Edit Profile (opens in new tab) Bertoin, Jean Co-Author Distance Author ID: bertoin.jean Published as: Bertoin, Jean; Bertoin, J. External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Documents Indexed: 183 Publications since 1986, including 5 Books and 6 Additional arXiv Preprints 4 Contributions as Editor Reviewing Activity: 97 Reviews Co-Authors: 57 Co-Authors with 81 Joint Publications 1,858 Co-Co-Authors all top 5 Co-Authors 106 single-authored 13 Yor, Marc 8 Doney, Ronald Arthur 6 Baur, Erich 6 Le Gall, Jean-François 5 Mallein, Bastien 4 Kortchemski, Igor 4 Miermont, Grégory 4 Pitman, Jim William 3 Caballero, María Emilia 3 Curien, Nicolas 3 Watson, Alexander R. 3 Werner, Wendelin 2 Berestycki, Julien 2 Chaumont, Loïc 2 Haas, Bénédicte 2 Jacod, Jean 2 Le Jan, Yves 2 Maller, Ross Arthur 2 Martinez Aguilera, Servet 2 Rouault, Alain 2 Roynette, Bernard 2 Shi, Zhan 2 Sidoravicius, Vladas 1 Barczy, Mátyás 1 Barndorff-Nielsen, Ole Eiler 1 Barral, Julien 1 Biane, Philippe 1 Bretagnolle, Jean L. 1 Budd, Timothy G. 1 Cortines, Aser 1 Dufresne, Daniel 1 Fan, Ai Hua 1 Fontbona, Joaquin 1 Fujita, Takahiko 1 Giraud, Christophe 1 Gnedin, Alexander V. 1 Goldschmidt, Christina 1 Ibragimov, Il’dar Abdullovich 1 Isozaki, Yasuki 1 Jaffard, Stéphane 1 Jeanblanc, Monique 1 Klüppelberg, Claudia 1 Lindner, Alexander M. 1 Marsalle, Laurence 1 Martinelli, Fabio 1 Norris, James R. 1 Peres, Yuval 1 Peyrière, Jacques 1 Ruiz de Chavez, Juan 1 Savov, Mladen Svetoslavov 1 Stephenson, Robin 1 Steutel, Fred Willem 1 Uribe Bravo, Gerónimo 1 van Harn, Klaas 1 Vares, Maria Eulalia 1 Wagner, Wolfgang 1 Yang, Hairuo all top 5 Serials 15 Probability Theory and Related Fields 14 The Annals of Probability 11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Journal of Applied Probability 8 Stochastic Processes and their Applications 8 Electronic Communications in Probability 7 Electronic Journal of Probability 6 The Annals of Applied Probability 5 Advances in Applied Probability 5 Communications in Mathematical Physics 4 Random Structures & Algorithms 3 Journal of Statistical Physics 3 Bulletin of the London Mathematical Society 3 Statistics & Probability Letters 3 Journal of Theoretical Probability 3 Bulletin des Sciences Mathématiques 2 Stochastics 2 Journal of Functional Analysis 2 Japan Journal of Applied Mathematics 2 Forum Mathematicum 2 Stochastics and Stochastics Reports 2 Potential Analysis 2 Bernoulli 2 Journal of the European Mathematical Society (JEMS) 2 Cambridge Tracts in Mathematics 2 Lecture Notes in Mathematics 2 Annales Henri Lebesgue 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Canadian Journal of Mathematics 1 Gazette des Mathématiciens 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematics of Kyoto University 1 Transactions of the American Mathematical Society 1 Probability and Mathematical Statistics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Combinatorics, Probability and Computing 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Markov Processes and Related Fields 1 Oberwolfach Reports 1 Cambridge Studies in Advanced Mathematics 1 Panoramas et Synthèses 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Probability Surveys all top 5 Fields 182 Probability theory and stochastic processes (60-XX) 12 Combinatorics (05-XX) 10 Partial differential equations (35-XX) 9 Biology and other natural sciences (92-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Statistics (62-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 159 Publications have been cited 3,751 times in 2,461 Documents Cited by ▼ Year ▼ Lévy processes. Zbl 0861.60003 Bertoin, Jean 1,270 1996 Random fragmentation and coagulation processes. Zbl 1107.60002 Bertoin, Jean 211 2006 Subordinators: Examples and applications. Zbl 0955.60046 Bertoin, Jean 137 1999 Lévy processes. Zbl 0938.60005 Bertoin, Jean 92 1998 Exponential functionals of Lévy processes. Zbl 1189.60096 Bertoin, Jean; Yor, Marc 91 2005 On conditioning a random walk to stay nonnegative. Zbl 0834.60079 Bertoin, J.; Doney, R. A. 71 1994 Exponential decay and ergodicity of completely