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## Bertoin, Jean

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 Author ID: bertoin.jean Published as: Bertoin, J.; Bertoin, Jean External Links: MGP · Wikidata · GND
 Documents Indexed: 172 Publications since 1986, including 8 Books Reviewing Activity: 97 Reviews
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#### Co-Authors

 99 single-authored 12 Yor, Marc 8 Doney, Ronald Arthur 6 Le Gall, Jean-François 4 Baur, Erich 4 Miermont, Grégory 4 Pitman, Jim William 3 Caballero, María Emilia 3 Kortchemski, Igor 3 Mallein, Bastien 3 Watson, Alexander R. 3 Werner, Wendelin 2 Berestycki, Julien 2 Chaumont, Loïc 2 Curien, Nicolas 2 Haas, Bénédicte 2 Jacod, Jean 2 Le Jan, Yves 2 Maller, Ross Arthur 2 Martinez Aguilera, Servet 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 Rouault, Alain 1 Roynette, Bernard 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
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#### Serials

 14 The Annals of Probability 14 Probability Theory and Related Fields 10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Stochastic Processes and their Applications 8 Electronic Communications in Probability 7 Journal of Applied Probability 6 The Annals of Applied Probability 6 Electronic Journal of 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 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 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 1 Annales Henri Lebesgue
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#### Fields

 168 Probability theory and stochastic processes (60-XX) 11 Combinatorics (05-XX) 9 Partial differential equations (35-XX) 8 Biology and other natural sciences (92-XX) 7 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) 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) 2 Statistics (62-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)

#### Citations contained in zbMATH

144 Publications have been cited 2,684 times in 1,733 Documents Cited by Year
Lévy processes. Zbl 0861.60003
Bertoin, Jean
1996
Random fragmentation and coagulation processes. Zbl 1107.60002
Bertoin, Jean
2006
Subordinators: Examples and applications. Zbl 0955.60046
Bertoin, Jean
1999
Exponential functionals of Lévy processes. Zbl 1189.60096
Bertoin, Jean; Yor, Marc
2005
Exponential decay and ergodicity of completely asymmetric Lévy processes in a finite interval. Zbl 0880.60077
Bertoin, Jean
1997
On conditioning a random walk to stay nonnegative. Zbl 0834.60079
Bertoin, J.; Doney, R. A.
1994
Stochastic flows associated to coalescent processes. Zbl 1023.92018
Bertoin, Jean; Le Gall, Jean-François
2003
Self-similar fragmentations. Zbl 1002.60072
Bertoin, Jean
2002
Lévy processes. Zbl 0938.60005
Bertoin, Jean
1998
Cramér’s estimate for Lévy processes. Zbl 0809.60085
Bertoin, J.; Doney, R. A.
1994
Stochastic flows associated to coalescent processes. III: Limit theorems. Zbl 1110.60026
Bertoin, Jean; Le Gall, Jean-Francois
2006
Some asymptotic results for transient random walks. Zbl 0854.60069
Bertoin, J.; Doney, R. A.
1996
Homogeneous fragmentation processes. Zbl 0992.60076
Bertoin, Jean
2001
On subordinators, self-similar Markov processes and some factorizations of the exponential variable. Zbl 1024.60030
Bertoin, Jean; Yor, Marc
2001
The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1004.60046
Bertoin, Jean; Yor, Marc
2002
The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes. Zbl 0963.60086
Bertoin, Jean; Le Gall, Jean-François
2000
The asymptotic behavior of fragmentation processes. Zbl 1042.60042
Bertoin, Jean
2003
On the entire moments of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1031.60038
Bertoin, Jean; Yor, Marc
2002
Splitting at the infimum and excursions in half-lines for random walks and Lévy processes. Zbl 0786.60101
Bertoin, Jean
1993
The inviscid Burgers equation with Brownian initial velocity. Zbl 0917.60063
Bertoin, Jean
1998
On the first exit time of a completely asymmetric stable process from a finite interval. Zbl 0863.60068
Bertoin, Jean
1996
Path transformations connecting Brownian bridge, excursion and meander. Zbl 0805.60076
Bertoin, Jean; Pitman, Jim
1994
Discretization methods for homogeneous fragmentations. Zbl 1077.60053
Bertoin, Jean; Rouault, Alain
2005
Asymptotic laws for nonconservative self-similar fragmentations. Zbl 1064.60075
Bertoin, Jean; Gnedin, Alexander V.
