227 citations
- Université d'OrléansFR96 papers
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10 papers · 1 filter
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…
Nonlinear Schrödinger equation on four-dimensional compact manifolds
P. Gérard, V. Pierfelice
We prove two new results about the Cauchy problem for nonlinear Schroedinger equations on four-dimensional compact manifolds. The first one concerns global wellposedness for Hartre…
Discrete radar ambiguity problems
Aline Bonami, Gustavo Garrigos, Philippe Jaming
In this paper, we pursue the study of the radar ambiguity problem started in \cite{Ja,GJP}. More precisely, for a given function we ask for all functions (called \emph{ambi…