126 citations · 619 across the 30 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.AP2019★ 15 cited
Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation
Pierre Gabriel, Hugo Martin
We are interested in a non-local partial differential equation modeling equal mitosis. We prove that the solutions present persistent asymptoticoscillations and that the convergenc…
math.PR2019★ 27 cited
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.AP2019★ 43 cited
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…