Topological entropy of Bunimovich stadium billiards

TL;DR

This paper estimates the lower bound of the topological entropy for Bunimovich stadium billiards, analyzing how it behaves as the stadium length increases, providing insights into the system's chaotic dynamics.

Contribution

It introduces a method to estimate the lower bound of topological entropy for long Bunimovich stadium billiards and studies its asymptotic behavior.

Findings

Lower bounds for topological entropy increase with stadium length

Limit of entropy estimates exists as length approaches infinity

Provides quantitative measures of chaos in stadium billiards

Abstract

We estimate from below the topological entropy of the Bunimovich stadium billiards. We do it for long billiard tables, and find the limit of estimates as the length goes to infinity.