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math.AP2023
Exponential stability and hypoelliptic regularization for the kinetic Fokker-Planck equation with confining potential
Anton Arnold, Gayrat Toshpulatov
This paper is concerned with a modified entropy method to establish the large-time convergence towards the (unique) steady state, for kinetic Fokker-Planck equations with non-quadr…
math.AP2023
Sharp Decay of the Fisher Information for Degenerate Fokker-Planck Equations
Anton Arnold, Amit Einav, Tobias Wöhrer
The goal of this work is to find the sharp rate of convergence to equilibrium under the quadratic Fisher information functional for solutions to Fokker-Planck equations governed by…