Diophantine approximations for translation surfaces and planar resonant sets

DOI10.4171/CMH/434zbMath1393.37046arXiv1502.05007OpenAlexW2962991527MaRDI QIDQ1645341

Luca Marchese, Rodrigo Treviño, Steffen Weil

Publication date: 28 June 2018

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05007

zbMATH Keywords

resonant setexcursions of geodesicsJarník inequalityKhinchin-Jarník theorem

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Markov and Lagrange spectra and generalizations (11J06) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (4)

Divergent on average directions of Teichmüller geodesic flow ⋮ Singularity of the spectrum for smooth area-preserving flows in genus two and translation surfaces well approximated by cylinders ⋮ Equidistribution of saddle connections on translation surfaces ⋮ Long hitting time for translation flows and L-shaped billiards

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