Topological entropy of generalized Bunimovich stadium billiards

Michał Misiurewicz and Hong-Kun Zhang

Abstract

We estimate from below the topological entropy of the generalized Bunimovich stadium billiards. We do it for long billiard tables, and find the limit of estimates as the length goes to infinity. We also get estimates for some shorter tables. We repeat this for generalized semistadium billiards, including the mushroom ones.