Precise counting results for closed orbits of Anosov flows

DOI10.1016/S0012-9593(00)00102-6zbMath0992.37026WikidataQ126803659 ScholiaQ126803659MaRDI QIDQ4951734

Nalini Anantharaman

Publication date: 9 October 2000

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2000_4_33_1_33_0

zbMATH Keywords

asymptotic expansiontransfer operatorsnegatively curved surfacenumber of closed geodesicsclosed orbits of Anosov flowshomological constraint

Mathematics Subject Classification ID

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (19)

A local limit theorem for closed geodesics and homology ⋮ Large degree covers and sharp resonances of hyperbolic surfaces ⋮ Distribution of periods of closed trajectories in exponentially shrinking intervals ⋮ Closed geodesics with prescribed intersection numbers ⋮ Simultaneous action of finitely many interval maps: some dynamical and statistical properties ⋮ Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds ⋮ Anosov flows, growth rates on covers and group extensions of subshifts ⋮ Expanding maps on Cantor sets and analytic continuation of zeta functions ⋮ Sub-leading asymptotics of ECH capacities ⋮ Chebotarev-type theorems in homology classes ⋮ Closed geodesics and periods of automorphic forms ⋮ Spectral deviations for the damped wave equation ⋮ Schottky groups and counting. ⋮ Zeta functions, 3-manifolds and asymptotics in Nielsen theory ⋮ Exponential gaps in the length spectrum ⋮ Local limit theorem for nonuniformly partially hyperbolic skew-products and Farey sequences ⋮ Regular decay of ball diameters and spectra of Ruelle operators for contact Anosov flows ⋮ Smooth mixing Anosov flows in dimension three are exponentially mixing ⋮ Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows

Cites Work

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