Ergodic Properties of Compositions of Interval Exchange Maps and   Rotations
  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. 
Jayadev S. Athreya and Michael Boshernitzan
math.DS math.GT