13 citations · 23 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
A Probabilistic Look at Conservative Growth-Fragmentation Equations
Florian Bouguet
In this note, we consider general growth-fragmentation equations from a probabilistic point of view. Using Foster-Lyapunov techniques, we study the recurrence of the associated Mar…
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…
Long time behavior of Markov processes and beyond
Florian Bouguet, Florent Malrieu, Fabien Panloup +2
This note provides several recent progresses in the study of long time behavior of Markov processes. The examples presented below are related to other scientific fields as PDE's, p…
Quantitative speeds of convergence for exposure to food contaminants
Florian Bouguet
In this paper we consider a class of piecewise-deterministic Markov processes (PDMPs) modeling the quantity of a given food contaminant in the body. On the one hand, the amount of…