Clément Foucart

Maître de conférence à l'université Sorbonne Paris Nord (aka P13) au Laboratoire Analyse, Géométrie et Applications. My research focuses on some random processes often inspired by biological concepts such as "coalescent processes and branching processes."

Contact: foucart@math.univ-paris13.fr.

Responsable du séminaire de l'équipe de Probabilités et Statistiques: site du séminaire

Membre du comité scientifique du LABEX MME-DII : site du LABEX

Aux étudiants d'un master 2 recherche en probabilités: vous pouvez me contacter si vous êtes intéressés pour faire un mémoire sur un des thémes suivants: processus de Lévy, recouvrement aléatoire, processus de coalescence et ou fragmentation, processus de branchement.

Enseignements

Master M1 MEEF Probabilités et Statistiques pour le Master Enseignement: polycopié de cours, polycopié d'exercices (partie discrète) polycopié d'exercices (partie continue)

Master M2 Probabilités et Applications et Master Math Fonda: Processus de branchement en temps et espace continus: Résumé du cours, Rappels Processus de Markov, Théorème de Bernstein, Forme des semi-groupes branchants

Publications

do not hesitate to contact me for latest/published versions.

Distinguished exchangeable coalescents and generalized Fleming-Viot processes with immigration. Advances in Applied Probability, June 2011, Vol.43 no 2

Generalized Fleming-Viot processes with immigration via stochastic flows of partitions. ALEA, Lat. Am. J. Probab. Math. Stat. 9(2), 451-472 (2012)

Stable continuous-state branching processes with immigration and Beta-Fleming-Viot processes with immigration, with Olivier Hénard. Electronic Journal of Probability, Vol.18, (2013), no.23, 1-21.

Local extinction in continuous-state branching processes with immigration with Gerónimo Uribe Bravo, Bernoulli Volume 20, Number 4 (2014)

The impact of selection in the Lambda-Wright-Fisher model. (Electronic Communication of Probability, no 72, Vol.18, (2013)).

On the hitting times of continuous-state branching processes with immigration with Xan Duhalde and Chunhua Ma, (Stochastic processes and their Applications Vol. 124, Issue 12, (2014).

Continuous-state branching processes, extremal processes and super-individuals with Chunhua Ma ( Ann. Inst. Henri Poincaré Probab. Stat. 55 (2019), no. 2). ArXiv (final version)

Continuous-state branching processes with competition: duality and reflection at infinity, (Electron. J. Probab. 24 (2019), no. 33) Journal

Coalescences in Continuous-State Branching Processes, with Chunhua Ma and Bastien Mallein, (Electron. J. Probab. 24, (2019), no. 103) Journal

On the entrance at infinity of Feller processes with no negative jumps, with Pei-Sen Li and Xiaowen Zhou (Statistics and Probability Letters (2020)) ArXiv, Journal

Time-changed spectrally positive Lévy processes started from infinity, with Pei-Sen Li and Xiaowen Zhou (Bernoulli 2021, Vol. 27, No. 2, 1291-1318.) ArXiv, Journal

A phase transition in the coming down from infinity of simple exchangeable fragmentation-coagulation processes (Annals of Applied Probability 2022, Vol. 32, No. 1, 632-664.) Article, Journal

On the explosion of the number of fragments in the simple exchangeable fragmentation-coalescence processes, with Xiaowen Zhou (to appear in Ann. Inst. Henri Poincaré Probab. Stat. ) Preprint

Limit theorems for continuous-state branching processes with immigration, with Chunhua Ma and Linglong Yuan (to appear in Advances in Applied Probability) ArXiv

On the boundary classification of $\Lambda$-Wright-Fisher processes with frequency-dependent selection, with Xiaowen Zhou (to appear in Annales Henri Lebesgue) ArXiv

Asymptotic behaviour of ancestral lineages in subcritical continuous-state branching populations, with Martin Moehle (to appear in Stochastic Processes and their Application) Last version

Preprints

Local explosions and extinction in continuous-state branching processes with logistic competition (submitted) ArXiv