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The set of uniquely ergodic interval exchange transformations is path-connected

Published online by Cambridge University Press:  20 June 2017

JON CHAIKA  and
SEBASTIAN HENSEL
JON CHAIKA
Affiliation:
University of Utah, Department of Mathematics, 209 155 S 1400 E RM 233, Salt Lake City, UT, 84112-0090, USA email [email protected]
SEBASTIAN HENSEL
Affiliation:
Rheinische Friedrich-Wilhelms Universität Bonn, Mathematisches Institut, Endenicher Allee 60, 53115 Bonn, Germany email [email protected]
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Abstract

Let $\unicode[STIX]{x1D70B}$ be a non-degenerate permutation on at least four symbols. We show that the set of uniquely ergodic interval exchange transformations with permutation $\unicode[STIX]{x1D70B}$ is path-connected.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 2 , February 2019 , pp. 311 - 356
Copyright
© Cambridge University Press, 2017 

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