Ergodicity for infinite periodic translation surfaces

Pascal Hubert; Barak Weiss

doi:https://doi.org/10.1112/S0010437X12000887

Ergodicity for infinite periodic translation surfaces

Pascal Hubert, Barak Weiss

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

For a Z -cover widetilde M rightarrow M of a translation surface, which is a lattice surface, and which admits infinite strips, we prove that almost every direction for the straightline flow is ergodic.

Original language	American English
Pages (from-to)	1364-1380
Number of pages	17
Journal	Compositio Mathematica
Volume	149
Issue number	8
DOIs	https://doi.org/10.1112/S0010437X12000887
State	Published - 1 Aug 2013

Keywords

ergodicity
infinite
periodic
translation surfaces

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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https://doi.org/10.1112/S0010437X12000887

Cite this

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abstract = "For a Z -cover widetilde M rightarrow M of a translation surface, which is a lattice surface, and which admits infinite strips, we prove that almost every direction for the straightline flow is ergodic.",

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Ergodicity for infinite periodic translation surfaces

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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