Jean Bertoin
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French mathematician
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Jean Bertoinmathematics Degrees
Mathematics
#2010
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#3171
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Probability Theory
#24
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#41
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Measure Theory
#800
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#1063
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Mathematics
Why Is Jean Bertoin Influential?
(Suggest an Edit or Addition)According to Wikipedia, Jean Bertoin is a French mathematician, specializing in probability theory and professor at the University of Zurich. Education and career Bertoin received in 1987 his doctorate from University of Paris VI under Marc Yor with Étude des processus de Dirichlet. Bertoin taught and did research there and is now a professor at the University of Zurich.
Jean Bertoin's Published Works
Published Works
- Random fragmentation and coagulation processes (2006) (523)
- Subordinators: Examples and Applications (1999) (338)
- Exponential functionals of Levy processes (2005) (263)
- Stochastic flows associated to coalescent processes (2003) (193)
- On conditioning a random walk to stay nonnegative (1994) (180)
- Self-similar fragmentations (2002) (173)
- The Bolthausen–Sznitman coalescent and the genealogy of continuous-state branching processes (2000) (153)
- Exponential decay and ergodicity of completely asymmetric Lévy processes in a finite interval (1997) (147)
- Homogeneous fragmentation processes (2001) (130)
- Stochastic flows associated to coalescent processes. III. Limit theorems (2005) (119)
- The asymptotic behavior of fragmentation processes (2003) (107)
- Cramér's estimate for Lévy processes (1994) (101)
- The Inviscid Burgers Equation with Brownian Initial Velocity (1998) (98)
- Splitting at the infimum and excursions in half-lines for random walks and Lévy processes (1993) (95)
- The Entrance Laws of Self-Similar Markov Processes and Exponential Functionals of Lévy Processes (2002) (93)
- On Subordinators, Self-Similar Markov Processes and Some Factorizations of the Exponential Variable (2001) (92)
- Some asymptotic results for transient random walks (1996) (89)
- A fragmentation process connected to Brownian motion (2000) (84)
- Path transformations connecting Brownian bridge, excursion and meander (1994) (81)
- On the entire moments of self-similar Markov processes and exponential functionals of Lévy processes (2002) (81)
- Elephant random walks and their connection to Pólya-type urns. (2016) (80)
- On the First Exit Time of a Completely Asymmetric Stable Process from a Finite Interval (1996) (74)
- An Extension of Pitman's Theorem for Spectrally Positive Levy Processes (1992) (70)
- Stochastic flows associated to coalescent processes II: Stochastic differential equations (2005) (66)
- Entrance from 0+ for increasing semi-stable Markov processes (2002) (64)
- On Continuity Properties of the Law of Integrals of Lévy Processes (2006) (60)
- Discretization Methods for Homogeneous Fragmentations (2004) (59)
- Martingales in self-similar growth-fragmentations and their connections with random planar maps (2016) (56)
- Spitzer's condition for random walks and Lévy Processes (1997) (55)
- Asymptotic Laws for Nonconservative Self-similar Fragmentations (2004) (55)
- Path transformations of first passage bridges (2003) (53)
- Representation of Measures by Balayage from a Regular Recurrent Point (1992) (48)
- Regularity of the half-line for Lévy processes (1997) (46)
- Markovian growth-fragmentation processes (2017) (45)
- Poissonian Exponential Functionals, q-Series, q-Integrals, and the Moment Problem for log-Normal Distributions (2004) (44)
- On a particular class of self-decomposable random variables: the durations of Bessel excursions straddling independent exponential times (2006) (43)
- Lévy Matters I (2010) (42)
- Passage of Lévy processes across power law boundaries at small times (2006) (42)
- Fires on trees (2010) (41)
- On Prolific Individuals in a Supercritical Continuous-State Branching Process (2008) (40)
- The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations. (2007) (40)
- Renewal theory and level passage by subordinators (1999) (38)
- Two Coalescents Derived from the Ranges of Stable Subordinators (2000) (38)
- The cut-tree of large Galton-Watson trees and the Brownian CRT (2012) (36)
- Asymptotic windings of planar brownian motion revisited via the Ornstein-Uhlenbeck process (1994) (36)
- Some applications of duality for Lévy processes in a half‐line (2009) (35)
- Self-similar scaling limits of Markov chains on the positive integers (2014) (33)
- A probabilistic approach to spectral analysis of growth-fragmentation equations (2017) (33)
- Iterated Brownian motion and stable() subordinator (1996) (32)
- Probabilistic aspects of critical growth-fragmentation equations (2015) (32)
- Eternal additive coalescents and certain bridges with exchangeable increments (2001) (32)
- Spatial Branching Processes and Subordination (1997) (31)
- On small masses in self-similar fragmentations (2004) (30)
