Exponential mixing of frame flows for convex cocompact hyperbolic manifolds

DOI10.1112/S0010437X21007600zbMath1495.37035arXiv2004.14551WikidataQ115526846 ScholiaQ115526846MaRDI QIDQ5018384

Dale Winter, Pratyush Sarkar

Publication date: 16 December 2021

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14551

zbMATH Keywords

hyperbolic manifoldholonomyequidistributionasymptotic formulatransfer operatormatrix coefficientBowen-Margulis-Sullivan measureZariski dense subgroupframe flowconvex cocompact subgroupDolgopyat operatormixing, exponential mixing

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Discrete subgroups of Lie groups (22E40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Relations between ergodic theory and number theory (37A44) Relations between ergodic theory and harmonic analysis (37A46)

Related Items

Decay of correlations for certain isometric extensions of Anosov flows, Shrinking targets for the geodesic flow on geometrically finite hyperbolic manifolds, Effective equidistribution of horospherical flows in infinite volume rank-one homogeneous spaces, Exponential mixing of geodesic flows for geometrically finite hyperbolic manifolds with cusps, Spectral gap and exponential mixing on geometrically finite hyperbolic manifolds, Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of \(\operatorname{SO}(n, 1)\), Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows

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