2004
Les processus de Dirichlet en tant qu’espace de Banach. (Dirichlet processes as Banach spaces). Zbl 0602.60069
Bertoin, Jean
1986
On continuity properties of the law of integrals of Lévy processes. Zbl 1180.60042
Bertoin, Jean; Lindner, Alexander; Maller, Ross
2008
Entrance from $$0+$$ for increasing semi-stable Markov processes. Zbl 1002.60032
Bertoin, Jean; Caballero, Maria-Emilia
2002
Renewal theory and level passage by subordinators. Zbl 0965.60053
Bertoin, J.; van Harn, K.; Steutel, F. W.
1999
On prolific individuals in a supercritical continuous-state branching process. Zbl 1154.60066
Bertoin, Jean; Fontbona, Joaquin; Martínez, Servet
2008
Passage of Lévy processes across power law boundaries at small times. Zbl 1140.60025
Bertoin, J.; Doney, R. A.; Maller, R. A.
2008
Stochastic flows associated to coalescent processes. II: Stochastic differential equations. Zbl 1119.60024
Bertoin, Jean; Le Gall, Jean-François
2005
Regularity of the half-line for Lévy processes. Zbl 0883.60069
Bertoin, Jean
1997
Spitzer’s condition for random walks and Lévy processes. Zbl 0880.60078
Bertoin, J.; Doney, R. A.
1997
An extension of Pitman’s theorem for spectrally positive Lévy processes. Zbl 0760.60068
Bertoin, Jean
1992
Some applications of duality for Lévy processes in a half-line. Zbl 1213.60090
2011
A fragmentation process connected to Brownian motion. Zbl 0965.60072
Bertoin, Jean
2000
Martingales in self-similar growth-fragmentations and their connections with random planar maps. Zbl 1451.60047
Bertoin, Jean; Budd, Timothy; Curien, Nicolas; Kortchemski, Igor
2018
Fires on trees. Zbl 1263.60083
Bertoin, Jean
2012
Poissonian exponential functionals, $$q$$-series, $$q$$-integrals, and the moment problem for log-normal distributions. Zbl 1056.60046
Bertoin, Jean; Biane, Philippe; Yor, Marc
2004
Eternal solutions to Smoluchowski’s coagulation equation with additive kernel and their probabilistic interpretations. Zbl 1030.60036
Bertoin, Jean
2002
Iterated Brownian motion and stable $$(1/4)$$ subordinator. Zbl 0854.60082
Bertoin, Jean
1996
Random planar maps and growth-fragmentations. Zbl 1447.60058
Bertoin, Jean; Curien, Nicolas; Kortchemski, Igor
2018
Markovian growth-fragmentation processes. Zbl 1375.60129
Bertoin, Jean
2017
The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations. Zbl 1180.92063
Bertoin, Jean
2009
Representation of measures by balayage from a regular recurrent point. Zbl 0749.60038
Bertoin, J.; Le Jan, Yves
1992
The cut-tree of large Galton-Watson trees and the Brownian CRT. Zbl 1279.60035
Bertoin, Jean; Miermont, Grégory
2013
Path transformations of first passage bridges. Zbl 1061.60083
Bertoin, Jean; Chaumont, Loïc; Pitman, Jim
2003
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
1991
Sur une intégrale pour les processus à $$\alpha$$-variation bornée. (On an integral for processes with bounded $$\alpha$$-variation). Zbl 0687.60054
Bertoin, Jean
1989
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.
2006
Spatial branching processes and subordination. Zbl 0921.60078
Bertoin, Jean; Le Gall, Jean-François; Le Jan, Yves
1997
Stable windings. Zbl 0867.60045
Bertoin, Jean; Werner, Wendelin
1996
A probabilistic approach to spectral analysis of growth-fragmentation equations. Zbl 1384.35132
Bertoin, Jean; Watson, Alexander R.
