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math.PR2023★ 1 cited
Logarithmic Sobolev inequalities for non-equilibrium steady states
Pierre Monmarché, Songbo Wang
We consider two methods to establish log-Sobolev inequalities for the invariant measure of a diffusion process when its density is not explicit and the curvature is not positive ev…
math.PR2020
Almost sure contraction for diffusions on . Application to generalised Langevin diffusions
Pierre Monmarché
In the case of diffusions on with constant diffusion matrix, without assuming reversibility nor hypoellipticity, we prove that the contractivity of the deterministic…