39 citations · 39 across the 6 of their papers we have counts for
3 papers · 1 filter
From stochastic individual-based models to free-boundary Hamilton-Jacobi equations
Nicolas Champagnat, Sylvie Méléard, Sepideh Mirrahimi +1
We study a stochastic branching model for a population structured by a quantitative phenotypic trait and subject to births, deaths, and mutations. In a regime of large population a…
Random walks on simplicial complexes
Thomas Bonis, Laurent Decreusefond, Viet Chi Tran +1
The notion of Laplacian of a graph can be generalized to simplicial complexes and hypergraphs, and contains information on the topology of these structures. Even for a graph, the c…
Slow and fast scales for superprocess limits of age-structured populations
Sylvie Méléard, Viet Chi Tran
A superprocess limit for an interacting birth-death particle system modelling a population with trait and physical age-structures is established. Traits of newborn offspring are in…