## Bertoin, Jean

Compute Distance To:
 Author ID: bertoin.jean Published as: Bertoin, Jean; Bertoin, J. External Links: MGP · Wikidata · GND
 Documents Indexed: 171 Publications since 1986, including 5 Books 4 Contributions as Editor Reviewing Activity: 97 Reviews Co-Authors: 56 Co-Authors with 74 Joint Publications 1,700 Co-Co-Authors
all top 5

### Co-Authors

 101 single-authored 12 Yor, Marc 8 Doney, Ronald Arthur 6 Le Gall, Jean-François 4 Baur, Erich 4 Kortchemski, Igor 4 Miermont, Grégory 4 Pitman, Jim William 3 Caballero, María Emilia 3 Curien, Nicolas 3 Mallein, Bastien 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 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
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 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
all top 5

### Fields

 171 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) 3 Statistics (62-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)

### Citations contained in zbMATH Open

151 Publications have been cited 2,919 times in 1,891 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
Self-similar fragmentations. Zbl 1002.60072
Bertoin, Jean
2002
Stochastic flows associated to coalescent processes. Zbl 1023.92018
Bertoin, Jean; Le Gall, Jean-François
2003
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
The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes. Zbl 0963.60086
Bertoin, Jean; Le Gall, Jean-François
2000
On subordinators, self-similar Markov processes and some factorizations of the exponential variable. Zbl 1024.60030
Bertoin, Jean; Yor, Marc
2001
Homogeneous fragmentation processes. Zbl 0992.60076
Bertoin, Jean
2001
The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1004.60046
Bertoin, Jean; Yor, Marc
2002
The asymptotic behavior of fragmentation processes. Zbl 1042.60042
Bertoin, Jean
2003
Splitting at the infimum and excursions in half-lines for random walks and Lévy processes. Zbl 0786.60101
Bertoin, Jean
1993
On the entire moments of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1031.60038
Bertoin, Jean; Yor, Marc
2002
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
On continuity properties of the law of integrals of Lévy processes. Zbl 1180.60042
Bertoin, Jean; Lindner, Alexander; Maller, Ross
2008
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
Discretization methods for homogeneous fragmentations. Zbl 1077.60053
Bertoin, Jean; Rouault, Alain
2005
Entrance from $$0+$$ for increasing semi-stable Markov processes. Zbl 1002.60032
Bertoin, Jean; Caballero, Maria-Emilia
2002
On prolific individuals in a supercritical continuous-state branching process. Zbl 1154.60066
Bertoin, Jean; Fontbona, Joaquin; Martínez, Servet
2008
Spitzer’s condition for random walks and Lévy processes. Zbl 0880.60078
Bertoin, J.; Doney, R. A.
1997
Renewal theory and level passage by subordinators. Zbl 0965.60053
Bertoin, J.; van Harn, K.; Steutel, F. W.
1999
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
Markovian growth-fragmentation processes. Zbl 1375.60129
Bertoin, Jean
2017
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
Some applications of duality for Lévy processes in a half-line. Zbl 1213.60090
2011
Random planar maps and growth-fragmentations. Zbl 1447.60058
Bertoin, Jean; Curien, Nicolas; Kortchemski, Igor
2018
An extension of Pitman’s theorem for spectrally positive Lévy processes. Zbl 0760.60068
Bertoin, Jean
1992
Path transformations of first passage bridges. Zbl 1061.60083
Bertoin, Jean; Chaumont, Loïc; Pitman, Jim
2003
A probabilistic approach to spectral analysis of growth-fragmentation equations. Zbl 1384.35132
Bertoin, Jean; Watson, Alexander R.
2018
Fires on trees. Zbl 1263.60083
Bertoin, Jean
2012
Regularity of the half-line for Lévy processes. Zbl 0883.60069
Bertoin, Jean
1997
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
A fragmentation process connected to Brownian motion. Zbl 0965.60072
Bertoin, Jean
2000
Iterated Brownian motion and stable $$(1/4)$$ subordinator. Zbl 0854.60082
Bertoin, Jean
1996
