Asymptotic distribution of closed geodesics
type: Item
instance of: scholarly article
title: Asymptotic distribution of closed geodesics
zbMATH Open document ID: 0582.58029
DOI: 10.1007/BF02786516
author: Mark Pollicott
published in: Israel Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: In this paper the distribution of closed geodesics on surfaces of constant negative curvature is studied from a dynamical viewpoint. Asymptotic estimates are derived independently of the work of Selberg or Margulis, or the work of Bowen on axiom A flows.
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 3932060
zbMATH Keywords: closed geodesics on surfaces of constant negative curvature
MaRDI profile type: Publication
cites work: Q5554207
cites work: Lectures on geodesics in Riemannian geometry
cites work: The Equidistribution of Closed Geodesics
cites work: Symbolic Dynamics for Hyperbolic Flows
cites work: Mixing Anosov flows
cites work: Markov maps associated with Fuchsian groups
cites work: An Algorithm for Simple Curves on Surfaces
cites work: Geodesic Flows on Negatively Curved Manifolds. II
cites work: Geodesic flows on manifolds of constant negative curvature
cites work: Q5772619
cites work: The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
cites work: The Selberg trace formula and the Riemann zeta-function
cites work: Fuchsian Groups and Ergodic Theory
cites work: Theory of dynamical systems and general transformation groups with invariant measure
cites work: Q5513203
cites work: On a $\zeta$ function related to the continued fraction transformation
cites work: Bowen's equidistribution theory and the Dirichlet density theorem
cites work: An analogue of the prime number theorem for closed orbits of Axiom A flows
cites work: A complex Ruelle-Perron-Frobenius theorem and two counterexamples
cites work: Symbolic dynamics for geodesic flows
cites work: The infinite word problem and limit sets in Fuchsian groups
cites work: The Modular Surface and Continued Fractions
cites work: SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS, THE SELBERG ZETA-FUNCTION, AND SOME PROBLEMS OF ANALYTIC NUMBER THEORY AND MATHEMATICAL PHYSICS
description: scientific article; zbMATH DE number 3932060