Saved in:
Bibliographic Details
Main Authors: De Blasi, Irene, Takeuchi, Airi, Terracini, Susanna
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.17132
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • This paper deals with the so-called Boltzmann billiard, that is, a billiard subjected to a central force of the type $V(r)=-α/r-β/r^2$, $α$ and $β$ being positive constants, and with a straight reflection table. In the particular case of $α$ and $β$ positive, we prove the presence of a symbolic dynamics, and hence of positive topological entropy, at positive energy and for $β$ sufficiently small.