Directions and equidistribution in homology for periodic orbits

• Autores: David Collier, Richard Sharp
• Localización: Ergodic theory and dynamical systems, ISSN 0143-3857, Vol. 27, Nº 2, 2007, págs. 405-415
• Idioma: inglés
• DOI: 10.1017/s0143385706000848
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• Resumen

  • 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.