On the Hausdorff dimension of minimal interval exchange transformations with flips-Reference-Cited by-同舟云学术

On the Hausdorff dimension of minimal interval exchange transformations with flips

Published:2018-01-26 Issue:2 Volume:97 Page:149-169
ISSN:0024-6107
Container-title:Journal of the London Mathematical Society
language:en
Short-container-title:J. London Math. Soc.

Author:

Skripchenko Alexandra¹²,Troubetzkoy Serge³⁴

Affiliation:

1. Laboratory of Algebraic Geometry and Its Applications; Faculty of Mathematics; National Research University Higher School of Economics; Usacheva St. 6 119048 Moscow Russia

2. Centre for Advanced Studies; Skolkovo Institute of Technology; Skolkovo Innovation Center; 143026 Moscow Russia

3. Aix Marseille University; CNRS; Centrale Marseille I2M Marseille France

4. I2M, Luminy Case 907 F-13288 Marseille cedex 9 France

Funder

Russian Science Foundation

Région Provence-Alpes-Côtes d'Azur

Publisher

Wiley

Subject

General Mathematics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1112/jlms.12099/fullpdf

Reference23 articles.

1. Minimality and the Rauzy-Veech algorithm for interval exchange transformations with flips;Hernández;Dyn. Syst.,2013

2. The Hausdorff dimension of non-uniquely ergodic directions in H(2) is almost everywhere 1/2;Athreya;Geom. Topol.,2015

3. Weak mixing direction in non-arithmetric Veech surfaces;Avila;J. Amer. Math. Soc.,2016

4. Weak mixing for interval exchange transformations and translation flows;Avila;Annals Math.,2007

5. Exponential mixing for Teichmüller flow;Avila;Publ. Math. IHÉS,2006

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