Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-29T02:20:32.170Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected])
RICHARD SHARP
Affiliation:
Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)