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Almost all interval exchange transformations with flips are nonergodic†

Published online by Cambridge University Press:  19 September 2008

Arnaldo Nogueira
Arnaldo Nogueira
Affiliation:
Institute de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, 21944 Rio de Janeiro, RJ, Brasil
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Abstract

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Here we prove that almost all interval exchange transformations which reverse orientation, in at least one interval, have a periodic point where the derivative is − 1. Therefore they are periodic in an open neighborhood of the periodic point.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 9 , Issue 3 , September 1989 , pp. 515 - 525
Copyright
Copyright © Cambridge University Press 1989

References

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