The Khinchin theorem for interval-exchange transformations

DOI10.3934/jmd.2011.5.123zbMath1219.37005arXiv1003.5883OpenAlexW2080527678MaRDI QIDQ550318

Luca Marchese

Publication date: 8 July 2011

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5883

zbMATH Keywords

Diophantine conditionsTeichmüller dynamicsRauzy-Veech inductioninterval-exchange transformations

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Dynamical systems involving maps of the interval (37E05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (5)

Quantitative shrinking target properties for rotations and interval exchanges ⋮ A shrinking target theorem for ergodic transformations of the unit interval ⋮ Dynamics and ``arithmetics of higher genus surface flows ⋮ Khinchin type condition for translation surfaces and asymptotic laws for the Teichmuller flow ⋮ Lagrange spectra in Teichmüller dynamics via renormalization

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