Ergodic properties of compositions of interval exchange maps and rotations

Jayadev S. Athreya; Michael Boshernitzan

doi:10.1088/0951-7715/26/2/417

Ergodic properties of compositions of interval exchange maps and rotations

Jayadev S. Athreya
, Michael Boshernitzan

Research output: Contribution to journal › Article › peer-review

Abstract

We study the ergodic properties of compositions of interval exchange transformations (IETs) and rotations. We show that for any IET T, there is a full measure set of α ∈ [0, 1) so that T ° R_α is uniquely ergodic, where R_α is rotation by α.

Original language	English (US)
Pages (from-to)	417-423
Number of pages	7
Journal	Nonlinearity
Volume	26
Issue number	2
DOIs	https://doi.org/10.1088/0951-7715/26/2/417
State	Published - Feb 2013
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/0951-7715/26/2/417

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abstract = "We study the ergodic properties of compositions of interval exchange transformations (IETs) and rotations. We show that for any IET T, there is a full measure set of α ∈ [0, 1) so that T ° Rα is uniquely ergodic, where Rα is rotation by α.",

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AB - We study the ergodic properties of compositions of interval exchange transformations (IETs) and rotations. We show that for any IET T, there is a full measure set of α ∈ [0, 1) so that T ° Rα is uniquely ergodic, where Rα is rotation by α.

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M3 - Article

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JO - Nonlinearity

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Ergodic properties of compositions of interval exchange maps and rotations

Abstract

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