98 citations · 979 across the 73 of their papers we have counts for
4 papers · 2 filters
Approach to the steady state in kinetic models with thermal reservoirs at different temperatures
Eric A. Carlen, Raffaelle Esposito, Joel L. Lebowitz +2
We continue the investigation of kinetic models of a system in contact via stochastic interactions with several spatially homogeneous thermal reservoirs at different temperatures.…
Entropy production inequalities for the Kac Walk
Eric A. Carlen, Maria C. Carvalho, Amit Einav
Mark Kac introduced what is now called 'the Kac Walk' with the aim of investigating the spatially homogeneous Boltzmann equation by probabilistic means. Much recent work, discussed…
A remainder term for Hölder's inequality for matrices and quantum entropy inequalities
Eric A. Carlen
We prove a sharp remainder term for Hölder's inequality for traces as a consequence of the uniform convexity properties of the Schatten trace norms. We then show how this implies a…
On a Quantum Entropy Power Inequality of Audenaert, Datta and Ozols
Eric A. Carlen, Elliott H. Lieb, Michael Loss
We give a short proof of a recent inequality of Audenaert, Datta and Ozols, and determine cases of equality.