63 citations
- Institut National de Recherche pour l'Agriculture, l'Alimentation et l'EnvironnementFR44 papers
- Institut national de recherche en sciences et technologies du numériqueFR22 papers
- Centre National de la Recherche ScientifiqueFR15 papers
- Université de MontpellierFR15 papers
- Institut Agro MontpellierFR14 papers
- Institut Agro Montpelier10 papers
- Université Paris-SaclayFR9 papers
- Centre Inria d'Université Côte d'AzurFR7 papers
- Institut Élie Cartan de LorraineFR6 papers
- Institut Montpelliérain Alexander GrothendieckFR6 papers
- Université de LorraineFR6 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR5 papers
16 papers · 1 filter
Quasi-stationary behavior for an hybrid model of chemostat: the Crump-Young model
Bertrand Cloez, Coralie Fritsch
The Crump-Young model consists of two fully coupled stochastic processes modeling the substrate and microorganisms dynamics in a chemostat. Substrate evolves following an ordinary…
Flocking of the Cucker-Smale and Motsch-Tadmor models on general weighted digraphs via a probabilistic method
Adrien Jean Cotil
In this paper, we discuss the flocking phenomenon for the Cucker-Smale and Motsch-Tadmor models in continuous time on a general oriented and weighted graph with a general communica…
Uniform in time propagation of chaos for a Moran model
Bertrand Cloez, Josué Corujo
The goal of this article is to study the limit of the empirical distribution induced by a mutation-selection multi-allelic Moran model, whose dynamic is given by a continuous-time…
On an irreducibility type condition for the ergodicity of nonconservative semigroups
Bertrand Cloez, Pierre Gabriel
We propose a simple criterion, inspired from the irreducible aperiodic Markov chains, to derive the exponential convergence of general positive semi-groups. When not checkable on t…
Markovian tricks for non-Markovian trees: contour process, extinction and scaling limits
Bertrand Cloez, Benoît Henry
In this work, we study a family of non-Markovian trees modeling populations where individuals live and reproduce independently with possibly time-dependent birth-rate and lifetime…
Probabilistic and Piecewise Deterministic models in Biology
Bertrand Cloez, Renaud Dessalles, Alexandre Genadot +3
We present recent results on Piecewise Deterministic Markov Processes (PDMPs), involved in biological modeling. PDMPs, first introduced in the probabilistic literature by Davis (19…