Ergodic Properties of Compositions of Interval Exchange Maps and Rotations

preprint2012arXivOpen access

Abstract

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

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