Affine interval exchange transformations with flips and wandering intervals

Gutierrez, C.; Lloyd, S.; Pires, B.

doi:10.1090/S0002-9939-08-09718-9

Affine interval exchange transformations with flips and wandering intervals
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by C. Gutierrez, S. Lloyd and B. Pires PDF

Proc. Amer. Math. Soc. 137 (2009), 1439-1445 Request permission

Abstract:

There exist uniquely ergodic affine interval exchange transformations of [0,1] with flips which have wandering intervals and are such that the support of the invariant measure is a Cantor set.

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