3 citations · 3 across the 4 of their papers we have counts for
4 papers
Conditioning the logistic continuous-state branching process on non-extinction via its total progeny
Clément Foucart, Víctor Rivero, Anita Winter
The problem of conditioning a continuous-state branching process with quadratic competition (logistic CB process) on non-extinction is investigated. We first establish that non-ext…
Behaviors near explosion of nonlinear CSBPs with regularly varying mechanisms
Bo Li, Clément Foucart, Xiaowen Zhou
We study the explosion phenomenon of nonlinear continuous-state branching processes (nonlinear CSBPs). First an explicit integral test for explosion is designed when the rate funct…
Stable continuous branching processes with immigration and Beta-Fleming-Viot processes with immigration
Clément Foucart, Olivier Hénard
Branching processes and Fleming-Viot processes are two main models in stochastic population theory. Incorporating an immigration in both models, we generalize the results of Shiga…
Distinguished exchangeable coalescents and generalized Fleming-Viot processes with immigration
Clément Foucart
Coalescents with multiple collisions (also called Lambda-coalescents or simple exchangeable coalescents) are used as models of genealogies. We study a new class of Markovian coales…