Pairs of periodic orbits with fixed homology difference

2008/05/30 by Morten S. Risager, Risager, Morten S., Richard Sharp +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #advanced mathematical theories #math.DS

paper · pdf · doi:10.48550/arxiv.0806.0008

10 pages

arxiv created 2008/05/30 · openalex publication_date 2008/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain an asymptotic formula for the number of pairs of closed orbits of a weak-mixing transitive Anosov flow whose homology classes have a fixed difference.

Related

• Distribution of periodic orbits in the homology group of a knot complement
• Infinitely many closed paths in the graph of Anosov flows
• Counting periodic orbits of Anosov flows in free homotopy classes
• Anosov flows with the same periodic orbits
• Orbit equivalences of pseudo-Anosov flows