Athreya, Jayadev SBoshernitzan, Michael2013-09-132013-09-132012Athreya, Jayadev S and Boshernitzan, Michael. "Ergodic properties of compositions of interval exchange maps and rotations." <i>Nonlinearity,</i> 26, (2012) IOP Publishing: 417-423. http://dx.doi.org/10.1088/0951-7715/26/2/417.https://hdl.handle.net/1911/71902We 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.engThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by IOP Publishing.Ergodic properties of compositions of interval exchange maps and rotationsJournal articlehttp://dx.doi.org/10.1088/0951-7715/26/2/417