Skinning measures in negative curvature and equidistribution of equidistant submanifolds

DOI10.1017/etds.2012.192zbMath1321.37029arXiv1202.6398OpenAlexW4302406403WikidataQ110021986 ScholiaQ110021986MaRDI QIDQ2925266

Frédéric Paulin, Jouni Parkkonen

Publication date: 21 October 2014

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

Full work available at URL: https://arxiv.org/abs/1202.6398

zbMATH Keywords

critical exponentequidistributionnegative sectional curvatureBowen-Margulis measuremixing of the geodesic flowskinning measure

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Global Riemannian geometry, including pinching (53C20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (7)

Stable random fields, Patterson-Sullivan measures and extremal cocycle growth ⋮ Counting and equidistribution in quaternionic Heisenberg groups ⋮ Counting common perpendicular arcs in negative curvature ⋮ Counting and equidistribution in Heisenberg groups ⋮ Asymptotic Counting in Conformal Dynamical Systems ⋮ On the arithmetic of cross-ratios and generalised Mertens' formulas ⋮ On the hyperbolic orbital counting problem in conjugacy classes

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