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math.AP2026
Generalized Logarithmic Sobolev Inequality by the JKO Scheme
Thibault Caillet, Fanch Coudreuse
Using a discrete Bakry-{É}mery method based on the JKO scheme, relying on the dissipation of entropy and Fisher information along a discrete flow, we establish new generalized loga…
math.AP2022
The five gradients inequality for non quadratic costs
Thibault Caillet
We give a proof of the "five gradients inequality" of Optimal Transportation Theory for general costs of the form where is a strictly convex radially symm…