The Lagrange spectrum of a Veech surface has a Hall ray Academic Article


  • Groups, Geometry, and Dynamics


  • 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.

publication date

  • 2016-1-1


  • 10


  • Cantor set
  • Express
  • Generalization
  • Geodesic
  • Half line
  • Lagrange
  • Series

International Standard Serial Number (ISSN)

  • 1661-7207

number of pages

  • 51

start page

  • 1287

end page

  • 1337