Correlations for pairs of closed geodesics

DOI10.1007/s00222-004-0427-7zbMath1081.37016OpenAlexW2057986888WikidataQ125660692 ScholiaQ125660692MaRDI QIDQ811850

Richard Sharp, Mark Pollicott

Publication date: 23 January 2006

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-004-0427-7

zbMATH Keywords

periodic orbitssubshift of finite typeasymptotic estimatestransfer operatorsshrinking intervalsnatural counting problemsnegatively curved surfacespair correlation problems

Mathematics Subject Classification ID

Related Items (13)

Non-integrability of open billiard flows and Dolgopyat-type estimates ⋮ Central limit theorems for counting measures in coarse negative curvature ⋮ Correlations of length spectra for negatively curved manifolds ⋮ Asymptotic estimate for the counting problems corresponding to the dynamical system on some decorated graphs ⋮ Degeneracy in the length spectrum for metric graphs ⋮ Clustering of periodic orbits and ensembles of truncated unitary matrices ⋮ Explicit a priori bounds on transfer operator eigenvalues ⋮ Statistical properties of zeta functions' zeros ⋮ Statistics of multipliers for hyperbolic rational maps ⋮ Regular decay of ball diameters and spectra of Ruelle operators for contact Anosov flows ⋮ A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture ⋮ On the statistics of pairs of logarithms of integers ⋮ Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows

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