On the Hausdorff dimension of minimal interval exchange transformations with flips

DOI10.1112/jlms.12099zbMath1473.37050arXiv1510.02362OpenAlexW3121446383MaRDI QIDQ4638118

Alexandra Skripchenko, Serge E. Troubetzkoy

Publication date: 3 May 2018

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02362

zbMATH Keywords

Hausdorff dimensionperiodic pointsinterval exchange transformations

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05) Dimension theory of smooth dynamical systems (37C45)

Related Items (4)

Triangle Tiling Billiards and the Exceptional Family of their Escaping Trajectories: Circumcenters and Rauzy Gasket ⋮ Uniform perfectness for interval exchange transformations with or without flips ⋮ The limit set of non-orientable mapping class groups ⋮ Minimal non uniquely ergodic IETs with flips

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