asymmetric Lévy processes in a finite interval. Zbl 0880.60077 Bertoin, Jean 71 1997 Self-similar fragmentations. Zbl 1002.60072 Bertoin, Jean 65 2002 Stochastic flows associated to coalescent processes. Zbl 1023.92018 Bertoin, Jean; Le Gall, Jean-François 63 2003 Cramér’s estimate for Lévy processes. Zbl 0809.60085 Bertoin, J.; Doney, R. A. 56 1994 Stochastic flows associated to coalescent processes. III: Limit theorems. Zbl 1110.60026 Bertoin, Jean; Le Gall, Jean-Francois 55 2006 The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes. Zbl 0963.60086 Bertoin, Jean; Le Gall, Jean-François 46 2000 Some asymptotic results for transient random walks. Zbl 0854.60069 Bertoin, J.; Doney, R. A. 45 1996 The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1004.60046 Bertoin, Jean; Yor, Marc 45 2002 Homogeneous fragmentation processes. Zbl 0992.60076 Bertoin, Jean 44 2001 On subordinators, self-similar Markov processes and some factorizations of the exponential variable. Zbl 1024.60030 Bertoin, Jean; Yor, Marc 41 2001 Splitting at the infimum and excursions in half-lines for random walks and Lévy processes. Zbl 0786.60101 Bertoin, Jean 41 1993 The asymptotic behavior of fragmentation processes. Zbl 1042.60042 Bertoin, Jean 39 2003 On the entire moments of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1031.60038 Bertoin, Jean; Yor, Marc 38 2002 The inviscid Burgers equation with Brownian initial velocity. Zbl 0917.60063 Bertoin, Jean 30 1998 On the first exit time of a completely asymmetric stable process from a finite interval. Zbl 0863.60068 Bertoin, Jean 30 1996 Martingales in self-similar growth-fragmentations and their connections with random planar maps. Zbl 1451.60047 Bertoin, Jean; Budd, Timothy; Curien, Nicolas; Kortchemski, Igor 28 2018 On continuity properties of the law of integrals of Lévy processes. Zbl 1180.60042 Bertoin, Jean; Lindner, Alexander; Maller, Ross 27 2008 Entrance from \(0+\) for increasing semi-stable Markov processes. Zbl 1002.60032 Bertoin, Jean; Caballero, Maria-Emilia 27 2002 Path transformations connecting Brownian bridge, excursion and meander. Zbl 0805.60076 Bertoin, Jean; Pitman, Jim 26 1994 Markovian growth-fragmentation processes. Zbl 1375.60129 Bertoin, Jean 26 2017 Random planar maps and growth-fragmentations. Zbl 1447.60058 Bertoin, Jean; Curien, Nicolas; Kortchemski, Igor 25 2018 Passage of Lévy processes across power law boundaries at small times. Zbl 1140.60025 Bertoin, J.; Doney, R. A.; Maller, R. A. 23 2008 Discretization methods for homogeneous fragmentations. Zbl 1077.60053 Bertoin, Jean; Rouault, Alain 23 2005 Les processus de Dirichlet en tant qu’espace de Banach. (Dirichlet processes as Banach spaces). Zbl 0602.60069 Bertoin, Jean 23 1986 Asymptotic laws for nonconservative self-similar fragmentations. Zbl 1064.60075 Bertoin, Jean; Gnedin, Alexander V. 23 2004 Stochastic flows associated to coalescent processes. II: Stochastic differential equations. Zbl 1119.60024 Bertoin, Jean; Le Gall, Jean-François 23 2005 Renewal theory and level passage by subordinators. Zbl 0965.60053 Bertoin, J.; van Harn, K.; Steutel, F. W. 22 1999 A probabilistic approach to spectral analysis of growth-fragmentation equations. Zbl 1384.35132 Bertoin, Jean; Watson, Alexander R. 22 2018 Spitzer’s condition for random walks and Lévy processes. Zbl 0880.60078 Bertoin, J.; Doney, R. A. 22 1997 On prolific individuals in a supercritical continuous-state branching process. Zbl 1154.60066 Bertoin, Jean; Fontbona, Joaquin; Martínez, Servet 22 2008 An extension of Pitman’s theorem for spectrally positive Lévy processes. Zbl 0760.60068 Bertoin, Jean 21 1992 Some applications of duality for Lévy processes in a half-line. Zbl 1213.60090 Bertoin, Jean; Savov, Mladen 20 2011 Fires on trees. Zbl 1263.60083 Bertoin, Jean 20 2012 Path transformations of first passage bridges. Zbl 1061.60083 Bertoin, Jean; Chaumont, Loïc; Pitman, Jim 19 2003 A fragmentation process connected to Brownian motion. Zbl 0965.60072 Bertoin, Jean 18 2000 The cut-tree of large Galton-Watson trees and the Brownian CRT. Zbl 1279.60035 