2018
Self-similar scaling limits of Markov chains on the positive integers. Zbl 1352.60103
Bertoin, Jean; Kortchemski, Igor
2016
Compensated fragmentation processes and limits of dilated fragmentations. Zbl 1344.60033
Bertoin, Jean
2016
The structure of typical clusters in large sparse random configurations. Zbl 1168.82028
2009
Reflecting a Langevin process at an absorbing boundary. Zbl 1132.60057
Bertoin, Jean
2007
Fragmentation energy. Zbl 1080.60080
Bertoin, Jean; Martínez, Servet
2005
Eternal additive coalescents and certain bridges with exchangeable increments. Zbl 1019.60072
Bertoin, Jean
2001
Clustering statistics for sticky particles with Brownian initial velocity. Zbl 0959.60074
Bertoin, Jean
2000
The convex minorant of the Cauchy process. Zbl 0954.60042
Bertoin, Jean
2000
Two coalescents derived from the ranges of stable subordinators. Zbl 0949.60034
Bertoin, Jean; Pitman, Jim
2000
On the maximal offspring in a critical branching process with infinite variance. Zbl 1223.60020
Bertoin, Jean
2011
Complements on the Hilbert transform and the fractional derivative of Brownian local times. Zbl 0725.60084
Bertoin, Jean
1990
Local explosion in self-similar growth-fragmentation processes. Zbl 1346.60038
Bertoin, Jean; Stephenson, Robin
2016
Sizes of the largest clusters for supercritical percolation on random recursive trees. Zbl 1280.05117
Bertoin, Jean
2014
A limit theorem for trees of alleles in branching processes with rare neutral mutations. Zbl 1193.60099
Bertoin, Jean
2010
On small masses in self-similar fragmentations. Zbl 1075.60092
Bertoin, Jean
2004
Dual random fragmentation and coagulation and an application to the genealogy of Yule processes. Zbl 1064.60177
Bertoin, Jean; Goldschmidt, Christina
2004
The fragmentation process of an infinite recursive tree and Ornstein-Uhlenbeck type processes. Zbl 1333.60186
Baur, Erich; Bertoin, Jean
2015
Two-parameter Poisson-Dirichlet measures and reversible exchangeable fragmentation-coalescence processes. Zbl 1165.60032
Bertoin, Jean
2008
Large-deviations estimates in Burgers turbulence with stable noise initial data. Zbl 0927.60039
Bertoin, Jean
1998
Regenerative embedding of Markov sets. Zbl 0895.60011
Bertoin, Jean
1997
Asymptotic windings of planar Brownian motion revisited via the Ornstein- Uhlenbeck process. Zbl 0814.60080
Bertoin, Jean; Werner, Wendelin
1994
Temps locaux et intégration stochastique pour les processus de Dirichlet. (Local time and stochastic integration for Dirichlet processes). Zbl 0616.60073
Bertoin, Jean
1987
Biggins’ martingale convergence for branching Lévy processes. Zbl 1402.60051
Bertoin, Jean; Mallein, Bastien
2018
Probabilistic aspects of critical growth-fragmentation equations. Zbl 1426.35213
Bertoin, Jean; Watson, Alexander R.
2016
The cut-tree of large recursive trees. Zbl 1351.60010
Bertoin, Jean
2015
Supercritical percolation on large scale-free random trees. Zbl 1309.60094
Bertoin, Jean; Bravo, Gerónimo Uribe
2015
On largest offspring in a critical branching process with finite variance. Zbl 1277.60045
Bertoin, Jean
2013
Some aspects of additive coalescents. Zbl 1007.60101
Bertoin, Jean
2002
Lévy processes that can creep downwards never increase. Zbl 0816.60073
Bertoin, Jean
1995
On the local behaviour of ladder height distributions. Zbl 0815.60065
Bertoin, J.; Doney, R. A.
