Ergodicity for infinite periodic translation surfaces

Pascal Hubert; Barak Weiss

doi:10.1112/S0010437X12000887

Ergodicity for infinite periodic translation surfaces

Pascal Hubert, Barak Weiss

Department of Mathematics

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

20 Scopus citations

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	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

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1112/S0010437X12000887

Cite this

@article{a9381ffa6efc4d9796445d71afff6e11,

title = "Ergodicity for infinite periodic translation surfaces",

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.",

keywords = "ergodicity, infinite, periodic, translation surfaces",

author = "Pascal Hubert and Barak Weiss",

year = "2013",

month = aug,

day = "1",

doi = "10.1112/S0010437X12000887",

language = "English",

volume = "149",

pages = "1364--1380",

journal = "Compositio Mathematica",

issn = "0010-437X",

publisher = "Cambridge University Press",

number = "8",

}

TY - JOUR

T1 - Ergodicity for infinite periodic translation surfaces

AU - Hubert, Pascal

AU - Weiss, Barak

PY - 2013/8/1

Y1 - 2013/8/1

N2 - 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.

AB - 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.

KW - ergodicity

KW - infinite

KW - periodic

KW - translation surfaces

UR - https://www.scopus.com/pages/publications/84882362619

U2 - 10.1112/S0010437X12000887

DO - 10.1112/S0010437X12000887

M3 - Article

AN - SCOPUS:84882362619

SN - 0010-437X

VL - 149

SP - 1364

EP - 1380

JO - Compositio Mathematica

JF - Compositio Mathematica

IS - 8

ER -

Ergodicity for infinite periodic translation surfaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this