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math.AP2022
Decay rates of convergence for Fokker-Planck equations with confining drift
Alessio Porretta
We consider Fokker-Planck equations in the whole Euclidean space, driven by Levy processes, under the action of confining drifts, as in the classical Ornstein-Ulhenbeck model. We i…
math.AP2022
Regularizing effects of the entropy functional in optimal transport and planning problems
Alessio Porretta
We analyze optimal transport problems with additional entropic cost evaluated along curves in the Wasserstein space which join two probability measures . The effect of the…