Preprints, Working Papers, ... Year : 2023

Unique ergodicity for infinite area Translation Surfaces

Abstract

We consider infinite staircase translation surfaces with varying step sizes. We show that for typical step sizes, up to scaling, the translation flow has a unique invariant, non-atomic, ergodic Radon measure in almost every direction.
Fichier principal
Vignette du fichier
Unique_ergodicity.pdf (443.31 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Licence

Dates and versions

hal-02265283 , version 1 (09-08-2019)
hal-02265283 , version 2 (21-07-2023)

Licence

Identifiers

Cite

Alba Marina Málaga Sabogal, Serge Troubetzkoy. Unique ergodicity for infinite area Translation Surfaces. 2023. ⟨hal-02265283v2⟩
226 View
217 Download

Altmetric

Share

More