Some aspects of diophantine approximation and ergodic theory of translation surfaces

This thesis deals with two different topics. In the first part we study Lagrange spectra of Veech translation surfaces, which are a generalisation of the classical Lagrange spectrum. We show that any such Lagrange spectrum contains a Hall ray. We start from the concrete example given by the surface...

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Bibliographic Details
Main Author: Artigiani, Mauro
Published: University of Bristol 2016
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.702866