1994
Increase of a Lévy process with no positive jumps. Zbl 0739.60065
Bertoin, Jean
1991
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
1988
On a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviors. Zbl 1433.35414
Bertoin, Jean
2019
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
2013
Almost giant clusters for percolation on large trees with logarithmic heights. Zbl 1283.60119
Bertoin, Jean
2013
Homogeneous multitype fragmentations. Zbl 1153.60046
Bertoin, Jean
2008
A second order SDE for the Langevin process reflected at a completely inelastic boundary. Zbl 1169.60009
Bertoin, Jean
2008
Structure of shocks in Burgers turbulence with stable noise initial data. Zbl 0943.60055
Bertoin, Jean
1999
Constructions of a Brownian path with a given minimum. Zbl 1021.60060
Bertoin, Jean; Pitman, Jim; Ruiz de Chavez, Juan
1999
Intersection of independent regenerative sets. Zbl 0937.60043
Bertoin, Jean
1999
Darling-Erdős theorems for normalized sums of i. i. d. variables close to a stable law. Zbl 0943.60041
Bertoin, Jean
1998
Some independence results related to the arc-sine law. Zbl 0876.60060
Bertoin, Jean; Yor, Marc
1996
On the local rate of growth of Lévy processes with no positive jumps. Zbl 0816.60072
Bertoin, Jean
1995
Asymptotic behavior of the number of windings of the planar Brownian path. Zbl 0810.60077
Bertoin, Jean; Werner, Wendelin
1994
Excursions of a $$BES_ o(d)$$ and its drift term $$(0<d<1)$$. Zbl 0665.60073
Bertoin, J.
1990
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
1989
Infinitely ramified point measures and branching Lévy processes. Zbl 07067278
Bertoin, Jean; Mallein, Bastien
2019
On a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviors. Zbl 1433.35414
Bertoin, Jean
2019
Infinitely ramified point measures and branching Lévy processes. Zbl 07067278
Bertoin, Jean; Mallein, Bastien
2019
A version of Herbert A. Simon’s model with slowly fading memory and its connections to branching processes. Zbl 07107669
Bertoin, Jean
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
2018
Random planar maps and growth-fragmentations. Zbl 1447.60058
Bertoin, Jean; Curien, Nicolas; Kortchemski, Igor
2018
A probabilistic approach to spectral analysis of growth-fragmentation equations. Zbl 1384.35132
Bertoin, Jean; Watson, Alexander R.
2018
Biggins’ martingale convergence for branching Lévy processes. Zbl 1402.60051
Bertoin, Jean; Mallein, Bastien
2018
Markovian growth-fragmentation processes. Zbl 1375.60129
Bertoin, Jean
2017
Weak limits for the largest subpopulations in Yule processes with high mutation probabilities. Zbl 1425.60066
Baur, Erich; Bertoin, Jean
2017
Self-similar scaling limits of Markov chains on the positive integers. Zbl 1352.60103
Bertoin, Jean; Kortchemski, Igor
2016
Compensated fragmentation processes and limits of dilated fragmentations. Zbl 1344.60033
Bertoin, Jean
2016
Local explosion in self-similar growth-fragmentation processes. Zbl 1346.60038
Bertoin, Jean; Stephenson, Robin
2016
Probabilistic aspects of critical growth-fragmentation equations. Zbl 1426.35213
Bertoin, Jean; Watson, Alexander R.
2016
On the destruction of large random recursive trees. Zbl 1358.05253
Baur, E.; Bertoin, J.
2016
The fragmentation process of an infinite recursive tree and Ornstein-Uhlenbeck type processes. Zbl 1333.60186
Baur, Erich; Bertoin, Jean
2015
The cut-tree of large recursive trees. Zbl 1351.60010
Bertoin, Jean
2015
Supercritical percolation on large scale-free random trees. Zbl 1309.60094
Bertoin, Jean; Bravo, Gerónimo Uribe
2015
Sizes of the largest clusters for supercritical percolation on random recursive trees. Zbl 1280.05117
Bertoin, Jean
2014
On the non-Gaussian fluctuations of the giant cluster for percolation on random recursive trees. Zbl 1292.60095
Bertoin, Jean
2014
Cutting edges at random in large recursive trees. Zbl 1390.60043
Baur, Erich; Bertoin, Jean
2014
Local times for functions with finite variation: two versions of Stieltjes change-of-variables formula. Zbl 1295.26011
Bertoin, Jean; Yor, Marc
2014
