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arxiv: chao-dyn/9503005 · v1 · submitted 1995-03-17 · chao-dyn · nlin.CD

The entropy of ``strange'' billiards inside n-simplexes

classification chao-dyn nlin.CD
keywords billiardsdynamicsentropyinsidecaseschaoticcomputeddefined
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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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