Weak-mixing polygonal billiards

Abstract

We consider the set of polygons all of whose sides are vertical or horizontal with fixed combinatorics (for example all the figure "L"s). We show that there is a dense G $\delta$ subset of such polygons such that for each polygon in this G $\delta$ set the billiard flow is weakly-mixing in almost every direction.

Cited by in corpus (1)

• Mixing Property of Symmetrical Polygonal Billiards