The circle problem on surfaces of variable negative curvature

DOI10.1007/BF01316937zbMath0876.58040OpenAlexW2009823357MaRDI QIDQ676838

Richard Sharp, Mark Pollicott

Publication date: 2 December 1997

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178760

zbMATH Keywords

Poincaré seriesorbit countingnegative curvatureconvex cocompact free groups

Mathematics Subject Classification ID

Entropy in general topology (54C70) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Correlations of length spectra for negatively curved manifolds, Remarques sur le spectre des longueurs d'une surface et comptages

Cites Work

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• Renewal theorems in symbolic dynamics, with applications to geodesic flows, noneuclidean tessellations and their fractal limits
• On a lattice-point problem in hyperbolic space and related questions in spectral theory
• Symbolic dynamics for geodesic flows
• The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces
• Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature
• Applications of ergodic theory to the investigation of manifolds of negative curvature