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Geodesics avoiding open subsets in surfaces of negative curvature

Published online by Cambridge University Press:  01 August 2000

SERGEI BUYALO,
VIKTOR SCHROEDER and
MICHEL WALZ
SERGEI BUYALO
Affiliation:
St. Petersburg Branch, V. A. Steklov Institute of Mathematics (POMI), Russian Academy of Sciences, Fontanka 27, St. Petersburg, 191011, Russia (e-mail: buyalo@pdmi.ras.ru)
VIKTOR SCHROEDER
Affiliation:
Mathematisches Institut, Universität Zürich, Winterthurer Str. 190, CH-8057 Zürich, Switzerland (e-mail: {vschroed,mwalz}@math.unizh.ch)
MICHEL WALZ
Affiliation:
Mathematisches Institut, Universität Zürich, Winterthurer Str. 190, CH-8057 Zürich, Switzerland (e-mail: {vschroed,mwalz}@math.unizh.ch)
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Abstract

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We prove existence and non-existence results for geodesics avoiding $a$-separated sets on a surface of negative curvature.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 4 , August 2000, pp. 991 - 1006
Copyright
2000 Cambridge University Press