Affine interval exchange transformations with flips and wandering intervals-Reference-Cited by-同舟云学术

Affine interval exchange transformations with flips and wandering intervals

Published:2008-11-03 Issue:4 Volume:137 Page:1439-1445
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Gutierrez C.,Lloyd S.,Pires B.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2009-137-04/S0002-9939-08-09718-9/S0002-9939-08-09718-9.pdf

Reference19 articles.

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3. X. Bressaud, P. Hubert and A. Maass. Persistence of wandering intervals in self-similar affine interval exchange transformations. Preprint, arXiv:math.DS/08012088 (2007).

4. Affine interval exchange transformations with wandering intervals;Camelier, Ricardo;Ergodic Theory Dynam. Systems,1997

5. Piece-wise affine maps conjugate to interval exchanges;Cobo, Milton;Ergodic Theory Dynam. Systems,2002

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