Bertoin, Jean; Miermont, Grégory 18 2013 Sur une intégrale pour les processus à \(\alpha\)-variation bornée. (On an integral for processes with bounded \(\alpha\)-variation). Zbl 0687.60054 Bertoin, Jean 17 1989 Regularity of the half-line for Lévy processes. Zbl 0883.60069 Bertoin, Jean 17 1997 The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations. Zbl 1180.92063 Bertoin, Jean 16 2009 Poissonian exponential functionals, \(q\)-series, \(q\)-integrals, and the moment problem for log-normal distributions. Zbl 1056.60046 Bertoin, Jean; Biane, Philippe; Yor, Marc 16 2004 Self-similar scaling limits of Markov chains on the positive integers. Zbl 1352.60103 Bertoin, Jean; Kortchemski, Igor 16 2016 Iterated Brownian motion and stable \((1/4)\) subordinator. Zbl 0854.60082 Bertoin, Jean 15 1996 Eternal solutions to Smoluchowski’s coagulation equation with additive kernel and their probabilistic interpretations. Zbl 1030.60036 Bertoin, Jean 15 2002 On a particular class of self-decomposable random variables: the durations of Bessel excursions straddling independent exponential times. Zbl 1123.60063 Bertoin, J.; Fujita, T.; Roynette, B.; Yor, M. 14 2006 Sur la décomposition de la trajectoire d’un processus de Lévy spectralement positif en son infimum. (On the path decomposition at the infimum for a spectrally positive Lévy process). Zbl 0758.60073 Bertoin, Jean 14 1991 The fragmentation process of an infinite recursive tree and Ornstein-Uhlenbeck type processes. Zbl 1333.60186 Baur, Erich; Bertoin, Jean 13 2015 Representation of measures by balayage from a regular recurrent point. Zbl 0749.60038 Bertoin, J.; Le Jan, Yves 13 1992 On a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviors. Zbl 1433.35414 Bertoin, Jean 13 2019 Probabilistic aspects of critical growth-fragmentation equations. Zbl 1426.35213 Bertoin, Jean; Watson, Alexander R. 13 2016 Stable windings. Zbl 0867.60045 Bertoin, Jean; Werner, Wendelin 12 1996 Fragmentation energy. Zbl 1080.60080 Bertoin, Jean; Martínez, Servet 11 2005 Sizes of the largest clusters for supercritical percolation on random recursive trees. Zbl 1280.05117 Bertoin, Jean 11 2014 Reflecting a Langevin process at an absorbing boundary. Zbl 1132.60057 Bertoin, Jean 10 2007 The convex minorant of the Cauchy process. Zbl 0954.60042 Bertoin, Jean 10 2000 On the maximal offspring in a critical branching process with infinite variance. Zbl 1223.60020 Bertoin, Jean 10 2011 Spatial branching processes and subordination. Zbl 0921.60078 Bertoin, Jean; Le Gall, Jean-François; Le Jan, Yves 10 1997 Compensated fragmentation processes and limits of dilated fragmentations. Zbl 1344.60033 Bertoin, Jean 10 2016 The strong Malthusian behavior of growth-fragmentation processes. (Comportement Malthusien fort des processus de croissance-fragmentation.) Zbl 1451.35229 Bertoin, Jean; Watson, Alexander R. 10 2020 Infinitely ramified point measures and branching Lévy processes. Zbl 1456.60225 Bertoin, Jean; Mallein, Bastien 10 2019 Two coalescents derived from the ranges of stable subordinators. Zbl 0949.60034 Bertoin, Jean; Pitman, Jim 9 2000 Clustering statistics for sticky particles with Brownian initial velocity. Zbl 0959.60074 Bertoin, Jean 9 2000 The structure of typical clusters in large sparse random configurations. Zbl 1168.82028 Bertoin, Jean; Sidoravicius, Vladas 9 2009 Temps locaux et intégration stochastique pour les processus de Dirichlet. (Local time and stochastic integration for Dirichlet processes). Zbl 0616.60073 Bertoin, Jean 9 1987 Complements on the Hilbert transform and the fractional derivative of Brownian local times. Zbl 0725.60084 Bertoin, Jean 9 1990 Regenerative embedding of Markov sets. Zbl 0895.60011 Bertoin, Jean 9 1997 Asymptotic windings of planar Brownian motion revisited via the Ornstein- Uhlenbeck process. Zbl 0814.60080 Bertoin, Jean; Werner, Wendelin 9 1994 Eternal additive coalescents and certain bridges with exchangeable increments. Zbl 1019.60072 Bertoin, Jean 9 2001 A limit theorem for trees of alleles in branching processes with rare neutral mutations. Zbl 1193.60099 