98 citations · 979 across the 73 of their papers we have counts for
85 papers
Spectral Gap for the Stochastic Exchange Model
Eric A. Carlen, Gustavo Posta, Imre Péter Tóth
We prove a spectral gap inequality for the stochastic exchange model studied by Gaspard and Gilbert and by Grigo, Khanin and Szász in connection with understanding heat conduction…
A Jensen inequality for partial traces and applications to partially semiclassical limits
Eric A. Carlen, Rupert L. Frank, Simon Larson
We prove a matrix inequality for convex functions of a Hermitian matrix on a bipartite space. As an application we reprove and extend some theorems about eigenvalue asymptotics of…
On an inequality of Lin, Kim and Hsieh and Strong Subadditivity
Eric A. Carlen, Michael P. Loss
We give an elementary proof of an inequality of Lin, Kim and Hsieh that implies strong subadditivity of the non Neumann entropy.
Connecting the Deep Quench Obstacle Problem with Surface Diffusion via their Steady States
Eric A. Carlen, Amy Novick-Cohen, Lydia Peres Hari
In modeling phase transitions, it is useful to be able to connect diffuse interface descriptions of the dynamics with corresponding limiting sharp interface motions. In the case of…
Stability for the logarithmic Hardy-Littlewood-Sobolev Inequality with application to the Keller-Segel system
Eric A. Carlen
We apply a duality method to prove an optimal stability theorem for the logarithmic Hardy-Littlewood-Sobolev inequality, and we apply it to the estimation of the rate of approach t…
Dynamics and Quantum Optimal Transport: Three lectures on quantum entropy and quantum Markov semigroups
Eric Carlen
This document presents the contents of three lectures delivered by the author at the Erdős Center School ``Optimal Transport on Quantum Structures'', Septemer 19-23, 2022 in Budape…