The billiard ball problem and rotation numbers

Details The billiard ball problem and rotation numbers The billiard ball problem and rotation numbers

2009-02-24

arxiv.org/abs/0902.4172v1

Mathematics

Dynamical Systems

Scientific paper

We introduce the concepts of rotation numbers and rotation vectors for
billiard maps. Our approach is based on the birkhoff ergodic theorem. We
anticipate that it will be useful, in particular, for the purpose of
establishing the non-ergodicity of billiard in certain domains.

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