490 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institut national de recherche en sciences et technologies du numériqueFR110 papers
- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR87 papers
- Centre National de la Recherche ScientifiqueFR55 papers
- Université de LorraineFR43 papers
- Institut Élie Cartan de LorraineFR35 papers
- Université de StrasbourgFR10 papers
- École PolytechniqueFR9 papers
- Laboratoire des Sciences de l'Ingénieur, de l'Informatique et de l'ImagerieFR9 papers
- University of LuxembourgLU8 papers
- Institut de Recherche Mathématique AvancéeFR7 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR5 papers
- Computer Algorithms for MedicineAT5 papers
13 papers · 1 filter
Uniform Wasserstein convergence of penalized Markov processes
Nicolas Champagnat, Edouard Strickler, Denis Villemonais
For general penalized Markov processes with soft killing, we propose a simple criterion ensuring uniform convergence of conditional distributions in Wasserstein distance to a uniqu…
Persistence in the Moran model with random switching
Arnaud Guillin, Arnaud Personne, Edouard Strickler
The paper is devoted to the study of the asymptotic behaviour of Moran process in random environment, say random selection. In finite population, the Moran process may be degenerat…
Perpetual integrals convergence and extinctions in population dynamics
Camille Coron, Sylvie Méléard, Denis Villemonais
In this article we use a criterion for the integrability of paths of one-dimensional diffusion processes from which we derive new insights on allelic fixation in several situations…
Stretch Factor of Long Paths in a planar Poisson-Delaunay Triangulation
Nicolas Chenavier, Olivier Devillers
Let , where is a planar Poisson point process of intensity . We provide a first non-trivial lower bound for the distance between the expected le…
The snapping out Brownian motion
Antoine Lejay
We give a probabilistic representation of a one-dimensional diffusion equation where the solution is discontinuous at with a jump proportional to its flux. This kind of interfa…
Stochastic equation of fragmentation and branching processes related to avalanches
Lucian Beznea, Madalina Deaconu, Oana Lupascu
We give a stochastic model for the fragmentation phase of a snow avalanche. We construct a fragmentation-branching process related to the avalanches, on the set of all fragmentatio…
Stochastic heat equations with general multiplicative Gaussian noises: Hölder continuity and intermittency
Yaozhong Hu, Jingyu Huang, David Nualart +1
This paper studies the stochastic heat equation with multiplicative noises of the form uW, where W is a mean zero Gaussian noise and the differential element uW is interpreted both…
On probability laws of solutions to differential systems driven by a fractional Brownian motion
Fabrice Baudoin, Eulalia Nualart, Cheng Ouyang +1
This article investigates several properties related to densities of solutions X to differential equations driven by a fractional Brownian motion with Hurst parameter H>1/4. We fir…
Skorohod and Stratonovich integration in the plane
Khalil Chouk, Samy Tindel
This article gives an account on various aspects of stochastic calculus in the plane. Specifically, our aim is 3-fold: (i) Derive a pathwise change of variable formula for a path i…
Adaptation in a stochastic multi-resources chemostat model
Nicolas Champagnat, Pierre-Emmanuel Jabin, Sylvie Méléard
We are interested in modeling the Darwinian evolution resulting from the interplay of phenotypic variation and natural selection through ecological interactions, in the specific sc…
Approximation of stationary solutions to SDEs driven by multiplicative fractional noise
Serge Cohen, Fabien Panloup, Samy Tindel
In a previous paper, we studied the ergodic properties of an Euler scheme of a stochastic differential equation with a Gaussian additive noise in order to approximate the stationar…
On Dirichlet eigenvectors for neutral two-dimensional Markov chains
Nicolas Champagnat, Persi Diaconis, Laurent Miclo
We consider a general class of discrete, two-dimensional Markov chains modeling the dynamics of a population with two types, without mutation or immigration, and neutral in the sen…
Splitting trees with neutral Poissonian mutations II: Largest and Oldest families
Nicolas Champagnat, Amaury Lambert
We consider a supercritical branching population, where individuals have i.i.d. lifetime durations (which are not necessarily exponentially distributed) and give birth (singly) at…