Pierre Monmarché

activity

20202026

most citedLogarithmic Sobolev inequalities for non-equilibrium steady states

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2026

Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies

Pierre Monmarché

We show that the mean-field underdamped Langevin process (associated to the non-linear Vlasov-Fokker-Planck equation) achieves a Nesterov acceleration with respect to the Wasserste…

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 $R^{d}$ . Application to generalised Langevin diffusions

Pierre Monmarché

In the case of diffusions on $R^{d}$ with constant diffusion matrix, without assuming reversibility nor hypoellipticity, we prove that the contractivity of the deterministic…

Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies

Logarithmic Sobolev inequalities for non-equilibrium steady states

Almost sure contraction for diffusions on Rd. Application to generalised Langevin diffusions

Almost sure contraction for diffusions on $R^{d}$ . Application to generalised Langevin diffusions