- Subordinators, Lévy processes with no negative jumps, and branching processes (2000) (29)
- Excursions of a BES0 (d) and its drift term (0 (1990) (29)
- Regenerative embedding of Markov sets (1997) (28)
- Dual Random Fragmentation and Coagulation and an Application to the Genealogy of Yule Processes (2004) (27)
- Random planar maps & growth-fragmentations (2015) (26)
- Sizes of the largest clusters for supercritical percolation on random recursive trees (2014) (25)
- A limit theorem for trees of alleles in branching processes with rare neutral mutations (2009) (24)
- Fragmentation energy (2005) (24)
- The Convex Minorant of the Cauchy Process (2000) (23)
- Complements on the Hilbert transform and the fractional derivative of Brownian local times (1990) (23)
- Clustering statistics for sticky particles with Brownian initial velocity (2000) (22)
- The Structure of Typical Clusters in Large Sparse Random Configurations (2008) (22)
- On a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviors (2018) (22)
- Universality of Noise Reinforced Brownian Motions (2020) (21)
- On the Maximal Offspring in a Critical Branching Process with Infinite Variance (2011) (21)
- Compensated fragmentation processes and limits of dilated fragmentations (2016) (20)
- On the local behaviour of ladder height distributions (1994) (20)
- Noise reinforcement for Lévy processes (2018) (19)
- Eternal solutions to Smoluchowski's coagulation equation with additive kernel and their probabilistic interpretations (2002) (19)
- The fragmentation process of an infinite recursive tree and Ornstein-Uhlenbeck type processes (2015) (19)
- Infinitely ramified point measures and branching Lévy processes (2017) (19)
- Supercritical percolation on large scale-free random trees (2012) (18)
- Construction of a Brownian Path With a Given Minimum (1999) (18)
- On the Hilbert transform of the local times of a Lévy process (1995) (17)
- Almost Giant Clusters for Percolation on Large Trees with Logarithmic Heights (2012) (16)
- Structure of Shocks in Burgers Turbulence¶with Stable Noise Initial Data (1999) (16)
- Darling-Erdős theorems for normalized sums of i.i.d. variables close to a stable law (1998) (16)
- The strong Malthusian behavior of growth-fragmentation processes (2019) (15)
- Two-Parameter Poisson–Dirichlet Measures and Reversible Exchangeable Fragmentation–Coalescence Processes (2007) (15)
- Intersection of independent regenerative sets (1999) (14)
- Reflecting a Langevin process at an absorbing boundary (2006) (14)
- The cut-tree of large recursive trees (2015) (14)
- Some Properties of Burgers Turbulence with White or Stable Noise Initial Data (2001) (14)
- Local explosion in self-similar growth-fragmentation processes (2016) (13)
- Sur la mesure d’Occupation d’une classe de fonctions self-affines (1988) (13)
- On the local rate of growth of Lévy processes with no positive jumps (1995) (13)
- Renewal Theory for Embedded Regenerative Sets (1999) (12)
- Two solvable systems of coagulation equations with limited aggregations (2008) (12)
- Cutting Edges at Random in Large Recursive Trees (2014) (12)
- On nowhere differentiability for Lévy processes (1994) (12)
- Increase of a lévy process with no positive jumps (1991) (12)
- Two chain-transformations and their applications to quantiles (1997) (11)
- Asymptotics in Knuth's parking problem for caravans (2005) (11)
- Cauchy's principal value of local times of Lévy processes with no negative jumps via continuo (1997) (11)
- Biggins' Martingale Convergence for Branching Lévy Processes (2017) (11)
- Large-Deviations Estimates in Burgers Turbulence with Stable Noise Initial Data (1998) (11)
- Scaling exponents of step-reinforced random walks (2020) (10)
- Some two-dimensional extensions of Bougerol’s identity in law for the exponential functional of linear Brownian motion (2012) (10)
- Some applications of subordinators to local times of Markov processes (1995) (10)
- Sample path behaviour in connection with generalized arcsine laws (1995) (10)
- Random covering of an interval and a variation of Kingman's coalescent (2004) (9)
- Asymptotic regimes for the occupancy scheme of multiplicative cascades (2007) (9)
- Some Aspects of Additive Coalescents (2002) (9)
- Homogenenous Multitype Fragmentations (2006) (8)
- Counting the zeros of an elephant random walk (2021) (8)
- Some independence results related to the arc-sine law (1996) (8)
- Some Connections Between (Sub)Critical Branching Mechanisms and Bernstein Functions (2004) (8)
- Increase of stable processes (1994) (8)
- On Largest Offspring in a Critical Branching Process with Finite Variance (2012) (8)
- Lévy processes that can creep downwards never increase (1995) (7)
- A second order SDE for the Langevin process reflected at a completely inelastic boundary (2006) (7)
- Hausdorff dimension of the level sets for self-affine functions (1990) (7)
- On the non-Gaussian fluctuations of the giant cluster for percolation on random recursive trees (2013) (7)
- Different aspects of a random fragmentation model (2006) (7)
- Some elements on Lévy processes (2001) (7)
- Lévy processes with no positive jumps at an increase time (1993) (7)
