Pairs of periodic orbits with fixed homology difference

DOI10.1017/S001309150900008XzbMath1201.37024arXiv0806.0008OpenAlexW2963157876MaRDI QIDQ4933554

Richard Sharp, Morten S. Risager

Publication date: 14 October 2010

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0008

zbMATH Keywords

homologyperiodic orbitsmooth Riemannian manifoldtransitive Anosov flowrelative distribution

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Periodic orbits of vector fields and flows (37C27) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

• Unnamed Item
• An analogue of the prime number theorem for closed orbits of Axiom A flows
• Closed orbits in homology classes
• Closed geodesics in homology classes on surfaces of variable negative curvature
• The geometry of cross sections to flows
• Distribution of periodic orbits of symbolic and axiom A flows
• Geodesics in homology classes
• Large deviations, averaging and periodic orbits of dynamical systems
• Stable norms of surfaces: local structure of the unit ball at rational directions
• Closed orbits in homology classes for Anosov flows
• Homology and Closed Geodesics in a Compact Negatively Curved Surface
• Directions and equidistribution in homology for periodic orbits
• Equidistribution of geodesics on homology classes and analogues for free groups
• Homology and Closed Geodesics in a Compact Riemann Surface
• Lalley's theorem on periodic orbits of hyperbolic flows
• Counting geodesics which are optimal in homology

This page was built for publication: Pairs of periodic orbits with fixed homology difference