1.8k citations
- CERMICSFR274 papers
- Centre National de la Recherche ScientifiqueFR162 papers
- Institut national de recherche en sciences et technologies du numériqueFR159 papers
- Pôle de recherche et d'enseignement supérieur Université Paris-EstFR92 papers
- Laboratoire NavierFR82 papers
- Laboratoire d'Informatique Gaspard-MongeFR46 papers
- Paris-Est SupFR40 papers
- Université Gustave EiffelFR39 papers
- MATHERIALS: MATHematics for MatERIALSFR27 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR26 papers
- Sorbonne UniversitéFR26 papers
- Université Paris-SaclayFR21 papers
Showing 2009 · math.PRShow all
2 papers · 2 filters
math.PR2009★ 43 cited
Limit theorems for Markov processes indexed by continuous time Galton--Watson trees
Vincent Bansaye, Jean-François Delmas, Laurence Marsalle +1
We study the evolution of a particle system whose genealogy is given by a supercritical continuous time Galton--Watson tree. The particles move independently according to a Markov…
math.PR2009
Existence, uniqueness and convergence of a particle approximation for the Adaptive Biasing Force process
Benjamin Jourdain, Tony Lelievre, Raphaël Roux
We prove existence and uniqueness for some nonlinear stochastic differential equation used in molecular dynamics, whose nonlinearity comes from a conditional expectation term. We a…