Eternal solutions to Smoluchowski’s coagulation equation with additive kernel and their probabilistic interpretations. Zbl 1030.60036
Bertoin, Jean
2002
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
The cut-tree of large Galton-Watson trees and the Brownian CRT. Zbl 1279.60035
Bertoin, Jean; Miermont, Grégory
2013
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
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
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
Self-similar scaling limits of Markov chains on the positive integers. Zbl 1352.60103
Bertoin, Jean; Kortchemski, Igor
2016
Fragmentation energy. Zbl 1080.60080
Bertoin, Jean; Martínez, Servet
2005
Stable windings. Zbl 0867.60045
Bertoin, Jean; Werner, Wendelin
1996
Spatial branching processes and subordination. Zbl 0921.60078
Bertoin, Jean; Le Gall, Jean-François; Le Jan, Yves
1997
The convex minorant of the Cauchy process. Zbl 0954.60042
Bertoin, Jean
2000
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
Clustering statistics for sticky particles with Brownian initial velocity. Zbl 0959.60074
Bertoin, Jean
2000
Two coalescents derived from the ranges of stable subordinators. Zbl 0949.60034
Bertoin, Jean; Pitman, Jim
2000
Eternal additive coalescents and certain bridges with exchangeable increments. Zbl 1019.60072
Bertoin, Jean
2001
On a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviors. Zbl 1433.35414
Bertoin, Jean
2019
Sizes of the largest clusters for supercritical percolation on random recursive trees. Zbl 1280.05117
Bertoin, Jean
2014
On the maximal offspring in a critical branching process with infinite variance. Zbl 1223.60020
Bertoin, Jean
2011
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
Regenerative embedding of Markov sets. Zbl 0895.60011
Bertoin, Jean
1997
Complements on the Hilbert transform and the fractional derivative of Brownian local times. Zbl 0725.60084
Bertoin, Jean
1990
The fragmentation process of an infinite recursive tree and Ornstein-Uhlenbeck type processes. Zbl 1333.60186
Baur, Erich; Bertoin, Jean
2015
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
Excursions of a $$BES_ o(d)$$ and its drift term $$(0<d<1)$$. Zbl 0665.60073
Bertoin, J.
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
1988
Almost giant clusters for percolation on large trees with logarithmic heights. Zbl 1283.60119
Bertoin, Jean
2013
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
Asymptotic windings of planar Brownian motion revisited via the Ornstein- Uhlenbeck process. Zbl 0814.60080
Bertoin, Jean; Werner, Wendelin
1994
Large-deviations estimates in Burgers turbulence with stable noise initial data. Zbl 0927.60039
Bertoin, Jean
1998
Supercritical percolation on large scale-free random trees. Zbl 1309.60094
Bertoin, Jean; Bravo, Gerónimo Uribe
2015
Infinitely ramified point measures and branching Lévy processes. Zbl 1456.60225
Bertoin, Jean; Mallein, Bastien
2019
Temps locaux et intégration stochastique pour les processus de Dirichlet. (Local time and stochastic integration for Dirichlet processes). Zbl 0616.60073
Bertoin, Jean
1987
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
On largest offspring in a critical branching process with finite variance. Zbl 1277.60045
Bertoin, Jean
2013
Asymptotic regimes for the occupancy scheme of multiplicative cascades. Zbl 1148.60013
Bertoin, Jean
2008
Increase of a Lévy process with no positive jumps. Zbl 0739.60065
Bertoin, Jean
1991
Some aspects of additive coalescents. Zbl 1007.60101
Bertoin, Jean
2002
On the local behaviour of ladder height distributions. Zbl 0815.60065
Bertoin, J.; Doney, R. A.
1994
Constructions of a Brownian path with a given minimum. Zbl 1021.60060
Bertoin, Jean; Pitman, Jim; Ruiz de Chavez, Juan
1999
Darling-Erdős theorems for normalized sums of i. i. d. variables close to a stable law. Zbl 0943.60041
Bertoin, Jean
1998
Structure of shocks in Burgers turbulence with stable noise initial data. Zbl 0943.60055
Bertoin, Jean
1999
The cut-tree of large recursive trees. Zbl 1351.60010
Bertoin, Jean
2015
Biggins’ martingale convergence for branching Lévy processes. Zbl 1402.60051
