14.2k citations
- Centre National de la Recherche ScientifiqueFR1.1k papers
- Institut de recherche mathématique de RennesFR519 papers
- Université Rennes 1FR408 papers
- Institut de Physique de RennesFR324 papers
- Institut de Recherche en Informatique et Systèmes AléatoiresFR228 papers
- Sorbonne UniversitéFR195 papers
- University of WarsawPL167 papers
- Observatoire de la Côte d’AzurFR165 papers
- University of Rome Tor VergataIT165 papers
- Université Paris-SaclayFR164 papers
- Massachusetts Institute of TechnologyUS162 papers
- California Institute of TechnologyUS161 papers
69 papers · 1 filter
Branching processes and bacterial growth
Nathalie Krell
We model the growth of a cell population using a piecewise deterministic Markov branching tree. In this model, each cell splits into two offspring at a division rate , which…
Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions
Axel Péneau
Let be a probability distribution over the linear semi-group for a finite dimensional vector space over a locally compact field. We assume that …
A general martingale approach to large noise homogenization
Dimitri Faure, Mathias Rousset
We consider Markov processes with generator of the form , in which generates a so-called dominant process that converges at la…
Mean field singular stochastic PDEs
I. Bailleul, N. Moench
We study some systems of interacting fields whose evolution is given by some singular stochastic partial differential equations of mean field type. We provide a robust setting for…
Regularity of laws via Dirichlet forms -- Application to quadratic forms in independent and identically distributed random variables
Ronan Herry, Dominique Malicet, Guillaume Poly
We study the regularity of the law of a quadratic form , evaluated in a sequence of independent and identically distributed random variables, when can…
Superconvergence phenomenon in Wiener chaoses
Ronan Herry, Dominique Malicet, Guillaume Poly
We establish an unexpected phenomenon of strong regularization along normal convergence on Wiener chaoses. For every sequence of chaotic random variables, convergence in law to the…