# Decay of Information for the Kac Evolution

@article{Bonetto2020DecayOI,
title={Decay of Information for the Kac Evolution},
author={F. Bonetto and Rui Han and M. Loss},
journal={Annales Henri Poincar{\'e}},
year={2020},
volume={22},
pages={2975 - 2993}
}
• Published 3 November 2020
• Mathematics
• Annales Henri Poincaré
We consider a system of M particles in contact with a heat reservoir of N≫M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N\gg M$$\end{document} particles. The evolution in the system and the reservoir, together with their interaction, is modeled via the Kac’s master equation. We chose the initial distribution with…
We study the approach to equilibrium of systems of gas particles in terms of relative entropy. The systems are modeled by the Kac master equation in arbitrary dimensions. First, we study the Kac

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