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}
}
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… 

Decay of Entropy and Information for multidimensional Kac models

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Loss School of Mathematics Georgia Institute of Technology Atlanta GA 30332 USA e-mail: bonetto@math