6 citations · 9 across the 6 of their papers we have counts for
7 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…
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…
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…
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…