Work

Unique ergodicity of asynchronous rotations, and application

Year: 2025

Type: article

Abstract: The main result of this paper is an analogue for a continuous family of tori of Kronecker–Weyl’s unique ergodicity of irrational rotations. We show that the notion corresponding in this setup to irrationality, namely asynchronicity, is satisfied in some homogeneous dynamical systems. This is used to prove the ergodicity of naturals lifts of invariant measures.

Source: Annales de l’institut Fourier

DOI: 10.5802/aif.3718

Author: François Maucourant

Institutions: Institut de recherche mathématique de Rennes, Université de Rennes

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411373858

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Cites: 13

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