The entropy of ``strange'' billiards inside n-simplexes
Thomas Schürmann, Ingo Hoffmann
Abstract
In the present work we investigate a new type of billiards defined inside of n--simplex regions. We determine an invariant ergodic (SRB) measure of the dynamics for any dimension. In using symbolic dynamics, the (KS or metric) entropy is computed and we find that the system is chaotic for all cases n>2.
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