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Directions and equidistribution in homology for periodic orbits

Published online by Cambridge University Press:  09 January 2007

DAVID COLLIER  and
RICHARD SHARP
DAVID COLLIER
Affiliation:
Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK (e-mail: sharp@maths.manchester.ac.uk)
RICHARD SHARP
Affiliation:
Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK (e-mail: sharp@maths.manchester.ac.uk)
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 2 , April 2007 , pp. 405 - 415
Copyright
2007 Cambridge University Press

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