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C^1-generic billiard tables have a dense set of periodic points

Dynamical Systems 2015-06-22 v1

Abstract

We prove that the set of periodic points of a generic C^1-billiard table is dense in the phase space.

Keywords

Cite

@article{arxiv.1409.5201,
  title  = {C^1-generic billiard tables have a dense set of periodic points},
  author = {Marie-Claude Arnaud},
  journal= {arXiv preprint arXiv:1409.5201},
  year   = {2015}
}

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6 pages