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Affine interval exchange transformations withwandering intervals

Published online by Cambridge University Press:  01 December 1997

RICARDO CAMELIER  and
CARLOS GUTIERREZ
RICARDO CAMELIER
Affiliation:
Inst. Militar de Engenharia, Praça General Tiburcio, 80, Urca, 22290-270, Rio de Janeiro, R.J., Brazil (e-mail: camelier@ime.eb.br)
CARLOS GUTIERREZ
Affiliation:
IMPA, Est. D. Castorina 110, J. Botânico, 22460-320, Rio de Janeiro, R.J., Brazil (e-mail: gutp@impa.br)
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Abstract

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There exist uniquely ergodic bijectiveaffine interval exchange transformations of $[0,1)$having wandering intervals and such that the support ofthe invariant measure is a Cantor set.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 6 , December 1997 , pp. 1315 - 1338
Copyright
1997 Cambridge University Press