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arXiv:1210.5013 [math.DS]AbstractReferencesReviewsResources

Ergodic Properties of Compositions of Interval Exchange Maps and Rotations

Jayadev S. Athreya, Michael Boshernitzan

Published 2012-10-18, updated 2012-12-12Version 2

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 \alpha in [0, 1) so that T composed with R_{\alpha} is uniquely ergodic, where R_{\alpha} is rotation by \alpha.

Comments: To appear in Nonlinearity
Journal: Nonlinearity 26 (2013) 417-423
Categories: math.DS, math.GT
Subjects: 37E05, 37E35
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