Výsledky vyhledávání - "Bertrand Cloez"

Optimal stopping for measure-valued piecewise deterministic Markov processes

Autor: Maud Joubaud, Bertrand Cloez, Benoîte de Saporta

Publikováno v: Journal of Applied Probability
Journal of Applied Probability, Cambridge University press, 2020, 57 (2), pp.497-512. ⟨10.1017/jpr.2020.18⟩

This paper investigates the random horizon optimal stopping problem for measure-valued piecewise deterministic Markov processes (PDMPs). This is motivated by population dynamics applications, when one wants to monitor some characteristics of the indi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97785636de354bc57b2534969489f256
https://doi.org/10.1017/jpr.2020.18

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Uniform in time propagation of chaos for a Moran model

Autor: Bertrand Cloez, Josué Corujo

Publikováno v: Stochastic Processes and their Applications
Stochastic Processes and their Applications, 2022, 154, pp.251-285. ⟨10.1016/j.spa.2022.09.006⟩

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 irreducible Markov chain. The rate matrix driving the mutation is assu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8263bfd1f073366e486accbc8c32ea1a
https://hal.archives-ouvertes.fr/hal-03345583

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Ergodic Behavior of Non-conservative Semigroups via Generalized Doeblin’s Conditions

Autor: Pierre Gabriel, Bertrand Cloez, Vincent Bansaye

Publikováno v: Acta Applicandae Mathematicae
Acta Applicandae Mathematicae, Springer Verlag, In press, ⟨10.1007/s10440-019-00253-5⟩
Acta Applicandae Mathematicae, Springer Verlag, 2020, 166 (1), pp.29-72. ⟨10.1007/s10440-019-00253-5⟩

International audience; We provide quantitative estimates in total variation distance for positive semi-groups, which can be non-conservative and non-homogeneous. The techniques relies on a family of conservative semigroups that describes a typical p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2745cd3dd5a62386a5482b87a32f39f0
https://doi.org/10.1007/s10440-019-00253-5

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Long-time behavior and Darwinian optimality for an asymmetric size-structured branching process

Autor: Bertrand Cloez, Benoîte de Saporta, Tristan Roget

Publikováno v: Journal of Mathematical Biology
Journal of Mathematical Biology, Springer Verlag (Germany), 2021, 83 (69), pp.6-7. ⟨10.1007/s00285-021-01695-y⟩

International audience; We study the long time behavior of an asymmetric size-structured measure-valued growth-fragmentation branching process that models the dynamics of a population of cells taking into account physiological and morphological asymm

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::524c9596c13f256a1323adb38d1a2b96
https://pubmed.ncbi.nlm.nih.gov/34870743

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On an irreducibility type condition for the ergodicity of nonconservative semigroups

Autor: Pierre Gabriel, Bertrand Cloez

Publikováno v: Comptes Rendus. Mathématique
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2020, 358 (6), pp.733-742. ⟨10.5802/crmath.92⟩
Comptes Rendus Mathématique
Comptes Rendus Mathématique, Elsevier Masson, 2020, 358 (6), pp.733-742. ⟨10.5802/crmath.92⟩

International audience; We propose a simple criterion, inspired from the irreducible aperiodic Markov chains, to derive the exponential convergence of general positive semigroups. When not checkable on the whole state space, it can be combined to the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0769cbb89d54e1de7f81f179c6e89e3b
https://hal.archives-ouvertes.fr/hal-02291295/document

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Intertwinings and Stein's magic factors for birth-death processes

Autor: Claire Delplancke, Bertrand Cloez

Publikováno v: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2019, 55 (1), pp.341-377. ⟨10.1214/18-AIHP884⟩
www.imstat.org/aihp
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institute Henri Poincaré, 2019, 55 (1), pp.341-377. ⟨10.1214/18-AIHP884⟩
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2019, 55 (1), pp.341-377. ⟨10.1214/18-AIHP884⟩
Ann. Inst. H. Poincaré Probab. Statist. 55, no. 1 (2019), 341-377

This article investigates second order intertwinings between semigroups of birth-death processes and discrete gradients on the space of natural integers N. It goes one step beyond a recent work of Chafa{\"i} and Joulin which establishes and applies t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c5448f7d300a726f7a55a29bd5b5542
https://hal.archives-ouvertes.fr/hal-01371607

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Stochastic approximation of quasi-stationary distributions on compact spaces and applications

Autor: Bertrand Cloez, Michel Benaïm, Fabien Panloup

Publikováno v: Annals of Applied Probability
Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2018, 28 (4), pp.2370-2416
Ann. Appl. Probab. 28, no. 4 (2018), 2370-2416
Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2018, 28 (4), pp.2370-2416. ⟨10.1214/17-AAP1360⟩

International audience; In the continuity of a recent paper ([6]), dealing with finite Markov chains, this paper proposes and analyzes a recursive algorithm for the approximation of the quasi-stationary distribution of a general Markov chain living o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f786138ff6564eabab110ed42e845e0
https://hal.archives-ouvertes.fr/hal-01334603v3/document

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Gaussian approximations for chemostat models in finite and infinite dimensions

Autor: Coralie Fritsch, Bertrand Cloez

Publikováno v: Journal of Mathematical Biology
Journal of Mathematical Biology, 2017, 75 (4), pp.805-843. ⟨10.1007/s00285-017-1097-6⟩
Journal of Mathematical Biology, Springer Verlag (Germany), 2017, 75 (4), pp.805-843. ⟨10.1007/s00285-017-1097-6⟩

International audience; In a chemostat, bacteria live in a growth container of constant volume in which liquid is injected continuously. Recently, Campillo and Fritsch introduced a mass-structured individual-based model to represent this dynamics and

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22e8621dfbedebc3c05fb5970a941919
https://hal.science/hal-01371591v2/file/manuscript.pdf

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Fluctuations of the Empirical Measure of Freezing Markov Chains

Autor: Bertrand Cloez, Florian Bouguet

Publikováno v: Electronic Journal of Probability
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2018, 23, pp.1-32. ⟨10.1214/17-EJP130⟩
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2018, 23, ⟨10.1214/17-EJP130⟩
Electronic Journal of Probability (23), 1-32. (2018)
Electron. J. Probab.
Electronic Journal of Probability, 2018, 23, pp.1-32. ⟨10.1214/17-EJP130⟩

In this work, we consider a finite-state inhomogeneous-time Markov chain whose probabilities of transition from one state to another tend to decrease over time. This can be seen as a cooling of the dynamics of an underlying Markov chain. We are inter

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23fe5f065e56a9652d91fcea8886d921

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