Bertoin, Jean 8 2010 On small masses in self-similar fragmentations. Zbl 1075.60092 Bertoin, Jean 8 2004 Supercritical percolation on large scale-free random trees. Zbl 1309.60094 Bertoin, Jean; Bravo, Gerónimo Uribe 8 2015 The cut-tree of large recursive trees. Zbl 1351.60010 Bertoin, Jean 8 2015 Noise reinforcement for Lévy processes. Zbl 1477.60069 Bertoin, Jean 8 2020 Biggins’ martingale convergence for branching Lévy processes. Zbl 1402.60051 Bertoin, Jean; Mallein, Bastien 8 2018 Excursions of a \(BES_ o(d)\) and its drift term \((0<d<1)\). Zbl 0665.60073 Bertoin, J. 7 1990 Sur la mesure d’occupation d’une classe de fonctions self-affines. (On the occupation measure of a class of self-affine functions). Zbl 0685.26007 Bertoin, Jean 7 1988 Dual random fragmentation and coagulation and an application to the genealogy of Yule processes. Zbl 1064.60177 Bertoin, Jean; Goldschmidt, Christina 7 2004 Local explosion in self-similar growth-fragmentation processes. Zbl 1346.60038 Bertoin, Jean; Stephenson, Robin 7 2016 Almost giant clusters for percolation on large trees with logarithmic heights. Zbl 1283.60119 Bertoin, Jean 7 2013 Counting the zeros of an elephant random walk. Zbl 1496.60086 Bertoin, Jean 7 2022 Universality of noise reinforced Brownian motions. Zbl 1469.60253 Bertoin, Jean 7 2021 Large-deviations estimates in Burgers turbulence with stable noise initial data. Zbl 0927.60039 Bertoin, Jean 6 1998 Constructions of a Brownian path with a given minimum. Zbl 1021.60060 Bertoin, Jean; Pitman, Jim; Ruiz de Chavez, Juan 6 1999 On the local behaviour of ladder height distributions. Zbl 0815.60065 Bertoin, J.; Doney, R. A. 6 1994 Two-parameter Poisson-Dirichlet measures and reversible exchangeable fragmentation-coalescence processes. Zbl 1165.60032 Bertoin, Jean 6 2008 Applications de la théorie spectral des cordes vibrantes aux fonctionnelles additives principales d’un brownien réfléchi. (Applications of the spectral theory of vibrating strings to principal additive functionals of a reflected Brownian motion). Zbl 0694.60070 Bertoin, Jean 6 1989 Asymptotic regimes for the occupancy scheme of multiplicative cascades. Zbl 1148.60013 Bertoin, Jean 6 2008 Homogeneous multitype fragmentations. Zbl 1153.60046 Bertoin, Jean 6 2008 Some two-dimensional extensions of Bougerol’s identity in law for the exponential functional of linear Brownian motion. Zbl 1303.60073 Bertoin, Jean; Dufresne, Daniel; Yor, Marc 6 2013 Scaling exponents of step-reinforced random walks. Zbl 1483.60065 Bertoin, Jean 6 2021 Darling-Erdős theorems for normalized sums of i. i. d. variables close to a stable law. Zbl 0943.60041 Bertoin, Jean 5 1998 Structure of shocks in Burgers turbulence with stable noise initial data. Zbl 0943.60055 Bertoin, Jean 5 1999 Some properties of Burgers turbulence with white or stable noise initial data. Zbl 0984.60078 Bertoin, Jean 5 2001 Intersection of independent regenerative sets. Zbl 0937.60043 Bertoin, Jean 5 1999 Decomposition of Brownian motion with derivation in a local minimum by the juxtaposition of its positive and negative excursions. (Décomposition du mouvement brownien avec dérive en un minimum local par juxtaposition de ses excursions positives et négatives.) Zbl 0741.60077 Bertoin, Jean 5 1991 Counting the zeros of an elephant random walk. Zbl 1496.60086 Bertoin, Jean 7 2022 On the local times of noise reinforced Bessel processes. (Sur les temps locaux des processus de Bessel avec bruit renforcé.) Zbl 1517.60099 Bertoin, Jean 1 2022 Universality of noise reinforced Brownian motions. Zbl 1469.60253 Bertoin, Jean 7 2021 Scaling exponents of step-reinforced random walks. Zbl 1483.60065 Bertoin, Jean 6 2021 On conditioning a self-similar growth-fragmentation by its intrinsic area. Zbl 1484.60045 Bertoin, Jean; Curien, Nicolas; Kortchemski, Igor 3 2021 The strong Malthusian behavior of growth-fragmentation processes. (Comportement Malthusien fort des processus de croissance-fragmentation.) Zbl 1451.35229 Bertoin, Jean; Watson, Alexander R. 10 2020 Noise reinforcement for Lévy processes. Zbl 1477.60069 Bertoin, Jean 8 