On Sinaĭ Billiards on Flat Surfaces with Horns

Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed

Abstract

We show that certain billiard flows on planar billiard tables with horns can be modeled as suspension flows over Young towers (Ann. Math. 147:585-650, 1998) with exponential tails. This implies exponential decay of correlations for the billiard map. Because the height function of the suspension flow itself is polynomial when the horns are Torricelli-like trumpets, one can derive Limit Laws for the billiard flow, including Stable Limits if the parameter of the Torricelli trumpet is chosen in (1, 2).

OriginalspracheEnglisch
Aufsatznummer18
Seitenumfang17
FachzeitschriftJournal of Statistical Physics
Jahrgang183
Ausgabenummer2
DOIs
PublikationsstatusVeröffentlicht - Mai 2021

ÖFOS 2012

  • 101027 Dynamische Systeme

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