230 citations · 1.3k across the 68 of their papers we have counts for
4 papers · 1 filter
How to construct decay rates for kinetic Fokker--Planck equations?
Giovanni Brigati, Gabriel Stoltz
We study time averages for the norm of solutions to kinetic Fokker--Planck equations associated with general Hamiltonians. We provide fully explicit and constructive decay estimate…
Computational statistical physics and hypocoercivity
Gabriel Stoltz
This note provides an introduction to molecular dynamics, the computational implementation of the theory of statistical physics. The discussion is focused on the properties of Lang…
Hypocoercivity with Schur complements
E. Bernard, M. Fathi, A. Levitt +1
We propose an approach to obtaining explicit estimates on the resolvent of hypocoercive operators by using Schur complements, rather than from an exponential decay of the evolution…
Long-time convergence of an Adaptive Biasing Force method
Tony Lelievre, Felix Otto, Mathias Rousset +1
We propose a proof of convergence of an adaptive method used in molecular dynamics to compute free energy profiles. Mathematically, it amounts to studying the long-time behavior of…