Bertoin, Jean; Mallein, Bastien
2018
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
A second order SDE for the Langevin process reflected at a completely inelastic boundary. Zbl 1169.60009
Bertoin, Jean
2008
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
1991
Increase of stable processes. Zbl 0809.60050
Bertoin, Jean
1994
Asymptotic behavior of the number of windings of the planar Brownian path. (Comportement asymptotique du nombre de tours effectués par la trajectoire brownienne plane.) Zbl 0810.60077
Bertoin, Jean; Werner, Wendelin
1994
On the local rate of growth of Lévy processes with no positive jumps. Zbl 0816.60072
Bertoin, Jean
1995
Universality of noise reinforced Brownian motions. Zbl 1469.60253
Bertoin, Jean
2021
Scaling exponents of step-reinforced random walks. Zbl 1483.60065
Bertoin, Jean
2021
On conditioning a self-similar growth-fragmentation by its intrinsic area. Zbl 1484.60045
Bertoin, Jean; Curien, Nicolas; Kortchemski, Igor
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.
2020
Noise reinforcement for Lévy processes. Zbl 1477.60069
Bertoin, Jean
2020
How linear reinforcement affects Donsker’s theorem for empirical processes. Zbl 1478.60108
Bertoin, Jean
2020
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 1456.60225
Bertoin, Jean; Mallein, Bastien
2019
A version of Herbert A. Simon’s model with slowly fading memory and its connections to branching processes. Zbl 1481.60184
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. (Sur la destruction de grands arbres alétoires récursifs.) 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
Supercritical percolation on large scale-free random trees. Zbl 1309.60094
Bertoin, Jean; Bravo, Gerónimo Uribe
2015
The cut-tree of large recursive trees. Zbl 1351.60010
Bertoin, Jean
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
Local times for functions with finite variation: two versions of Stieltjes change-of-variables formula. Zbl 1295.26011
Bertoin, Jean; Yor, Marc
2014
Cutting edges at random in large recursive trees. Zbl 1390.60043
Baur, Erich; Bertoin, Jean
2014
The cut-tree of large Galton-Watson trees and the Brownian CRT. Zbl 1279.60035
Bertoin, Jean; Miermont, Grégory
2013
Almost giant clusters for percolation on large trees with logarithmic heights. Zbl 1283.60119
Bertoin, Jean
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
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. (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
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
Asymptotic regimes for the occupancy scheme of multiplicative cascades. Zbl 1148.60013
Bertoin, Jean
2008
A second order SDE for the Langevin process reflected at a completely inelastic boundary. Zbl 1169.60009
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
On subordinators, self-similar Markov processes and some factorizations of the exponential variable. Zbl 1024.60030
Bertoin, Jean; Yor, Marc
2001
Homogeneous fragmentation processes. Zbl 0992.60076
Bertoin, Jean
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
Some elements on Lévy processes. Zbl 0982.60042
Bertoin, Jean
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
The convex minorant of the Cauchy process. Zbl 0954.60042
Bertoin, Jean
2000
Clustering statistics for sticky particles with Brownian initial velocity. Zbl 0959.60074
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
Constructions of a Brownian path with a given minimum. Zbl 1021.60060
Bertoin, Jean; Pitman, Jim; Ruiz de Chavez, Juan
1999
Structure of shocks in Burgers turbulence with stable noise initial data. Zbl 0943.60055
Bertoin, Jean
1999
Intersection of independent regenerative sets. Zbl 0937.60043
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
Renewal theory for embedded regenerative sets. Zbl 0961.60082
Bertoin, Jean
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
1999
On overshoots and hitting times for random walks. Zbl 0942.60032
Bertoin, Jean
1999
Lévy processes. Zbl 0938.60005
Bertoin, Jean
1998
...and 51 more Documents
all top 5

