Ergodic Properties of Compositions of Interval Exchange Maps and Rotations

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.

arXiv commentTo appear in Nonlinearity

Cited by in corpus (1)

• The Three Gap Theorem, Interval Exchange Transformations, and Zippered Rectangles