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math.PR2019
Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces
Matthias Erbar, Max Fathi, André Schlichting
We consider non-linear evolution equations arising from mean-field limits of particle systems on discrete spaces. We investigate a notion of curvature bounds for these dynamics bas…
math.PR2018
Poincaré and log-Sobolev inequalities for mixtures
André Schlichting
This work studies mixtures of probability measures on and gives bounds on the Poincaré and the log-Sobolev constant of two-component mixtures provided that each comp…