2020 How linear reinforcement affects Donsker’s theorem for empirical processes. Zbl 1478.60108 Bertoin, Jean 2 2020 On a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviors. Zbl 1433.35414 Bertoin, Jean 13 2019 Infinitely ramified point measures and branching Lévy processes. Zbl 1456.60225 Bertoin, Jean; Mallein, Bastien 10 2019 A version of Herbert A. Simon’s model with slowly fading memory and its connections to branching processes. Zbl 1481.60184 Bertoin, Jean 2 2019 Ergodic aspects of some Ornstein-Uhlenbeck type processes related to Lévy processes. Zbl 1488.60077 Bertoin, Jean 1 2019 Martingales in self-similar growth-fragmentations and their connections with random planar maps. Zbl 1451.60047 Bertoin, Jean; Budd, Timothy; Curien, Nicolas; Kortchemski, Igor 28 2018 Random planar maps and growth-fragmentations. Zbl 1447.60058 Bertoin, Jean; Curien, Nicolas; Kortchemski, Igor 25 2018 A probabilistic approach to spectral analysis of growth-fragmentation equations. Zbl 1384.35132 Bertoin, Jean; Watson, Alexander R. 22 2018 Biggins’ martingale convergence for branching Lévy processes. Zbl 1402.60051 Bertoin, Jean; Mallein, Bastien 8 2018 Branching-stable point measures and processes. Zbl 1458.60095 Bertoin, Jean; Cortines, Aser; Mallein, Bastien 3 2018 Markovian growth-fragmentation processes. Zbl 1375.60129 Bertoin, Jean 26 2017 Weak limits for the largest subpopulations in Yule processes with high mutation probabilities. Zbl 1425.60066 Baur, Erich; Bertoin, Jean 3 2017 Self-similar scaling limits of Markov chains on the positive integers. Zbl 1352.60103 Bertoin, Jean; Kortchemski, Igor 16 2016 Probabilistic aspects of critical growth-fragmentation equations. Zbl 1426.35213 Bertoin, Jean; Watson, Alexander R. 13 2016 Compensated fragmentation processes and limits of dilated fragmentations. Zbl 1344.60033 Bertoin, Jean 10 2016 Local explosion in self-similar growth-fragmentation processes. Zbl 1346.60038 Bertoin, Jean; Stephenson, Robin 7 2016 On the destruction of large random recursive trees. (Sur la destruction de grands arbres alétoires récursifs.) Zbl 1358.05253 Baur, E.; Bertoin, J. 1 2016 The fragmentation process of an infinite recursive tree and Ornstein-Uhlenbeck type processes. Zbl 1333.60186 Baur, Erich; Bertoin, Jean 13 2015 Supercritical percolation on large scale-free random trees. Zbl 1309.60094 Bertoin, Jean; Bravo, Gerónimo Uribe 8 2015 The cut-tree of large recursive trees. Zbl 1351.60010 Bertoin, Jean 8 2015 Sizes of the largest clusters for supercritical percolation on random recursive trees. Zbl 1280.05117 Bertoin, Jean 11 2014 On the non-Gaussian fluctuations of the giant cluster for percolation on random recursive trees. Zbl 1292.60095 Bertoin, Jean 5 2014 Cutting edges at random in large recursive trees. Zbl 1390.60043 Baur, Erich; Bertoin, Jean 2 2014 Local times for functions with finite variation: two versions of Stieltjes change-of-variables formula. Zbl 1295.26011 Bertoin, Jean; Yor, Marc 2 2014 The cut-tree of large Galton-Watson trees and the Brownian CRT. Zbl 1279.60035 Bertoin, Jean; Miermont, Grégory 18 2013 Almost giant clusters for percolation on large trees with logarithmic heights. Zbl 1283.60119 Bertoin, Jean 7 2013 Some two-dimensional extensions of Bougerol’s identity in law for the exponential functional of linear Brownian motion. Zbl 1303.60073 Bertoin, Jean; Dufresne, Daniel; Yor, Marc 6 2013 On largest offspring in a critical branching process with finite variance. Zbl 1277.60045 Bertoin, Jean 5 2013 Pure jump increasing processes and the change of variables formula. Zbl 1306.60120 Bertoin, Jean; Yor, Marc 2 2013 Retrieving information from subordination. Zbl 1284.60084 Bertoin, Jean; Yor, Marc 2 2013 Fires on trees. Zbl 1263.60083 Bertoin, Jean 20 2012 Lévy processes at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 307 (1973), 1117 (1985), 1717 (1999) and 1897 (2007). Zbl 1254.60004 Bertoin, Jean; Bretagnolle, Jean L.; Doney, Ronald A.; Ibragimov, Ildar A.; Jacod, Jean 2 2012 The area of a self-similar fragmentation. Zbl 1277.60070 Bertoin, Jean 1 2012 Some applications