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Ideal tilings and symbolic dynamics for negatively curved surfaces

Published online by Cambridge University Press:  14 September 2011

DAVID FRIED
DAVID FRIED*
Affiliation:
Mathematics Department, Boston University, 111 Cummington Street, Boston, MA 02215, USA (email: df@math.bu.edu)
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Abstract

Let X be a non-compact surface (or 2-orbifold) of finite type with a metric of strictly negative curvature. Using an ideal tiling of the universal cover of X, we give a symbolic description of the recurrent geodesics on X. This extends Series’s method of coding geodesics on the modular surface.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 31 , Issue 6 , December 2011 , pp. 1697 - 1726
Copyright
Copyright © Cambridge University Press 2011

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