The cut-tree of large Galton-Watson trees and the Brownian CRT. Zbl 1279.60035
Bertoin, Jean; Miermont, Grégory
2013
On largest offspring in a critical branching process with finite variance. Zbl 1277.60045
Bertoin, Jean
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
2013
Almost giant clusters for percolation on large trees with logarithmic heights. Zbl 1283.60119
Bertoin, Jean
2013
Retrieving information from subordination. Zbl 1284.60084
Bertoin, Jean; Yor, Marc
2013
Pure jump increasing processes and the change of variables formula. Zbl 1306.60120
Bertoin, Jean; Yor, Marc
2013
Fires on trees. Zbl 1263.60083
Bertoin, Jean
2012
The area of a self-similar fragmentation. Zbl 1277.60070
Bertoin, Jean
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
2012
Some applications of duality for Lévy processes in a half-line. Zbl 1213.60090
2011
On the maximal offspring in a critical branching process with infinite variance. Zbl 1223.60020
Bertoin, Jean
2011
Functional limit theorems for Lévy processes satisfying Cramér’s condition. Zbl 1244.60049
Barczy, Matyas; Bertoin, Jean
2011
A limit theorem for trees of alleles in branching processes with rare neutral mutations. Zbl 1193.60099
Bertoin, Jean
2010
A system of grabbing particles related to Galton-Watson trees. Zbl 1209.60048
Bertoin, Jean; Sidoravicius, Vladas; Vares, Maria Eulalia
2010
Asymptotic regimes for the partition into colonies of a branching process with emigration. Zbl 1215.60049
Bertoin, Jean
2010
Some interactions between analysis, probability theory and fractals. To Benoît Mandelbrot, in memoriam. Zbl 1308.28002
Barral, Julien; Berestycki, Julien; Bertoin, Jean; Fan, Aihua; Haas, Bénédicte; Jaffard, Stéphane; Miermont, Grégory; Peyrière, Jacques
2010
A two-time-scale phenomenon in a fragmentation-coagulation process. Zbl 1226.60028
Bertoin, Jean
2010
The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations. Zbl 1180.92063
Bertoin, Jean
2009
The structure of typical clusters in large sparse random configurations. Zbl 1168.82028
2009
Two solvable systems of coagulation equations with limited aggregations. Zbl 1179.82180
Bertoin, Jean
2009
On continuity properties of the law of integrals of Lévy processes. Zbl 1180.60042
Bertoin, Jean; Lindner, Alexander; Maller, Ross
2008
On prolific individuals in a supercritical continuous-state branching process. Zbl 1154.60066
Bertoin, Jean; Fontbona, Joaquin; Martínez, Servet
2008
Passage of Lévy processes across power law boundaries at small times. Zbl 1140.60025
Bertoin, J.; Doney, R. A.; Maller, R. A.
2008
Two-parameter Poisson-Dirichlet measures and reversible exchangeable fragmentation-coalescence processes. Zbl 1165.60032
Bertoin, Jean
2008
Homogeneous multitype fragmentations. Zbl 1153.60046
Bertoin, Jean
2008
A second order SDE for the Langevin process reflected at a completely inelastic boundary. Zbl 1169.60009
Bertoin, Jean
2008
Asymptotic regimes for the occupancy scheme of multiplicative cascades. Zbl 1148.60013
Bertoin, Jean
2008
Reflecting a Langevin process at an absorbing boundary. Zbl 1132.60057
Bertoin, Jean
2007
Random fragmentation and coagulation processes. Zbl 1107.60002
Bertoin, Jean
2006
Stochastic flows associated to coalescent processes. III: Limit theorems. Zbl 1110.60026
Bertoin, Jean; Le Gall, Jean-Francois
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.
2006
Asymptotics in Knuth’s parking problem for caravans. Zbl 1102.60006
Bertoin, Jean; Miermont, Grégory
2006
Different aspects of a model for random fragmentation processes. Zbl 1137.60045
Bertoin, J.
2006
Exponential functionals of Lévy processes. Zbl 1189.60096
Bertoin, Jean; Yor, Marc
2005
Discretization methods for homogeneous fragmentations. Zbl 1077.60053
Bertoin, Jean; Rouault, Alain
2005
Stochastic flows associated to coalescent processes. II: Stochastic differential equations. Zbl 1119.60024
Bertoin, Jean; Le Gall, Jean-François
2005
Fragmentation energy. Zbl 1080.60080
Bertoin, Jean; Martínez, Servet
2005
Asymptotic laws for nonconservative self-similar fragmentations. Zbl 1064.60075
Bertoin, Jean; Gnedin, Alexander V.