of duality for Lévy processes in a half-line. Zbl 1213.60090 Bertoin, Jean; Savov, Mladen 20 2011 On the maximal offspring in a critical branching process with infinite variance. Zbl 1223.60020 Bertoin, Jean 10 2011 Functional limit theorems for Lévy processes satisfying Cramér’s condition. Zbl 1244.60049 Barczy, Matyas; Bertoin, Jean 3 2011 A limit theorem for trees of alleles in branching processes with rare neutral mutations. Zbl 1193.60099 Bertoin, Jean 8 2010 Some interactions between analysis, probability theory and fractals. To Benoît Mandelbrot, in memoriam. (Quelques interactions entre analyse, probabilités et fractals. A Benoît Mandelbrot, in memoriam.) Zbl 1308.28002 Barral, Julien; Berestycki, Julien; Bertoin, Jean; Fan, Aihua; Haas, Bénédicte; Jaffard, Stéphane; Miermont, Grégory; Peyrière, Jacques 4 2010 A system of grabbing particles related to Galton-Watson trees. Zbl 1209.60048 Bertoin, Jean; Sidoravicius, Vladas; Vares, Maria Eulalia 3 2010 Asymptotic regimes for the partition into colonies of a branching process with emigration. Zbl 1215.60049 Bertoin, Jean 3 2010 A two-time-scale phenomenon in a fragmentation-coagulation process. Zbl 1226.60028 Bertoin, Jean 1 2010 Some fractal aspects of random fragmentations. (Quelques aspects fractals des fragmentations aléatoires.) Zbl 1238.60091 Berestycki, Julien; Bertoin, Jean; Haas, Bénédicte; Miermont, Grégory 1 2010 The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations. Zbl 1180.92063 Bertoin, Jean 16 2009 The structure of typical clusters in large sparse random configurations. Zbl 1168.82028 Bertoin, Jean; Sidoravicius, Vladas 9 2009 Two solvable systems of coagulation equations with limited aggregations. Zbl 1179.82180 Bertoin, Jean 2 2009 On continuity properties of the law of integrals of Lévy processes. Zbl 1180.60042 Bertoin, Jean; Lindner, Alexander; Maller, Ross 27 2008 Passage of Lévy processes across power law boundaries at small times. Zbl 1140.60025 Bertoin, J.; Doney, R. A.; Maller, R. A. 23 2008 On prolific individuals in a supercritical continuous-state branching process. Zbl 1154.60066 Bertoin, Jean; Fontbona, Joaquin; Martínez, Servet 22 2008 Two-parameter Poisson-Dirichlet measures and reversible exchangeable fragmentation-coalescence processes. Zbl 1165.60032 Bertoin, Jean 6 2008 Asymptotic regimes for the occupancy scheme of multiplicative cascades. Zbl 1148.60013 Bertoin, Jean 6 2008 Homogeneous multitype fragmentations. Zbl 1153.60046 Bertoin, Jean 6 2008 A second order SDE for the Langevin process reflected at a completely inelastic boundary. Zbl 1169.60009 Bertoin, Jean 5 2008 Reflecting a Langevin process at an absorbing boundary. Zbl 1132.60057 Bertoin, Jean 10 2007 Random fragmentation and coagulation processes. Zbl 1107.60002 Bertoin, Jean 211 2006 Stochastic flows associated to coalescent processes. III: Limit theorems. Zbl 1110.60026 Bertoin, Jean; Le Gall, Jean-Francois 55 2006 On a particular class of self-decomposable random variables: the durations of Bessel excursions straddling independent exponential times. Zbl 1123.60063 Bertoin, J.; Fujita, T.; Roynette, B.; Yor, M. 14 2006 Asymptotics in Knuth’s parking problem for caravans. Zbl 1102.60006 Bertoin, Jean; Miermont, Grégory 3 2006 Different aspects of a random fragmentation model. Zbl 1102.60070 Bertoin, Jean 2 2006 Different aspects of a model for random fragmentation processes. Zbl 1137.60045 Bertoin, J. 1 2006 Exponential functionals of Lévy processes. Zbl 1189.60096 Bertoin, Jean; Yor, Marc 91 2005 Discretization methods for homogeneous fragmentations. Zbl 1077.60053 Bertoin, Jean; Rouault, Alain 23 2005 Stochastic flows associated to coalescent processes. II: Stochastic differential equations. Zbl 1119.60024 Bertoin, Jean; Le Gall, Jean-François 23 2005 Fragmentation energy. Zbl 1080.60080 Bertoin, Jean; Martínez, Servet 11 2005 Asymptotic laws for nonconservative self-similar fragmentations. Zbl 1064.60075 Bertoin, Jean; Gnedin, Alexander V. 23 2004 Poissonian exponential functionals, \(q\)-series, \(q\)-integrals, and the moment problem for log-normal