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math.PR2025
Long-time propagation of chaos and exit times for metastable mean-field particle systems
Pierre Monmarché
Systems of stochastic particles evolving in a multi-well energy landscape and attracted to their barycenter is the prototypical example of mean-field process undergoing phase trans…
math.AP2025
L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states
Pierre Monmarché
In non-equilibrium statistical physics models, the invariant measure of the process does not have an explicit density. In particular the adjoint in of the genera…