Ergodic properties of compositions of interval exchange maps and rotations

Jayadev S. Athreya, Michael Boshernitzan

Research output: Contribution to journalArticlepeer-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 ° Rα is uniquely ergodic, where Rα is rotation by α.

Original languageEnglish (US)
Pages (from-to)417-423
Number of pages7
JournalNonlinearity
Volume26
Issue number2
DOIs
StatePublished - Feb 2013

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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