316 citations · 1.1k across the 44 of their papers we have counts for
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Harris-type results on geometric and subgeometric convergence to equilibrium for stochastic semigroups
José A. Cañizo, Stéphane Mischler
We provide simple and constructive proofs of Harris-type theorems on the existence and uniqueness of an equilibrium and the speed of equilibration of discrete-time and continuous-t…
Mean-field limit for the stochastic Vicsek model
François Bolley, José A. Cañizo, José A. Carrillo
We consider the continuous version of the Vicsek model with noise, proposed as a model for collective behavior of individuals with a fixed speed. We rigorously derive the kinetic m…
Stochastic Mean-Field Limit: Non-Lipschitz Forces \& Swarming
François Bolley, José Alfredo Cañizo, José Antonio Carrillo
We consider general stochastic systems of interacting particles with noise which are relevant as models for the collective behavior of animals, and rigorously prove that in the mea…