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The entropy of ”strange” billiards inside \(n\)-simplexes. (English) Zbl 0870.58044

Summary: We investigate a new type of billiards defined inside \(n\)-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 \(n>2\).

MSC:

37A99 Ergodic theory
37E99 Low-dimensional dynamical systems
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