- A system of grabbing particles related to Galton‐Watson trees (2008) (7)
- Factorizing Laplace exponents in a spectrally positive Lévy process (1992) (6)
- Asymptotical behaviour of the presence probability in branching random walks and fragmentations (2004) (6)
- Self-Attracting Poisson Clouds in an Expanding Universe (2002) (6)
- Hirsch’s integral test for the iterated Brownian motion (1996) (6)
- Burning Cars in a Parking Lot (2011) (6)
- Asymptotic regimes for the partition into colonies of a branching process with emigration. (2009) (6)
- Statistics of a Flux in Burgers Turbulence¶with One-Sided Brownian Initial Data (2001) (6)
- Functional limit theorems for L\'evy processes satisfying Cram\'er's condition (2011) (5)
- Counterbalancing steps at random in a random walk. (2020) (5)
- A Version of Herbert A. Simon’s Model with Slowly Fading Memory and Its Connections to Branching Processes (2019) (5)
- Local times for functions with finite variation: two versions of Stieltjes change‐of‐variables formula (2013) (4)
- On conditioning a self-similar growth-fragmentation by its intrinsic area (2019) (4)
- On a Two-Parameter Yule-Simon Distribution (2020) (4)
- Regularity of the Cauchy principal value of the local times of some Lévy processes (1999) (4)
- On the rate of growth of subordinators with slowly varying Laplace exponent (1995) (4)
- Branching-stable point measures and processes (2018) (4)
- Correction to: How linear reinforcement affects Donsker’s theorem for empirical processes (2020) (3)
- On conditioning random walks in an exponential family to stay nonnegative (1994) (3)
- Retrieving Information from Subordination (2010) (3)
- Ergodic aspects of some Ornstein–Uhlenbeck type processes related to Lévy processes (2017) (3)
- How does a reflected one-dimensional diffusion bounce back? (1992) (3)
- On the local times of noise reinforced Bessel processes (2021) (3)
- Weak limits for the largest subpopulations in Yule processes with high mutation probabilities (2016) (3)
- How linear reinforcement affects Donsker’s theorem for empirical processes (2020) (2)
- Functional limit theorems for Lévy processes satisfying Cramér's condition (2011) (2)
- An aging phenomenon for a fragmentation-coagulation process (2010) (2)
- Stable windings (2021) (2)
- A system of grabbing particles related to Galton-Watson trees (2010) (1)
- Pure jump increasing processes and the change of variables formula (2013) (1)
- The area of a self-similar fragmentation (2011) (1)
- Ju n 20 04 Asymptotic laws for nonconservative self-similar fragmentations (2004) (1)
- Different Aspects of a Model for Random Fragmentation Processes (2005) (1)
- On overshoots and hitting times for random walks (1999) (1)
- A two-time-scale phenomenon in a fragmentation-coagulation process (2010) (1)
- Recent progress in theory and applications : foundations, trees and numerical issues in finance (2010) (1)
- Lévy Processes at Saint-Flour (2012) (1)
- Cauchy’s principal value of local times of L(cid:19)evy processes with no negative jumps via continuous branching processes (2018) (1)
- Burning cars in parkings (2010) (1)
- A Ratio Ergodic Theorem for Brownian Additive Functionals with Infinite Mean (1997) (1)
- A model for an epidemic with contact tracing and cluster isolation, and a detection paradox (2022) (1)
- Increasing processes and the change of variables formula for non-decreasing functions (2013) (0)
- A Version of Herbert A. Simon’s Model with Slowly Fading Memory and Its Connections to Branching Processes (2019) (0)
- SlXtDDLmG INDEPENDENT EXIPOmWIfi TIMES (2008) (0)
- Random Fragmentation and Coagulation Processes: References (2006) (0)
- Limits of P\'olya urns with innovations (2022) (0)
- Lévy Matters I - ReadingSample (2017) (0)
- Scaling exponents of step-reinforced random walks (2020) (0)
- Burning cars in a parking (2011) (0)
- Some Aspects of Random Fragmentations in Continuous Times (2004) (0)
- Random Measures and Measure-Valued Processes (2013) (0)
- Asymptotic regimes in stochastic coalescence (2006) (0)
- Applications of Lévy processes and branching processes to data storage and cell infection (2008) (0)
- Preface for Saint Flour collections (2012) (0)
- Self-similar fragmentation chains (2006) (0)
- Year : 1999 Subordinators : examples and applications (2016) (0)
- Coagulation and Fragmentation Models (2007) (0)
- Scaling limits of branching random walks and branching-stable processes (2021) (0)
- Random Fragmentation and Coagulation Processes: Exchangeable fragmentations (2006) (0)
- Coagulation with limited aggregations (2012) (0)
- PR ] 4 J un 2 00 9 A system of grabbing particles related to Galton-Watson trees (2021) (0)
- Mathematical models for population dynamics: Randomness versus determinism (2016) (0)
- Conditioning a reflected one-dimensional diffusion via its canonical decomposition (1993) (0)
- ASYMMETRIC LEVY PROCESSES IN A FINITE INTERVAL (2016) (0)
- Random Fragmentation and Coagulation Processes: Random partitions (2006) (0)
- Martingales in self-similar growth-fragmentations and their connections with random planar maps (2017) (0)
- PR ] 1 9 O ct 2 01 8 Noise reinforcement for Lévy processes (2018) (0)
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