Ergodic infinite group extensions of geodesic flows on translation surfaces - Archive ouverte HAL Access content directly
Journal Articles Journal of modern dynamics Year : 2012

Ergodic infinite group extensions of geodesic flows on translation surfaces

Abstract

We show that generic infinite group extensions of geodesic flows on square tiled translation surfaces are ergodic in almost every direction, subject to certain natural constraints. Recently K. Fr\c{a}czek and C. Ulcigrai have shown that certain concrete staircases, covers of square-tiled surfaces, are not ergodic in almost every direction. In contrast we show the almost sure ergodicity of other concrete staircases. An appendix provides a combinatorial approach for the study of square-tiled surfaces.
Fichier principal
Vignette du fichier
ergodic-square-tiled.pdf (244.62 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00660902 , version 1 (18-01-2012)

Identifiers

Cite

David Ralston, Serge Troubetzkoy. Ergodic infinite group extensions of geodesic flows on translation surfaces. Journal of modern dynamics, 2012, pp.477-497. ⟨10.3934/jmd.2012.6.477⟩. ⟨hal-00660902⟩
236 View
157 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More