Infinite measure mixing for some mechanical systems
Dynamical Systems
2021-05-18 v2
Abstract
We show that if an infinite measure preserving system is well approximated on most of the phase space by a system satisfying the local limit theorem, then the original system enjoys mixing with respect to global observables, that is, the observables which admit an infinite volume average. The systems satisfying our conditions include the Lorentz gas with Coulomb potential, the Galton board and piecewise smooth Fermi-Ulam pingpongs.
Cite
@article{arxiv.1812.01174,
title = {Infinite measure mixing for some mechanical systems},
author = {Dmitry Dolgopyat and Péter Nándori},
journal= {arXiv preprint arXiv:1812.01174},
year = {2021}
}