4 papers
Probabilistic representation and limit theorems for particle numbers of quasi-free states
Fanch Coudreuse, Simone Rademacher, Oliver Tse
We study the particle number distribution of locally interacting bosonic quasi- free states, which arise in various areas of mathematical physics. We show that the particle number…
An Aronson-Bénilan / Li-Yau estimate in the JKO scheme in small dimension
Fanch Coudreuse
We derive an Aronson-Bénilan / Li-Yau estimate in the JKO scheme associated to the porous-medium, heat, and fast-diffusion equations, in dimensions and , and on simple domai…
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…
Li-Yau-Hamilton Inequality on the JKO Scheme for the Granular-Medium Equation
Fanch Coudreuse
We establish a version of the Li--Yau--Hamilton inequality for the Granular-Medium equation on the torus, both at the PDE level and for its time-discrete approximation given by the…