285 citations
- Université de LorraineFR52 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Institut national de recherche en sciences et technologies du numériqueFR7 papers
- Institut Universitaire de FranceFR4 papers
- University of LuxembourgLU3 papers
- Technische Universität DarmstadtDE2 papers
- Åbo Akademi UniversityFI1 paper
- Agence Nationale de la RechercheFR1 paper
- Centre de Recherche en Mathématiques de la DécisionFR1 paper
- Centre Inria de l'Université de LorraineFR1 paper
- École Normale Supérieure - PSLFR1 paper
- École PolytechniqueFR1 paper
8 papers · 1 filter
Percolating paths through random points :
David Aldous, Maxim Krikun
We prove consistency of four different approaches to formalizing the idea of minimum average edge-length in a path linking some infinite subset of points of a Poisson process. The…
A microscopic probabilistic description of a locally regulated population and macroscopic approximations
Nicolas Fournier, Sylvie Meleard
We consider a discrete model that describes a locally regulated spatial population with mortality selection. This model was studied in parallel by Bolker and Pacala and Dieckmann,…
The exit problem for diffusions with time-periodic drift and stochastic resonance
Samuel Herrmann, Peter Imkeller
Physical notions of stochastic resonance for potential diffusions in periodically changing double-well potentials such as the spectral power amplification have proved to be defecti…
Some Connections Between (Sub)Critical Branching Mechanisms and Bernstein Functions
Jean Bertoin, Bernard Roynette, Marc Yor
We describe some connections, via composition, between two functional spaces: the space of (sub)critical branching mechanisms and the space of Bernstein functions. The functions ${…
Limit law of the standard right factor of a random Lyndon word
Regine Marchand, Elahe Zohoorian Azad
Consider the set of finite words on a totally ordered alphabet with letters. We prove that the distribution of the length of the standard right factor of a random Lyndon word w…
Merging costs for the additive Marcus-Lushnikov process, and Union-Find algorithms
Philippe Chassaing, Regine Marchand
Starting with a monodisperse configuration with size-1 particles, an additive Marcus-Lushnikov process evolves until it reaches its final state (a unique particle with mass …