116 citations
- Pontificia Universidad Católica de ChileCL13 papers
- Center for Mathematical ModelingCL8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- European Southern ObservatoryCL7 papers
- California Institute of TechnologyUS6 papers
- Center for Astrophysics Harvard & SmithsonianUS4 papers
- École PolytechniqueFR4 papers
- Yale UniversityUS4 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR3 papers
- Harvard UniversityUS3 papers
- Institute of Astronomy and Space PhysicsAR3 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR3 papers
5 papers · 1 filter
Quasi-stationary distributions for structured birth and death processes with mutations
Pierre Collet, Servet Martinez, Sylvie Méléard +1
We study the probabilistic evolution of a birth and death continuous time measure-valued process with mutations and ecological interactions. The individuals are characterized by (p…
Measurability of optimal transportation and strong coupling of martingale measures
Joaquin Fontbona, Helene Guerin, Sylvie Meleard
We consider the optimal mass transportation problem in $\RR^d$ with measurably parameterized marginals, for general cost functions and under conditions ensuring the existence of a…
Ultrametric and tree potential
Claude Dellacherie, Servet Martinez, Jaime San Martin
We study infinite tree and ultrametric matrices, and their action on the boundary of the tree. For each tree matrix we show the existence of a symmetric random walk associated to i…
Measurability of optimal transportation and convergence rate for Landau type interacting particle systems
Joaquin Fontbona, Helene Guerin, Sylvie Meleard
In this paper, we consider nonlinear diffusion processes driven by space-time white noises, which have an interpretation in terms of partial differential equations. For a specific…
Formule d'Ito pour des diffusions uniformement elliptiques et processus de Dirichlet
K. Dupoiron, P. Mathieu, J. San Martin
If X is a d-dimensional uniformly elliptic diffusion, with initial law nu, we show that F(X) is a Dirichlet process, whenever F satisfies an integrability condition linking its wea…