Equidistribution of horospheres in non-positive curvature

DOI10.1017/etds.2021.124OpenAlexW3210215507WikidataQ114118998 ScholiaQ114118998MaRDI QIDQ5889803

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Publication date: 27 April 2023

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05253

zbMATH Keywords

non-positive curvatureequidistributionunique ergodicityhorocyclic flowrank 1 manifolds

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

Unique ergodicity of the horocycle flow of a higher genus compact surface with no conjugate points and continuous Green bundles

Cites Work

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• Surfaces of nonpositive curvature
• Finiteness of Gibbs measures on noncompact manifolds with pinched negative curvature
• Ergodicité et équidistribution en courbure négative
• Geodesic Flows on Negatively Curved Manifolds. II

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