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math.PR2018★ 3 cited
Hypocoercivity in Wasserstein-1 for the kinetic Fokker-Planck equation via Malliavin Calculus
Josephine Evans
We study the kinetic Fokker-Planck equation on the whole space with a confining potential. We show quantitative rates of exponential convergence to equilibrium in a well chosen Was…
math.PR2015★ 3 cited
Convergence to equilibrium for the kinetic Fokker-Planck equation on the torus
Helge Dietert, Josephine Evans, Thomas Holding
We study convergence to equilibrium for the kinetic Fokker-Planck equation on the torus. Solving the stochastic differential equation, we show exponential convergence in the Monge-…