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.
The Lagrange spectrum of a Veech surface has a Hall ray / Artigiani M.; Marchese L.; Ulcigrai C.. - In: GROUPS, GEOMETRY, AND DYNAMICS. - ISSN 1661-7207. - STAMPA. - 10:4(2016), pp. 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.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