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
2004
On small masses in self-similar fragmentations. Zbl 1075.60092
Bertoin, Jean
2004
Dual random fragmentation and coagulation and an application to the genealogy of Yule processes. Zbl 1064.60177
Bertoin, Jean; Goldschmidt, Christina
2004
Random covering of an interval and a variation of Kingman’s coalescent. Zbl 1063.60009
Bertoin, Jean
2004
Stochastic flows associated to coalescent processes. Zbl 1023.92018
Bertoin, Jean; Le Gall, Jean-François
2003
The asymptotic behavior of fragmentation processes. Zbl 1042.60042
Bertoin, Jean
2003
Path transformations of first passage bridges. Zbl 1061.60083
Bertoin, Jean; Chaumont, Loïc; Pitman, Jim
2003
Self-similar fragmentations. Zbl 1002.60072
Bertoin, Jean
2002
The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1004.60046
Bertoin, Jean; Yor, Marc
2002
On the entire moments of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1031.60038
Bertoin, Jean; Yor, Marc
2002
Entrance from $$0+$$ for increasing semi-stable Markov processes. Zbl 1002.60032
Bertoin, Jean; Caballero, Maria-Emilia
2002
Eternal solutions to Smoluchowski’s coagulation equation with additive kernel and their probabilistic interpretations. Zbl 1030.60036
Bertoin, Jean
2002
Some aspects of additive coalescents. Zbl 1007.60101
Bertoin, Jean
2002
Self-attracting Poisson clouds in an expanding universe. Zbl 1016.83043
Bertoin, Jean
2002
Homogeneous fragmentation processes. Zbl 0992.60076
Bertoin, Jean
2001
On subordinators, self-similar Markov processes and some factorizations of the exponential variable. Zbl 1024.60030
Bertoin, Jean; Yor, Marc
2001
Eternal additive coalescents and certain bridges with exchangeable increments. Zbl 1019.60072
Bertoin, Jean
2001
Some properties of Burgers turbulence with white or stable noise initial data. Zbl 0984.60078
Bertoin, Jean
2001
Statistics of a flux in Burgers turbulence with one-sided Brownian initial data. Zbl 0993.60067
Bertoin, J.; Giraud, C.; Isozaki, Y.
2001
The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes. Zbl 0963.60086
Bertoin, Jean; Le Gall, Jean-François
2000
A fragmentation process connected to Brownian motion. Zbl 0965.60072
Bertoin, Jean
2000
Clustering statistics for sticky particles with Brownian initial velocity. Zbl 0959.60074
Bertoin, Jean
2000
The convex minorant of the Cauchy process. Zbl 0954.60042
Bertoin, Jean
2000
Two coalescents derived from the ranges of stable subordinators. Zbl 0949.60034
Bertoin, Jean; Pitman, Jim
2000
Subordinators: Examples and applications. Zbl 0955.60046
Bertoin, Jean
1999
Renewal theory and level passage by subordinators. Zbl 0965.60053
Bertoin, J.; van Harn, K.; Steutel, F. W.
1999
Structure of shocks in Burgers turbulence with stable noise initial data. Zbl 0943.60055
Bertoin, Jean
1999
Constructions of a Brownian path with a given minimum. Zbl 1021.60060
Bertoin, Jean; Pitman, Jim; Ruiz de Chavez, Juan
1999
Intersection of independent regenerative sets. Zbl 0937.60043
Bertoin, Jean
1999
Renewal theory for embedded regenerative sets. Zbl 0961.60082
Bertoin, Jean
1999
Regularity of the Cauchy principal value of the local times of some Lévy processes. Zbl 0922.60073
Bertoin, Jean; Caballero, Maria-Emilia
1999
Lectures on probability theory and statistics. Ecole d’eté de Probabilités de Saint-Flour XXVII–1997, Saint-Flour, France, July 7–23, 1997. Zbl 0930.00052
Bertoin, J. (ed.); Martinelli, F. (ed.); Peres, Y. (ed.)
