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Mild mixing of certain interval-exchange transformations

Published online by Cambridge University Press:  18 May 2017

DONALD ROBERTSON
DONALD ROBERTSON*
Affiliation:
Department of Mathematics, University of Utah, 155 South 1400 East, Salt Lake City, UT 84112, USA email [email protected]
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Abstract

We prove that irreducible, linearly recurrent, type W interval-exchange transformations are always mild mixing. For every irreducible permutation, the set of linearly recurrent interval-exchange transformations has full Hausdorff dimension.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 1 , January 2019 , pp. 248 - 256
Copyright
© Cambridge University Press, 2017 

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