Equidistribution and counting of orbit points for discrete rank one isometry groups of Hadamard spaces

DOI10.2140/tunis.2020.2.791OpenAlexW3103696074WikidataQ126559550 ScholiaQ126559550MaRDI QIDQ2289392

Gabriele Link

Publication date: 28 January 2020

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03223

zbMATH Keywords

equidistributionmixingBowen-Margulis measurerank one spaceorbit counting function

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Asymptotic properties of groups (20F69) Hyperbolic groups and nonpositively curved groups (20F67) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Stable random fields, Patterson-Sullivan measures and extremal cocycle growth ⋮ Ergodicity and equidistribution in Hilbert geometry ⋮ Counting closed geodesics in a compact rank-one locally CAT(0) space

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