1999
On overshoots and hitting times for random walks. Zbl 0942.60032
Bertoin, Jean
1999
Lévy processes. Zbl 0938.60005
Bertoin, Jean
1998
The inviscid Burgers equation with Brownian initial velocity. Zbl 0917.60063
Bertoin, Jean
1998
Large-deviations estimates in Burgers turbulence with stable noise initial data. Zbl 0927.60039
Bertoin, Jean
1998
Darling-Erdős theorems for normalized sums of i. i. d. variables close to a stable law. Zbl 0943.60041
Bertoin, Jean
1998
The growth rates of subordinators. Zbl 0924.60062
Bertoin, Jean
1998
Extreme values visited by a Brownian motion with drift. Zbl 0914.60062
Bertoin, Jean; Marsalle, Laurence
1998
Exponential decay and ergodicity of completely asymmetric Lévy processes in a finite interval. Zbl 0880.60077
Bertoin, Jean
1997
Regularity of the half-line for Lévy processes. Zbl 0883.60069
Bertoin, Jean
1997
...and 44 more Documents
all top 5

#### Cited by 1,655 Authors

 56 Bertoin, Jean 54 Kyprianou, Andreas E. 29 Maller, Ross Arthur 26 Palmowski, Zbigniew 23 Pardo, Juan Carlos 23 Pitman, Jim William 23 Yor, Marc 21 Lambert, Amaury 18 Khoshnevisan, Davar 18 Zhou, Xiaowen 17 Chaumont, Loïc 17 Patie, Pierre 17 Pistorius, Martijn R. 17 Song, Renming 17 Winkel, Matthias 16 Mandjes, Michel Robertus Hendrikus 15 Curien, Nicolas 15 Meerschaert, Mark M. 15 Rivero, Víctor Manuel 15 Simon, Thomas 14 Haas, Bénédicte 14 Iksanov, Aleksander M. 14 Vondraček, Zoran 14 Xiao, Yimin 13 Berestycki, Julien 13 Delmas, Jean-François 13 Möhle, Martin 13 Shi, Zhan 12 Chen, Zhen-Qing 12 Doney, Ronald Arthur 12 Gnedin, Alexander V. 12 Kuznetsov, Alexey 12 Li, Zenghu 12 Russo, Francesco 12 Savov, Mladen Svetoslavov 12 Zwart, Bert P. 11 Avram, Florin 11 Ivanovs, Jevgeņijs 11 Nane, Erkan 11 Uribe Bravo, Gerónimo 10 Döring, Leif 10 Griffin, Philip S. 10 Kim, Panki 10 Vallois, Pierre 10 Wang, Yuebao 10 Yamazaki, Kazutoshi 9 Berestycki, Nathanaël 9 Crane, Harry 9 Huillet, Thierry E. 9 Le Gall, Jean-François 9 Pérez Garmendia, Jose Luis 8 Abraham, Romain 8 Aurzada, Frank 8 Buchmann, Boris 8 Kella, Offer 8 Miermont, Grégory 8 Mijatović, Aleksandar 8 Yin, Chuancun 7 Baurdoux, Erik Jan 7 Boxma, Onno Johan 7 Czarna, Irmina 7 Escobedo Martínez, Miguel 7 Klüppelberg, Claudia 7 Leonenko, Nikolai N. 7 Limic, Vlada 7 Lindner, Alexander M. 7 Loeffen, Ronnie L. 7 Magdziarz, Marcin 7 Schilling, René Leander 7 Schweinsberg, Jason Ross 7 Straka, Peter 7 Vazquez, Juan Luis 7 Watson, Alexander R. 6 Bansaye, Vincent 6 Bogdan, Krzysztof 6 Caballero, María Emilia 6 Dereich, Steffen 6 Doumic, Marie 6 Egami, Masahiko 6 Grzywny, Tomasz 6 He, Hui 6 James, Lancelot F. 6 Janson, Svante 6 Kersting, Götz-Dietrich 6 Le Jan, Yves 6 Mai, Jan-Frederik 6 Marynych, Alexander V. 6 Mimica, Ante 6 Mischler, Stéphane 6 Pego, Robert L. 6 Profeta, Christophe 6 Renaud, Jean-François 6 Salminen, Paavo H. 6 Samorodnitsky, Gennady Pinkhosovich 6 Sire, Yannick 6 Toaldo, Bruno 6 Van Schaik, Kees 6 Vatutin, Vladimir Alekseevich 6 Wang, Kaiyong 6 Zabczyk, Jerzy ...and 1,555 more Authors
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#### Cited in 238 Serials

 235 Stochastic Processes and their Applications 137 The Annals of Probability 90 The Annals of Applied Probability 81 Journal of Applied Probability 75 Statistics & Probability Letters 71 Probability Theory and Related Fields 70 Journal of Theoretical Probability 65 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 54 Advances in Applied Probability 49 Bernoulli 39 Journal of Statistical Physics 32 Insurance Mathematics & Economics 32 Electronic Journal of Probability 30 Transactions of the American Mathematical Society 28 Potential Analysis 26 Journal of Mathematical Analysis and Applications 18 Journal of Differential Equations 18 Journal of Functional Analysis 15 Finance and Stochastics 13 Queueing Systems 12 Communications in Mathematical Physics 12 Journal of Computational and Applied Mathematics 12 Stochastics 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Electronic Communications in Probability 10 Bulletin des Sciences Mathématiques 10 ALEA. Latin American Journal of Probability and Mathematical Statistics 