27–31 janv. 2025
Orsay
Fuseau horaire Europe/Paris

Law of large numbers and central limit theorem for branching processes

Non programmé
45m
Orsay

Orsay

307 rue Michel Magat

Orateur

Bertrand CLOEZ

Description

In this talk, we consider branching processes in infinite dimension; that is, a particle system where each particle follows Markov dynamics independently of the others between particle birth and death events. This includes growth-fragmentation processes, branching diffusions, Bellman-Harris processes... We will present recent results on the laws of large numbers and central limit theorems for empirical measure convergence. The latter are based on relatively weak assumptions about the underlying dynamics: the state space may be non-compact, the dynamics non-reversible, the branching non-local...

Documents de présentation

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