### Cited by 1,756 Authors

 58 Bertoin, Jean 54 Kyprianou, Andreas E. 29 Maller, Ross Arthur 27 Palmowski, Zbigniew 27 Zhou, Xiaowen 25 Pitman, Jim William 24 Pardo, Juan Carlos 23 Yor, Marc 22 Lambert, Amaury 20 Patie, Pierre 19 Iksanov, Aleksander M. 19 Winkel, Matthias 18 Chaumont, Loïc 18 Curien, Nicolas 17 Rivero, Víctor Manuel 17 Simon, Thomas 16 Khoshnevisan, Davar 16 Pistorius, Martijn R. 16 Song, Renming 15 Delmas, Jean-François 15 Haas, Bénédicte 15 Mandjes, Michel Robertus Hendrikus 15 Meerschaert, Mark Marvin 15 Vondraček, Zoran 14 Berestycki, Julien 14 Li, Zenghu 14 Möhle, Martin 14 Savov, Mladen Svetoslavov 13 Xiao, Yimin 12 Avram, Florin 12 Chen, Zhen-Qing 12 Doney, Ronald Arthur 12 Gnedin, Alexander V. 12 Ivanovs, Jevgeņijs 12 Kuznetsov, Alexey 12 Leonenko, Nikolai N. 12 Russo, Francesco 12 Shi, Zhan 12 Wang, Yuebao 12 Zwart, Bert P. 11 Griffin, Philip S. 11 Nane, Erkan 11 Uribe Bravo, Gerónimo 11 Vallois, Pierre 10 Abraham, Romain 10 Döring, Leif 10 Kim, Panki 9 Berestycki, Nathanaël 9 Crane, Harry 9 Foucart, Clément 9 Huillet, Thierry E. 9 Le Gall, Jean-François 9 Lindner, Alexander M. 9 Mallein, Bastien 9 Pérez Garmendia, Jose Luis 8 Buchmann, Boris 8 D’Ovidio, Mirko 8 Kella, Offer 8 Salminen, Paavo H. 8 Toaldo, Bruno 8 Yin, Chuancun 7 Aurzada, Frank 7 Bansaye, Vincent 7 Behme, Anita Diana 7 Czarna, Irmina 7 Escobedo Martínez, Miguel 7 Forman, Noah Mills 7 Grzywny, Tomasz 7 He, Hui 7 James, Lancelot F. 7 Klüppelberg, Claudia 7 Limic, Vlada 7 Loeffen, Ronnie L. 7 Magdziarz, Marcin 7 Miermont, Grégory 7 Mijatović, Aleksandar 7 Schilling, René Leander 7 Schweinsberg, Jason Ross 7 Straka, Peter 7 Van Schaik, Kees 7 Watson, Alexander R. 7 Yamazaki, Kazutoshi 6 Baurdoux, Erik Jan 6 Boxma, Onno Johan 6 Broutin, Nicolas 6 Caballero, María Emilia 6 Doumic, Marie 6 Hu, Ze-Chun 6 Janson, Svante 6 Kersting, Götz-Dietrich 6 Kortchemski, Igor 6 Kumar, Amit N. 6 Laurençot, Philippe 6 Le Jan, Yves 6 Mai, Jan-Frederik 6 Marynych, Alexander V. 6 Mimica, Ante 6 Mischler, Stéphane 6 Pego, Robert L. 6 Pirozzi, Enrica ...and 1,656 more Authors
all top 5

