The Lagrange spectrum of a Veech surface has a Hall ray

DOI10.4171/GGD/384zbMath1416.11122arXiv1409.7023MaRDI QIDQ515285

Luca Marchese, Mauro Artigiani, Corinna Ulcigrai

Publication date: 13 March 2017

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7023

zbMATH Keywords

Lagrange spectrumboundary expansionsHall rayVeech surfaces

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Markov and Lagrange spectra and generalizations (11J06) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (8)

Some arithmetical aspects of renormalization in Teichmüller dynamics: on the occasion of Corinna Ulcigrai winning the Brin Prize ⋮ The Lagrange spectrum of some square-tiled surfaces ⋮ On the Lagrange and Markov dynamical spectra for geodesic flows on surfaces with negative curvature ⋮ Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces ⋮ Long hitting time for translation flows and L-shaped billiards ⋮ On the Lagrange and Markov dynamical spectra for Anosov flows in dimension 3 ⋮ ON GOOD APPROXIMATIONS AND THE BOWEN–SERIES EXPANSION ⋮ Lagrange spectra in Teichmüller dynamics via renormalization

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