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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.17132 |
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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.