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Advisor(s)
Abstract(s)
We show that there exists a C2-open dense set of convex bodies with smooth boundary whose billiard map exhibits a non-trivial hyperbolic basic set. As a consequence billiards in generic convex bodies have positive topological entropy and exponential growth of the number of periodic orbits.
Description
Keywords
Multidimensional billiards Topological entropy
Pedagogical Context
Citation
Publisher
Elsevier