2 citations · 3 across the 7 of their papers we have counts for
13 papers
Continuous-state branching processes with Lévy-Khintchine drift-interaction: Laplace duality and Fellerian extensions
Clément Foucart, Félix Rebotier
We investigate the class of continuous-state branching processes with interaction driven by a Lévy-Khintchine type drift (CBDI). These -valued processes capture both dy…
Positive Markov processes in Laplace duality
Clément Foucart, Matija Vidmar
This article develops a general framework for Laplace duality between positive Markov processes in which the one-dimensional Laplace transform of one process can be represented thr…
Decompositions of CSBPs via Poissonian Intertwining
Clément Foucart, Olivier Hénard
We revisit certain decompositions of continuous-state branching processes (CSBPs), commonly referred to as skeletal decompositions, through the lens of intertwining of semi-groups.…
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…
Weak convergence of continuous-state branching processes with large immigration
Clément Foucart, Linglong Yuan
Functional limit theorems are established for continuous-state branching processes with immigration (CBIs), where the reproduction laws have finite first moments and the immigratio…