Narrow equidistribution and counting of closed geodesics on noncompact manifolds

DOI10.4171/GGD/624zbMath1491.37034arXiv1907.10898OpenAlexW3202721122MaRDI QIDQ2076066

Barbara Schapira, Samuel Tapie

Publication date: 18 February 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.10898

zbMATH Keywords

periodic orbitsequidistributiongeodesic flowcountingGibbs measurenegative curvature

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Orbit growth in dynamical systems (37C35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (3)

On the equidistribution of closed geodesics and geodesic nets ⋮ Hitchin representations of Fuchsian groups ⋮ Counting, equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations

Cites Work

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• The density at infinity of a discrete group of hyperbolic motions
• Poincaré series of finite geometric groups
• Variational principle and Kleinian groups
• Unique equilibrium states for geodesic flows in nonpositive curvature
• Applications of ergodic theory to the investigation of manifolds of negative curvature
• Equilibrium states in negative curvature
• Le bas du spectre d'une variété hyperbolique est un point selle
• Finiteness of Gibbs measures on noncompact manifolds with pinched negative curvature
• Ergodicité et équidistribution en courbure négative
• Equilibrium states beyond specification and the Bowen property
• Regularity of entropy, geodesic currents and entropy at infinity
• Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees
• Ergodic properties of some negatively curved manifolds with infinite measure
• The Equidistribution of Closed Geodesics

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