### Cited in 270 Serials

 208 Stochastic Processes and their Applications 143 The Annals of Probability 94 The Annals of Applied Probability 87 Journal of Applied Probability 80 Probability Theory and Related Fields 75 Journal of Theoretical Probability 73 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 65 Statistics & Probability Letters 60 Advances in Applied Probability 51 Bernoulli 48 Electronic Journal of Probability 43 Journal of Statistical Physics 33 Transactions of the American Mathematical Society 30 Potential Analysis 28 Journal of Mathematical Analysis and Applications 25 Insurance Mathematics & Economics 19 Stochastics 18 Journal of Differential Equations 17 Finance and Stochastics 15 Journal of Functional Analysis 15 Queueing Systems 15 Electronic Communications in Probability 14 ALEA. Latin American Journal of Probability and Mathematical Statistics 13 Communications in Mathematical Physics 11 Acta Applicandae Mathematicae 11 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 11 Scandinavian Actuarial Journal 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Bulletin des Sciences Mathématiques 9 Physica A 9 Applied Mathematics and Computation 9 Theory of Probability and Mathematical Statistics 9 Methodology and Computing in Applied Probability 8 Journal of Computational and Applied Mathematics 8 Stochastic Analysis and Applications 8 Random Structures & Algorithms 7 Chaos, Solitons and Fractals 7 Advances in Mathematics 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Proceedings of the American Mathematical Society 7 SIAM Journal on Mathematical Analysis 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 North American Actuarial Journal 7 Probability Surveys 7 Science China. Mathematics 6 Journal of Econometrics 6 Physica D 6 Combinatorics, Probability and Computing 6 Fractional Calculus & Applied Analysis 5 Journal of Mathematical Biology 5 Mathematische Zeitschrift 5 Osaka Journal of Mathematics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Extremes 5 Acta Mathematica Sinica. English Series 5 Stochastic Models 5 Stochastics and Dynamics 5 Frontiers of Mathematics in China 4 Lithuanian Mathematical Journal 4 Theory of Probability and its Applications 4 Applied Mathematics and Optimization 4 Journal of Mathematical Psychology 4 Journal of Statistical Planning and Inference 4 European Journal of Operational Research 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 International Journal of Theoretical and Applied Finance 4 Statistical Inference for Stochastic Processes 4 Journal of Evolution Equations 4 Discrete and Continuous Dynamical Systems. Series B 4 Boundary Value Problems 4 Kinetic and Related Models 4 Modern Stochastics. Theory and Applications 4 Annales Henri Lebesgue 3 Archive for Rational Mechanics and Analysis 3 Israel Journal of Mathematics 3 Journal of Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 Annals of the Institute of Statistical Mathematics 3 The Annals of Statistics 3 Journal of Optimization Theory and Applications 3 Memoirs of the American Mathematical Society 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Japan Journal of Applied Mathematics 3 Revista Matemática Iberoamericana 3 Mathematical and Computer Modelling 3 Communications in Statistics. Theory and Methods 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Mathematical Methods of Operations Research 3 Journal of the European Mathematical Society (JEMS) 3 SIAM Journal on Financial Mathematics 3 Journal of Theoretical Biology 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 Journal de l’École Polytechnique – Mathématiques 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 AIMS Mathematics 2 Applicable Analysis 2 Communications on Pure and Applied Mathematics 2 Discrete Mathematics 2 Journal d’Analyse Mathématique 2 Metrika ...and 170 more Serials
all top 5

### Cited in 52 Fields

 1,653 Probability theory and stochastic processes (60-XX) 217 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 204 Partial differential equations (35-XX) 124 Statistical mechanics, structure of matter (82-XX) 121 Statistics (62-XX) 115 Biology and other natural sciences (92-XX) 101 Combinatorics (05-XX) 73 Operator theory (47-XX) 61 Numerical analysis (65-XX) 50 Real functions (26-XX) 47 Integral equations (45-XX) 41 Measure and integration (28-XX) 40 Operations research, mathematical programming (90-XX) 31 Systems theory; control (93-XX) 30 Potential theory (31-XX) 28 Ordinary differential equations (34-XX) 23 Dynamical systems and ergodic theory (37-XX) 21 Functional analysis (46-XX) 19 Computer science (68-XX) 17 Special functions (33-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Fluid mechanics (76-XX) 15 Integral transforms, operational calculus (44-XX) 13 Number theory (11-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Mechanics of particles and systems (70-XX) 11 Functions of a complex variable (30-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Quantum theory (81-XX) 7 General topology (54-XX) 5 Sequences, series, summability (40-XX) 5 Convex and discrete geometry (52-XX) 4 Mathematical logic and foundations (03-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.