We study Lagrange spectra of Veech translation surfaces, which are a generalization of the classical Lagrange spectrum. We show that any such Lagrange spectrum contains a Hall ray. As a main tool, we use the boundary expansion developed by Bowen and Series to code geodesics in the corresponding Teichmüller disk and prove a formula which allows to express large values in the Lagrange spectrum as sums of Cantor sets.

Artigiani M., Marchese L., Ulcigrai C. (2016). The Lagrange spectrum of a Veech surface has a Hall ray. GROUPS, GEOMETRY, AND DYNAMICS, 10(4), 1287-1337 [10.4171/GGD/384].

The Lagrange spectrum of a Veech surface has a Hall ray

Marchese L.;
2016

Abstract

We study Lagrange spectra of Veech translation surfaces, which are a generalization of the classical Lagrange spectrum. We show that any such Lagrange spectrum contains a Hall ray. As a main tool, we use the boundary expansion developed by Bowen and Series to code geodesics in the corresponding Teichmüller disk and prove a formula which allows to express large values in the Lagrange spectrum as sums of Cantor sets.
2016
Artigiani M., Marchese L., Ulcigrai C. (2016). The Lagrange spectrum of a Veech surface has a Hall ray. GROUPS, GEOMETRY, AND DYNAMICS, 10(4), 1287-1337 [10.4171/GGD/384].
Artigiani M.; Marchese L.; Ulcigrai C.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/739220
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