On mixing flows on finite-area translation surfaces

Abstract We construct an explicit family of finite-area, infinite-genus translation surfaces whose vertical translation flow is strongly mixing. This provides a positive answer to a question posed by Lindsey and Treviño [ Discrete Contin. Dyn. Syst. 36 (10) (2016), 5509–5553].

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Publication Details

Journal
Ergodic Theory and Dynamical Systems
Published
2026-05-22
DOI
https://doi.org/10.1017/etds.2026.10306
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
0.00

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article

On mixing flows on finite-area translation surfaces

ERICK GORDILLO HERRERÍAS
Ergodic Theory and Dynamical Systems
Mathematical Dynamics and Fractals
article

On mixing flows on finite-area translation surfaces

ERICK GORDILLO HERRERÍAS
article en

Abstract

Abstract We construct an explicit family of finite-area, infinite-genus translation surfaces whose vertical translation flow is strongly mixing. This provides a positive answer to a question posed by Lindsey and Treviño [ Discrete Contin. Dyn. Syst. 36 (10) (2016), 5509–5553].

Ergodic Theory and Dynamical Systems
Heidelberg University (DE), Heidelberg University (US)
Deutsche Forschungsgemeinschaft
Reduced inequalities
Openalex Percentile: Top 3%
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
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