Mild mixing of certain interval-exchange transformations-Reference-Cited by-同舟云学术

Mild mixing of certain interval-exchange transformations

Published:2017-05-18 Issue:1 Volume:39 Page:248-256
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

ROBERTSON DONALD

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference20 articles.

1. The Metric Theory of Interval Exchange Transformations I. Generic Spectral Properties

2. Non topologically weakly mixing interval exchanges

3. Density of mild mixing property for vertical flows of Abelian differentials

4. Ratner’s property and mild mixing for smooth flows on surfaces

5. Schrödinger operators defined by interval-exchange transformations

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