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Journal Articles Bulletin of the London Mathematical Society Year : 2017

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 δ subset of such polygons such that for each polygon in this G δ set the billiard flow is weakly-mixing in almost every direction.
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Dates and versions

hal-01304088 , version 1 (19-04-2016)

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Alba Málaga Sabogal, Serge Troubetzkoy. WEAK-MIXING POLYGONAL BILLIARDS. Bulletin of the London Mathematical Society, 2017, ⟨10.1112/blms.12011⟩. ⟨hal-01304088⟩
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