227 citations
- Université d'OrléansFR96 papers
- Centre National de la Recherche ScientifiqueFR75 papers
- CERMICSFR28 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR24 papers
- Université de ToursFR17 papers
- Laboratoire Jean-Alexandre DieudonnéFR12 papers
- Institut national de recherche en sciences et technologies du numériqueFR10 papers
- Laboratoire de Mathématiques d'OrsayFR10 papers
- Laboratoire Jacques-Louis LionsFR9 papers
- Institut Denis PoissonFR8 papers
- Bielefeld UniversityDE7 papers
- École nationale des ponts et chausséesFR7 papers
5 papers · 2 filters
Feller property and infinitesimal generator of the exploration process
Romain Abraham, Jean-Francois Delmas
We consider the exploration process associated to the continuous random tree (CRT) built using a Levy process with no negative jumps. This process has been studied by Duquesne, Le…
Fragmentation associated to Levy processes using snake
Romain Abraham, Jean-Francois Delmas
We consider the height process of a Levy process with no negative jumps, and its associated continuous tree representation. Using Levy snake tools developed by Duquesne and Le Gall…
No multiple collisions for mutually repelling Brownian particles
Emmanuel Cépa, Dominique Lépingle
Brownian particles in electrostatic interaction may pairwise collide when the interaction parameter is small. But multiple collisions are never possible.
Solvable models of neighbor-dependent nucleotide substitution processes
Jean Bérard, Jean-Baptiste Gouéré, Didier Piau
We prove that a wide class of models of Markov neighbor-dependent substitution processes on the integer line is solvable. This class contains some models of nucleotide substitution…
Competition between growths governed by Bernoulli Percolation
Olivier Garet, Régine Marchand
We study a competition model on where the two infections are driven by supercritical Bernoulli percolations with distinct parameters and . We prove that, for…