109 citations · 348 across the 24 of their papers we have counts for
27 papers
The principal eigenvalue problem for time-periodic nonlocal equations with drift
Bertrand Cloez, Adil El Abdouni, Pierre Gabriel
In this work, we consider a general time-periodic linear transport equation with integral source term. We prove the existence of a Floquet principal eigenvalue, namely a real numbe…
Recent advances in the long-time analysis of killed degenerate processes and their particle approximation
Bertrand Cloez, Lucas Journel, Pierre Monmarché +2
We review some recent results of quantitative long-time convergence for the law of a killed Markov process conditioned to survival toward a quasi-stationary distribution, and on th…
Kalman filter with impulse noised outliers : A robust sequential algorithm to filter data with a large number of outliers
Bertrand Cloez, Bénédicte Fontez, Eliel González García +1
Impulsed noise outliers are data points that differs significantly from other observations.They are generally removed from the data set through local regression or Kalman filter al…
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…
Fast, slow convergence, and concentration in the house of cards replicator-mutator model
Bertrand Cloez, Pierre Gabriel
We propose a fine analysis of the various possible long time behaviours of the solutions of the replicator-mutator equation with so-called Kingman's house of cards mutations. In pa…
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…
From the distributions of times of interactions to preys and predators dynamical systems
Vincent Bansaye, Bertand Cloez
We consider a stochastic individual based model where each predator searches during a random time and then manipulates its prey or rests. The time distributions may be non-exponent…
Long-time behavior and darwinian optimality for an asymmetric size-structured branching process
Bertrand Cloez, Benoîte de Saporta, Tristan Roget
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…
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…
A non-conservative Harris ergodic theorem
Vincent Bansaye, Bertrand Cloez, Pierre Gabriel +1
We consider non-conservative positive semigroups and obtain necessary and sufficient conditions for uniform exponential contraction in weighted total variation norm. This ensures t…
Galton-Watson process and bayesian inference: A turnkey method for the viability study of small populations
B Cloez, T Daufresne, M Kerioui +1
1 Sharp prediction of extinction times is needed in biodiversity monitoring and conservation management. 2 The Galton-Watson process is a classical stochastic model for describing…
Efficient Matrix Profile Computation Using Different Distance Functions
Reza Akbarinia, Bertrand Cloez
Matrix profile has been recently proposed as a promising technique to the problem of all-pairs-similarity search on time series. Efficient algorithms have been proposed for computi…
Optimal stopping for measure-valued piecewise deterministic Markov processes
Bertrand Cloez, Benoîte de Saporta, Maud Joubaud
This paper investigates the random horizon optimal stopping problem for measure-valued piecewise deterministic Markov processes (PDMPs). This is motivated by population dynamics ap…
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…
Ergodic behavior of non-conservative semigroups via generalized Doeblin's conditions
Vincent Bansaye, Bertrand Cloez, Pierre Gabriel
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 cons…
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…
Fluctuations of the Empirical Measure of Freezing Markov Chains
Florian Bouguet, Bertrand Cloez
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…
Intertwinings and Stein's magic factors for birth-death processes
Bertrand Cloez, Claire Delplancke
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…
Gaussian approximations for chemostat models in finite and infinite dimensions
Bertrand Cloez, Coralie Fritsch
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 individ…
Stochastic approximation of quasi-stationary distributions on compact spaces and applications
Michel Benaim, Bertrand Cloez, Fabien Panloup
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 d…
Fleming-Viot processes : two explicit examples
Bertrand Cloez, Marie-Noémie Thai
The purpose of this paper is to extend the investigation of the Fleming-Viot process in discrete space started in a previous work to two specific examples. The first one correspond…
Ergodicity of inhomogeneous Markov chains through asymptotic pseudotrajectories
Michel Benaïm, Florian Bouguet, Bertrand Cloez
In this work, we consider an inhomogeneous (discrete time) Markov chain and are interested in its long time behavior. We provide sufficient conditions to ensure that some of its as…
A stochastic approximation approach to quasi-stationary distributions on finite spaces
Michel Benaïm, Bertrand Cloez
This work is concerned with the analysis of a stochastic approximation algorithm for the simulation of quasi-stationary distributions on finite state spaces. This is a generalizati…
Quantitative results for the Fleming-Viot Particle system and quasi-stationary distributions in discrete space
Bertrand Cloez, Marie-Noémie Thai
We show, for a class of discrete Fleming-Viot (or Moran) type particle systems, that the convergence to the equilibrium is exponential for a suitable Wassertein coupling distance.…