Directions and equidistribution in homology for periodic orbits

Collier, David and Sharp, Richard (2006) Directions and equidistribution in homology for periodic orbits. [MIMS Preprint]

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Abstract

We discuss the asymptotic distribution of the directions in homology of periodic orbits of Anosov flows. We obtain a limiting measure which is either a Dirac measure on a single point or is fully supported. In the latter case , we relate the result to a more general equidistribution problem.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory
MSC 2010, the AMS's Mathematics Subject Classification > 58 Global analysis, analysis on manifolds
Depositing User: Professor Richard Sharp
Date Deposited: 03 Apr 2006
Last Modified: 08 Nov 2017 18:18
URI: https://eprints.maths.manchester.ac.uk/id/eprint/205

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