scientific article

zbMath1006.37015MaRDI QIDQ2735121

Mark Pollicott, Richard Sharp

Publication date: 10 March 2003

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Poincaré seriesmeromorphic extensionsRuelle transfer operatorcompact negatively curved Riemannian manifoldmethods from geometric group theorythermodynamical theory of subshiftsvariable negative curvature

Mathematics Subject Classification ID

Geometric group theory (20F65) Geodesics in global differential geometry (53C22) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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Central limit theorems for counting measures in coarse negative curvature ⋮ Critical exponents for groups of isometries. ⋮ Typical behaviour along geodesic rays in hyperbolic groups ⋮ Statistics in conjugacy classes in free groups ⋮ Statistical limit laws for hyperbolic groups ⋮ A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture ⋮ Conformal Markov systems, Patterson-Sullivan measure on limit sets and spectral triples

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