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.
Original language | English (US) |
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Pages (from-to) | 1287-1337 |
Number of pages | 51 |
Journal | Groups, Geometry, and Dynamics |
Volume | 10 |
Issue number | 4 |
DOIs | |
State | Published - 2016 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Discrete Mathematics and Combinatorics