Affine interval exchange transformations with flips and wandering intervals

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

*Corresponding author for this work

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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.

Original languageEnglish
Pages (from-to)1439-1445
Number of pages7
JournalProceedings of the American Mathematical Society
Volume137
Issue number4
DOIs
Publication statusPublished - Apr 2009
Externally publishedYes

Cite this

Gutierrez, C., Lloyd, S., & Pires, B. (2009). Affine interval exchange transformations with flips and wandering intervals. Proceedings of the American Mathematical Society, 137(4), 1439-1445. https://doi.org/10.1090/S0002-9939-08-09718-9