Unique ergodicity for infinite area translation surfaces<sup>*</sup>
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.
Authors
- Alba Málaga Sabogal (ORCID: https://orcid.org/0000-0003-0202-9635)
- Serge Troubetzkoy (ORCID: https://orcid.org/0000-0002-1411-2383)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Aix-Marseille Université (FR)
- Laboratoire Lorrain de Recherche en Informatique et ses Applications (FR)
- Institut Polytechnique de Bordeaux (FR)
- Université de Lorraine (FR)
Publication Details
- Journal
- Nonlinearity
- Published
- 2025-05-22
- DOI
- https://doi.org/10.1088/1361-6544/add3af
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00