25 citations · 44 across the 20 of their papers we have counts for
25 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…
Extremal shot noise processes and random cutout sets
Clément Foucart, Linglong Yuan
We study some fundamental properties, such as the transience, the recurrence, the first passage times and the zero-set of a certain type of sawtooth Markov processes, called extrem…
Continuous-state branching processes with collisions: first passage times and duality
Clément Foucart, Matija Vidmar
We introduce a class of one-dimensional positive Markov processes generalizing continuous-state branching processes (CBs), by taking into account a phenomenon of random collisions.…
Local explosions and extinction in continuous-state branching processes with logistic competition
Clément Foucart
We study by duality methods the extinction and explosion times of continuous-state branching processes with logistic competition (LCSBPs) and identify the local time at of…
On the boundary classification of -Wright-Fisher processes with frequency-dependent selection
Clément Foucart, Xiaowen Zhou
We construct extensions of the pure-jump -Wright-Fisher processes with frequency-dependent selection (-WF processes with selection) beyond their first passage time at the bou…
Asymptotic behaviour of ancestral lineages in subcritical continuous-state branching populations
Clément Foucart, Martin Möhle
Consider the population model with infinite size associated to subcritical continuous-state branching processes (CSBP). Individuals reproduce independently according to the same su…
Limit theorems for continuous-state branching processes with immigration
Clément Foucart, Chunhua Ma, Linglong Yuan
We prove and extend some results stated by Mark Pinsky: Limit theorems for continuous state branching processes with immigration [Bull. Amer. Math. Soc. 78(1972), 242--244]. Consid…
On the explosion of the number of fragments in the simple exchangeable fragmentation-coalescence processes
Clément Foucart, Xiaowen Zhou
We consider the exchangeable fragmentation-coagulation (EFC) processes, where the coagulations are multiple and not simultaneous, as in a -coalescent, and the fragmentations dis…
On the entrance at infinity of Feller processes with no negative jumps
Clément Foucart, Pei-Sen Li, Xiaowen Zhou
Consider a non-explosive positive Feller process with no negative jumps. It is shown in this note that when infinity is an entrance boundary, in the sense that the entrance times o…
Time-changed spectrally positive Lévy processes starting from infinity
Clément Foucart, Pei-Sen Li, Xiaowen Zhou
Consider a spectrally positive Lévy process with log-Laplace exponent and a positive continuous function on . We investigate the entrance from of t…
Coalescences in Continuous-State Branching Processes
Clément Foucart, Chunhua Ma, Bastien Mallein
Consider a continuous-state branching population constructed as a flow of nested subordinators. Inverting the subordinators and reversing time give rise to a flow of coalescing Mar…
Continuous-state branching processes with competition: duality and reflection at Infinity
Clément Foucart
The boundary behavior of continuous-state branching processes with quadratic competition is studied in whole generality. We first observe that despite competition, explosion can oc…
Continuous-state branching processes, extremal processes and super-individuals
Clément Foucart, Chunhua Ma
The long-term behaviors of flows of continuous-state branching processes are characterized through subordinators and extremal processes. The extremal processes arise in the case of…
A phase transition in the coming down from infinity of simple exchangeable fragmentation-coagulation processes
Clément Foucart
We consider the class of exchangeable fragmentation-coagulation (EFC) processes where coagulations are multiple and not simultaneous, as in a -coalescent, and fragmentation disl…
On the hitting times of continuous-state branching processes with immigration
Xan Duhalde, Clément Foucart, Chunhua Ma
We study the two-dimensional joint distribution of the first hitting time of a constant level by a continuous-state branching process with immigration and their primitive stopped a…
The impact of selection in the Λ-Wright-Fisher model
Clement Foucart
The purpose of this article is to study some asymptotic properties of the Λ-Wright-Fisher process with selection. This process represents the frequency of a disadvantaged allele. T…
Local extinction in continuous-state branching processes with immigration
Clément Foucart, Gerónimo Uribe Bravo
The purpose of this article is to observe that the zero sets of continuous-state branching processes with immigration (CBI) are infinitely divisible regenerative sets. Indeed, they…
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…
Generalized Fleming-Viot processes with immigration via stochastic flows of partitions
Clément Foucart
The generalized Fleming-Viot processes were defined in 1999 by Donnelly and Kurtz using a particle model and by Bertoin and Le Gall in 2003 using stochastic flows of bridges. In bo…