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math.AP2023
On a Vlasov-Fokker-Planck equation for stored electron beams
Ludovic Cesbron, Maxime Herda
In this paper we study a self-consistent Vlasov-Fokker-Planck equations which describes the longitudinal dynamics of an electron bunch in the storage ring of a synchrotron particle…
math.PR2023
Wasserstein contraction for the stochastic Morris-Lecar neuron model
Maxime Herda, Pierre Monmarché, Benoît Perthame
Neuron models have attracted a lot of attention recently, both in mathematics and neuroscience. We are interested in studying long-time and large-population emerging properties in…