distributions. Zbl 1056.60046 Bertoin, Jean; Biane, Philippe; Yor, Marc 16 2004 On small masses in self-similar fragmentations. Zbl 1075.60092 Bertoin, Jean 8 2004 Dual random fragmentation and coagulation and an application to the genealogy of Yule processes. Zbl 1064.60177 Bertoin, Jean; Goldschmidt, Christina 7 2004 Random covering of an interval and a variation of Kingman’s coalescent. Zbl 1063.60009 Bertoin, Jean 2 2004 Stochastic flows associated to coalescent processes. Zbl 1023.92018 Bertoin, Jean; Le Gall, Jean-François 63 2003 The asymptotic behavior of fragmentation processes. Zbl 1042.60042 Bertoin, Jean 39 2003 Path transformations of first passage bridges. Zbl 1061.60083 Bertoin, Jean; Chaumont, Loïc; Pitman, Jim 19 2003 Self-similar fragmentations. Zbl 1002.60072 Bertoin, Jean 65 2002 The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1004.60046 Bertoin, Jean; Yor, Marc 45 2002 On the entire moments of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1031.60038 Bertoin, Jean; Yor, Marc 38 2002 Entrance from \(0+\) for increasing semi-stable Markov processes. Zbl 1002.60032 Bertoin, Jean; Caballero, Maria-Emilia 27 2002 Eternal solutions to Smoluchowski’s coagulation equation with additive kernel and their probabilistic interpretations. Zbl 1030.60036 Bertoin, Jean 15 2002 Some aspects of additive coalescents. Zbl 1007.60101 Bertoin, Jean 5 2002 Self-attracting Poisson clouds in an expanding universe. Zbl 1016.83043 Bertoin, Jean 3 2002 Homogeneous fragmentation processes. Zbl 0992.60076 Bertoin, Jean 44 2001 On subordinators, self-similar Markov processes and some factorizations of the exponential variable. Zbl 1024.60030 Bertoin, Jean; Yor, Marc 41 2001 Eternal additive coalescents and certain bridges with exchangeable increments. Zbl 1019.60072 Bertoin, Jean 9 2001 Some properties of Burgers turbulence with white or stable noise initial data. Zbl 0984.60078 Bertoin, Jean 5 2001 Statistics of a flux in Burgers turbulence with one-sided Brownian initial data. Zbl 0993.60067 Bertoin, J.; Giraud, C.; Isozaki, Y. 2 2001 Some elements on Lévy processes. Zbl 0982.60042 Bertoin, Jean 1 2001 The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes. Zbl 0963.60086 Bertoin, Jean; Le Gall, Jean-François 46 2000 A fragmentation process connected to Brownian motion. Zbl 0965.60072 Bertoin, Jean 18 2000 The convex minorant of the Cauchy process. Zbl 0954.60042 Bertoin, Jean 10 2000 Two coalescents derived from the ranges of stable subordinators. Zbl 0949.60034 Bertoin, Jean; Pitman, Jim 9 2000 Clustering statistics for sticky particles with Brownian initial velocity. Zbl 0959.60074 Bertoin, Jean 9 2000 Subordinators: Examples and applications. Zbl 0955.60046 Bertoin, Jean 137 1999 Renewal theory and level passage by subordinators. Zbl 0965.60053 Bertoin, J.; van Harn, K.; Steutel, F. W. 22 1999 Constructions of a Brownian path with a given minimum. Zbl 1021.60060 Bertoin, Jean; Pitman, Jim; Ruiz de Chavez, Juan 6 1999 Structure of shocks in Burgers turbulence with stable noise initial data. Zbl 0943.60055 Bertoin, Jean 5 1999 ...and 59 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,274 Authors 63 Bertoin, Jean 63 Kyprianou, Andreas E. 33 Zhou, Xiaowen 30 Maller, Ross Arthur 29 Palmowski, Zbigniew 26 Patie, Pierre 26 Pitman, Jim William 25 Pardo, Juan Carlos 25 Yor, Marc 24 Chaumont, Loïc 24 Curien, Nicolas 24 Lambert, Amaury 23 Iksanov, Aleksander M. 22 Khoshnevisan, Davar 21 Song, Renming 21 Winkel, Matthias 19 Rivero, Víctor Manuel 18 Doney, Ronald Arthur 18 Simon, Thomas 17 Haas, Bénédicte 17 Pistorius, Martijn R. 17 Uribe Bravo, Gerónimo 17 Vondraček, Zoran 16 Ivanovs, Jevgeņijs 16 Mandjes, Michel Robertus Hendrikus 16 Mijatović, Aleksandar 16 Möhle, Martin 16 Xiao, Yimin 15 Avram, Florin 15 Chen, Zhen-Qing 15 Delmas, Jean-François 15 Li, Zenghu 15 Meerschaert, Mark Marvin 15 Savov, Mladen Svetoslavov 15 Shi, Zhan 14 Berestycki, Julien 14 Leonenko, Nikolai N. 14 Yamazaki, Kazutoshi 14 Zwart, Bert P. 13 Kuznetsov, Alexey 13 Nane, Erkan 13 Russo, Francesco 13 Wang, Yuebao 12 Crane, Harry 12 Gnedin, Alexander