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Billiards in polygons. (English) Zbl 0593.58016
This paper surveys the results on billiards in polygons, as a typical example for the parabolic case. (Elliptic and hyperbolic billiards will be discussed in a forthcoming survey paper by A. Katok and M. Wojtkowski.) The main questions of interest are ergodicity, topological transitivity and existence of periodic orbits.
The results on rational and almost integrable billiards are contained in section 4, those for irrational billiards in section 5.
Reviewer: M.Denker

##### MSC:
 37A99 Ergodic theory 28D10 One-parameter continuous families of measure-preserving transformations 54H20 Topological dynamics (MSC2010)
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##### References:
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