English

Billiard Dynamics: An Updated Survey with the Emphasis on Open Problems

Dynamical Systems 2013-01-14 v1 Mathematical Physics math.MP

Abstract

This is an updated and expanded version of our earlier survey article \cite{Gut5}. Section §1\S 1 introduces the subject matter. Sections §2§4\S 2 - \S 4 expose the basic material following the paradigm of elliptic, hyperbolic and parabolic billiard dynamics. In section §5\S 5 we report on the recent work pertaining to the problems and conjectures exposed in the survey \cite{Gut5}. Besides, in section §5\S 5 we formulate a few additional problems and conjectures. The bibliography has been updated and considerably expanded.

Keywords

Cite

@article{arxiv.1301.2547,
  title  = {Billiard Dynamics: An Updated Survey with the Emphasis on Open Problems},
  author = {Eugene Gutkin},
  journal= {arXiv preprint arXiv:1301.2547},
  year   = {2013}
}
R2 v1 2026-06-21T23:08:00.203Z