9 Acta Applicandae Mathematicae 9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 9 Scandinavian Actuarial Journal 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Applied Mathematics and Computation 8 Random Structures & Algorithms 8 Methodology and Computing in Applied Probability 7 Chaos, Solitons and Fractals 7 Probability Surveys 6 Physica A 6 Journal of Statistical Planning and Inference 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Abstract and Applied Analysis 6 Science China. Mathematics 5 Advances in Mathematics 5 Journal of Econometrics 5 Osaka Journal of Mathematics 5 Proceedings of the American Mathematical Society 5 Combinatorics, Probability and Computing 5 SIAM Journal on Financial Mathematics 4 Journal of Mathematical Physics 4 Theory of Probability and its Applications 4 Journal of Multivariate Analysis 4 Stochastic Analysis and Applications 4 Physica D 4 European Journal of Operational Research 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Theory of Probability and Mathematical Statistics 4 Fractional Calculus & Applied Analysis 4 Discrete and Continuous Dynamical Systems. Series B 4 Stochastics and Dynamics 4 Frontiers of Mathematics in China 3 Archive for Rational Mechanics and Analysis 3 Israel Journal of Mathematics 3 Rocky Mountain Journal of Mathematics 3 Annals of the Institute of Statistical Mathematics 3 Journal of Mathematical Psychology 3 Mathematische Zeitschrift 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Theoretical Population Biology 3 Japan Journal of Applied Mathematics 3 Revista Matemática Iberoamericana 3 Mathematical and Computer Modelling 3 SIAM Journal on Mathematical Analysis 3 Mathematical Methods of Operations Research 3 International Journal of Theoretical and Applied Finance 3 Extremes 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 3 Stochastic Models 3 Kinetic and Related Models 3 Journal of Theoretical Biology 3 Journal de l’École Polytechnique – Mathématiques 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Computers & Mathematics with Applications 2 Communications on Pure and Applied Mathematics 2 Discrete Mathematics 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Biology 2 Lithuanian Mathematical Journal 2 Metrika 2 The Annals of Statistics 2 Applied Mathematics and Optimization 2 Illinois Journal of Mathematics 2 Journal of Combinatorial Theory. Series A 2 Journal of Mathematical Economics 2 Journal of Optimization Theory and Applications 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Quarterly of Applied Mathematics 2 Tokyo Journal of Mathematics 2 Operations Research Letters ...and 138 more Serials
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#### Cited in 51 Fields

 1,526 Probability theory and stochastic processes (60-XX) 214 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 161 Partial differential equations (35-XX) 112 Statistics (62-XX) 109 Statistical mechanics, structure of matter (82-XX) 100 Biology and other natural sciences (92-XX) 88 Combinatorics (05-XX) 62 Operator theory (47-XX) 60 Numerical analysis (65-XX) 44 Real functions (26-XX) 40 Operations research, mathematical programming (90-XX) 38 Measure and integration (28-XX) 37 Integral equations (45-XX) 34 Systems theory; control (93-XX) 28 Potential theory (31-XX) 24 Ordinary differential equations (34-XX) 20 Dynamical systems and ergodic theory (37-XX) 16 Special functions (33-XX) 15 Fluid mechanics (76-XX) 14 Integral transforms, operational calculus (44-XX) 14 Functional analysis (46-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Computer science (68-XX) 13 Number theory (11-XX) 10 Functions of a complex variable (30-XX) 10 Mechanics of particles and systems (70-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Quantum theory (81-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 4 Convex and discrete geometry (52-XX) 4 General topology (54-XX) 4 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 3 Sequences, series, summability (40-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)

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