Ergodicity of skew products over linearly recurrent IETs

Donald Robertson; Jon Chaika

doi:10.1112/jlms.12210

Ergodicity of skew products over linearly recurrent IETs

Donald Robertson, Jon Chaika

Pure Mathematics

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Abstract

We prove that the skew product over a linearly recurrent interval exchange transformation defined by almost any real‐valued, mean‐zero linear combination of characteristic functions of intervals is ergodic with respect to Lebesgue measure.

Original language	English
Pages (from-to)	223-248
Journal	Journal of the London Mathematical Society
Volume	100
Issue number	1
Early online date	6 Feb 2019
DOIs	https://doi.org/10.1112/jlms.12210
Publication status	Published - Aug 2019

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title = "Ergodicity of skew products over linearly recurrent IETs",

abstract = "We prove that the skew product over a linearly recurrent interval exchange transformation defined by almost any real‐valued, mean‐zero linear combination of characteristic functions of intervals is ergodic with respect to Lebesgue measure.",

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JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

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Ergodicity of skew products over linearly recurrent IETs

Abstract

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