B
Bertrand Cloez
Researcher at Institut national de la recherche agronomique
Publications - 44
Citations - 819
Bertrand Cloez is an academic researcher from Institut national de la recherche agronomique. The author has contributed to research in topics: Markov process & Population. The author has an hindex of 14, co-authored 39 publications receiving 664 citations. Previous affiliations of Bertrand Cloez include French Institute for Research in Computer Science and Automation & SupAgro.
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Exponential ergodicity for Markov processes with random switching
Bertrand Cloez,Martin Hairer +1 more
TL;DR: In this article, the convergence to equilibrium in terms of Wasserstein distance has been studied for piecewise deterministic Markov processes with two components, where the first component evolves according to one of finitely many underlying Markovian dynamics, with a choice of dynamics that changes at the jump times of the second component.
Journal ArticleDOI
Exponential ergodicity for Markov processes with random switching
Bertrand Cloez,Martin Hairer +1 more
TL;DR: In this article, the convergence to equilibrium in terms of Wasserstein distance has been studied for piecewise deterministic Markov processes with two components, where the first component evolves according to one of finitely many underlying Markovian dynamics, with a choice of dynamics that changes at the jump times of the second component.
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Perspectives in Mathematical Modelling for Microbial Ecology
Matthew J. Wade,Jérôme Harmand,Boumediene Benyahia,Théodore Bouchez,Stephane Chaillou,Bertrand Cloez,Jean-Jacques Godon,Claude Lobry,Boumédiène Moussa Boubjemaa,Alain Rapaport,Tewfik Sari,Roger Arditi +11 more
TL;DR: In this paper, the current state of mathematical modelling in microbial ecology, looking back at the developments that have defined the synergies between the disciplines, and outline some of the existing challenges that motivate us to provide practical models in the hope that greater engagement with empiricists and practitioners in the microbiological domain may be achieved.
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Limit theorems for some branching measure-valued processes
TL;DR: In this article, the authors considered a particle system in continuous time, a discrete population, with spatial motion, and nonlocal branching, and determined the asymptotic behavior of the particle system using a size-biased auxiliary process.
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Ergodic Behavior of Non-conservative Semigroups via Generalized Doeblin’s Conditions
TL;DR: In this paper, the authors provide quantitative estimates in total variation distance for positive semi-groups, which can be non-conservative and non-homogeneous, based on a family of conservative semigroups that describes a typical particle and Doeblin's type conditions for coupling the associated process.