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Affine interval exchange transformations withwandering intervals

Published online by Cambridge University Press:  01 December 1997

RICARDO CAMELIER
Affiliation:
Inst. Militar de Engenharia, Praça General Tiburcio, 80, Urca, 22290-270, Rio de Janeiro, R.J., Brazil (e-mail: [email protected])
CARLOS GUTIERREZ
Affiliation:
IMPA, Est. D. Castorina 110, J. Botânico, 22460-320, Rio de Janeiro, R.J., Brazil (e-mail: [email protected])

Abstract

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

Type
Research Article
Copyright
1997 Cambridge University Press

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