Affine interval exchange transformations with flips and wandering intervals

C. Gutierrez; S. Lloyd; B. Pires

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

Affine interval exchange transformations with flips and wandering intervals

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 language	English
Pages (from-to)	1439-1445
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	137
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-08-09718-9
Publication status	Published - Apr 2009
Externally published	Yes

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title = "Affine interval exchange transformations with flips and wandering intervals",

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.",

author = "C. Gutierrez and S. Lloyd and B. Pires",

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AU - Gutierrez, C.

AU - Lloyd, S.

AU - Pires, B.

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N2 - 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.

AB - 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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DO - 10.1090/S0002-9939-08-09718-9

M3 - Article

AN - SCOPUS:77950528388

SN - 0002-9939

VL - 137

SP - 1439

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

Affine interval exchange transformations with flips and wandering intervals

Abstract

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