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There exists a topologically mixing interval exchange transformation

Published online by Cambridge University Press:  24 May 2011

JON CHAIKA
JON CHAIKA*
Affiliation:
Department of Mathematics, Rice University, Houston, TX 77005, USA (email: jonchaika@math.uchicago.edu, Jonathan.M.Chaika@rice.edu)
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Abstract

We prove the existence of a topologically mixing interval exchange transformation and prove that no interval exchange is topologically mixing of all orders.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 3 , June 2012 , pp. 869 - 875
Copyright
Copyright © Cambridge University Press 2011

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