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arXiv · 1604.06348

Weak-mixing polygonal billiards

Alba Málaga Sabogal·Serge Troubetzkoy
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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.

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Alba Málaga Sabogal, Serge Troubetzkoy. 2016-04-21. Weak-mixing polygonal billiards. https://doi.org/10.1112/blms.12011

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