V. 12 Kim, Panki 12 Vallois, Pierre 11 Döring, Leif 11 Foucart, Clément 11 Griffin, Philip S. 11 Huillet, Thierry E. 11 Mallein, Bastien 11 Pérez Garmendia, Jose Luis 11 Wang, Wenyuan 10 Abraham, Romain 10 Bansaye, Vincent 10 Eliazar, Iddo I. 10 Grzywny, Tomasz 10 Kella, Offer 10 Le Gall, Jean-François 10 Lindner, Alexander M. 10 Schertzer, Emmanuel 9 Aurzada, Frank 9 Berestycki, Nathanaël 9 Buchmann, Boris 9 D’Ovidio, Mirko 9 Duan, Jinqiao 9 Duquesne, Thomas 9 Forman, Noah Mills 9 Kumar, Arun 9 Marynych, Alexander V. 9 Peng, Shaolong 9 Schilling, René Leander 9 Toaldo, Bruno 9 Watson, Alexander R. 9 Yano, Kouji 8 Baurdoux, Erik Jan 8 Behme, Anita Diana 8 Boxma, Onno Johan 8 Evans, Steven Neil 8 Laurençot, Philippe 8 Loeffen, Ronnie L. 8 Mai, Jan-Frederik 8 Miermont, Grégory 8 Profeta, Christophe 8 Salminen, Paavo H. 8 Schweinsberg, Jason Ross 8 Vazquez, Juan Luis 8 Vidmar, Matija 8 Yin, Chuancun 7 Aidekon, Elie E. F. 7 Bogdan, Krzysztof 7 Broutin, Nicolas 7 Caballero, María Emilia 7 Czarna, Irmina 7 Dai, Wei 7 Denisov, Denis E. 7 Dereich, Steffen 7 Escobedo Martínez, Miguel 7 He, Hui ...and 2,174 more Authors all top 5 Cited in 324 Serials 262 Stochastic Processes and their Applications 151 The Annals of Probability 106 The Annals of Applied Probability 95 Journal of Applied Probability 91 Probability Theory and Related Fields 88 Journal of Theoretical Probability 87 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 79 Statistics & Probability Letters 77 Electronic Journal of Probability 70 Advances in Applied Probability 57 Bernoulli 52 Journal of Statistical Physics 37 Potential Analysis 35 Transactions of the American Mathematical Society 33 Insurance Mathematics & Economics 31 Journal of Mathematical Analysis and Applications 28 ALEA. 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Série VI 4 Statistical Inference for Stochastic Processes 4 Journal of Industrial and Management Optimization 4 Complex Variables and Elliptic Equations 4 Journal of Theoretical Biology 4 Journal of Elliptic and Parabolic Equations 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Computers & Mathematics with Applications 3 Discrete Mathematics 3 Israel Journal of Mathematics ...and 224 more Serials all top 5 Cited in 54 Fields 2,081 Probability theory and stochastic processes (60-XX) 334 Partial differential equations (35-XX) 284 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 164 Statistics (62-XX) 143 Statistical mechanics, structure of matter (82-XX) 135 Biology and other natural sciences (92-XX) 129 Combinatorics (05-XX) 102 Operator theory (47-XX) 80 Numerical analysis (65-XX) 68 Real functions (26-XX) 56 Integral equations (45-XX) 55 Measure and integration (28-XX) 51 Operations research, mathematical programming (90-XX) 43 Systems theory; control (93-XX) 39 Dynamical systems and ergodic theory (37-XX) 37 Ordinary differential equations (34-XX) 33 Potential theory (31-XX) 29 Functional analysis (46-XX) 24 Computer science (68-XX) 23 Special functions (33-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 22 Fluid mechanics (76-XX) 20 Quantum theory (81-XX) 19 Integral transforms, operational calculus (44-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 14 Number theory (11-XX) 13 Functions of a complex variable (30-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Mechanics of particles and systems (70-XX) 7 General topology (54-XX) 6 Approximations and expansions (41-XX) 6 Differential geometry (53-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Difference and functional equations (39-XX) 5 Sequences, series, summability (40-XX) 5 Convex and discrete geometry (52-XX) 5 Relativity and gravitational theory (83-XX) 5 Information and communication theory, circuits (94-XX) 4 History and biography (01-XX) 4 Mathematical logic and foundations (03-XX) 4 Manifolds and cell complexes (57-XX) 3 Group theory and generalizations (20-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of deformable solids (74-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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