Work

Unique ergodicity for infinite area translation surfaces*

Year: 2025

Type: article

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.

Source: Nonlinearity

DOI: 10.1088/1361-6544/add3af

Authors: Alba Málaga Sabogal, Serge Troubetzkoy

Institutions: Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, Laboratoire Lorrain de Recherche en Informatique et ses Applications, Université de Lorraine, Aix-Marseille Université, Institut de Mathématiques de Marseille

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: INITIATIVE D'EXCELLENCE AIX MARSEILLE UNIVERSITE

OpenAlex ID: W4410600387

FWCI:

Cites: 27

Cited by:

Related to: 10