3 papers
math.PR2019
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…
math.AP2018
Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate
Etienne Bernard, Pierre Gabriel
The objective is to prove the asynchronous exponential growth of the growth-fragmentation equation in large weighted spaces and under general assumptions on the coefficients.…
math.AP2018
Steady distribution of the incremental model for bacteria proliferation
Pierre Gabriel, Hugo Martin
We study the mathematical properties of a model of cell division structured by two variables, the size and the size increment, in the case of a linear growth rate and a self-simila…