 7 Rodríguez, Abel 7 Ross, Nathan 7 Sarantsev, Andrey 7 Schertzer, Emmanuel 7 Walker, Stephen Grahm 7 Wang, King-Hang 6 Avena, Luca ...and 2,283 more Authors all top 5 Cited in 331 Serials 153 Stochastic Processes and their Applications 125 The Annals of Probability 105 The Annals of Applied Probability 94 Probability Theory and Related Fields 76 Journal of Applied Probability 64 Bernoulli 63 Statistics & Probability Letters 61 Electronic Journal of Probability 60 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 58 Journal of Theoretical Probability 53 Advances in Applied Probability 38 Journal of Statistical Physics 34 Random Structures & Algorithms 34 ALEA. Latin American Journal of Probability and Mathematical Statistics 27 Journal of Combinatorial Theory. 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