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Asymptotic expansion for closed orbits in homology classes for Anosov flows

Published online by Cambridge University Press:  18 February 2004

DONGSHENG LIU
DONGSHENG LIU
Affiliation:
Department of Physics, Lancaster University, Lancaster, LA1 4YB e-mail: d.liu@lancaster.ac.uk
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Abstract

In this paper we give an asymptotic expansion including error terms for the number of closed orbits in the homology classes for homological full Anosov flows. In particular we obtain formulae concerning the coefficients of error terms which depend on the homology classes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 136 , Issue 2 , March 2004 , pp. 383 - 397
Copyright
2004 Cambridge Philosophical Society

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