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math.PR2023★ 1 cited
Hydrodynamic limit of N-branching Markov processes
Jean Bérard, Brieuc Frénais
We consider the behaviour of branching-selection particle systems in the large population limit. The dynamics of these systems is the combination of the following three components:…
math.PR2023
The comonotone flow of a stochastically monotone Feller process on the real line
Jean Bérard, Brieuc Frénais
We show that any stochastically monotone Feller semigroup on R can be extended by a consistent family of order-preserving Feller semigroups on the successive powers of R. We exhibi…