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Affine interval exchange transformations with flips and wandering intervals
Author(s):
C.
Gutierrez;
S.
Lloyd;
B.
Pires
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1439-1445.
MSC (2000):
Primary 37E05, 37E10;
Secondary 37Bxx
Posted:
November 3, 2008
MathSciNet review:
2465670
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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.
References:
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- 6.
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- 8.
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- 9.
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- 10.
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- 11.
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- 12.
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Additional Information:
C.
Gutierrez
Affiliation:
Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos - SP, Brazil
Email:
gutp@icmc.usp.br
S.
Lloyd
Affiliation:
School of Mathematics and Statistics, University of New South Wales, Sydney, NSW, Australia
Email:
s.lloyd@unsw.edu.au
B.
Pires
Affiliation:
Departamento de Física e Matemática, Faculdade de Filosofia, Ciências e Letras da Universidade de São Paulo, Ribeirão Preto - SP, Brazil
Email:
benito@ffclrp.usp.br
DOI:
10.1090/S0002-9939-08-09718-9
PII:
S 0002-9939(08)09718-9
Received by editor(s):
February 28, 2008, and, revised form, May 31, 2008
Posted:
November 3, 2008
Additional Notes:
The first author was partially supported by FAPESP Grant 03/03107-9 and by CNPq Grants 470957/2006-9 and 306328/2006-2.
Communicated by:
Jane M. Hawkins
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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