Linear random walks on the torus

Weikun He; Nicolas de Saxcé

doi:10.1215/00127094-2021-0045

Abstract

We prove a quantitative equidistribution result for linear random walks on the torus, similar to a theorem of Bourgain, Furman, Lindenstrauss and Mozes, but without any proximality assumption.

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Weikun He. Nicolas de Saxcé. "Linear random walks on the torus." Duke Math. J. 171 (5) 1061 - 1133, 1 April 2022. https://doi.org/10.1215/00127094-2021-0045

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Received: 30 October 2019; Revised: 29 November 2020; Published: 1 April 2022

First available in Project Euclid: 22 March 2022

MathSciNet: MR4402559

zbMATH: 1518.37005

Digital Object Identifier: 10.1215/00127094-2021-0045

Subjects:

Primary: 37A17

Secondary: 11B75 , 11L07 , 20G30 , 37A45

Keywords: equidistribution , Random walk , sum-product , toral automorphism

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