169 citations · 527 across the 30 of their papers we have counts for
3 papers · 1 filter
Transcritical bifurcation for the conditional distribution of a diffusion process
Michel Benaïm, Nicolas Champagnat, William Oçafrain +1
In this article, we describe a simple class of models of absorbed diffusion processes with parameter, whose conditional law exhibits a transcritical bifurcation. Our proofs are bas…
Untangling the role of temporal and spatial variations in persistance of populations
Michel Benaïm, Claude Lobry, Tewfik Sari +1
We consider a population distributed between two habitats, in each of which it experiences a growth rate that switches periodically between two values, or $ -…
Degenerate processes killed at the boundary of a domain
Michel Benaïm, Nicolas Champagnat, William Oçafrain +1
We investigate certain properties of degenerate Feller processes that are killed when exiting a relatively compact set. Our main result provides general conditions ensuring that su…