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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…
math.AP2023
Convergence to equilibrium for a degenerate McKean-Vlasov Equation
Manh Hong Duong, Amit Einav
In this work we study the convergence to equilibrium for a (potentially) degenerate nonlinear and nonlocal McKean-Vlasov equation. We show that the solution to this equation is rel…
math.AP2023
The Entropic journey of Kac's Model
Amit Einav
The goal of this paper is to review the advances that were made during the last few decades in the study of the entropy, and in particular the entropy method, for Kac's many partic…