Counting common perpendicular arcs in negative curvature

DOI10.1017/etds.2015.77zbMath1375.37104arXiv1305.1332OpenAlexW4300439187WikidataQ109744844 ScholiaQ109744844MaRDI QIDQ2986626

Jouni Parkkonen, Frédéric Paulin

Publication date: 16 May 2017

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

Full work available at URL: https://arxiv.org/abs/1305.1332

zbMATH Keywords

Riemannian manifoldgeodesic flowdecay of correlations

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (12)

Effective equidistribution of circles in the limit sets of Kleinian groups ⋮ Counting and equidistribution in quaternionic Heisenberg groups ⋮ Counting arcs on hyperbolic surfaces ⋮ Volume bound for the canonical lift complement of a random geodesic ⋮ Torus counting and self-joinings of Kleinian groups ⋮ Pair correlations of logarithms of complex lattice points ⋮ Counting orbits of integral points in families of affine homogeneous varieties and diagonal flows ⋮ Counting and equidistribution in Heisenberg groups ⋮ Rigidity, counting and equidistribution of quaternionic Cartan chains ⋮ On the arithmetic of cross-ratios and generalised Mertens' formulas ⋮ On the hyperbolic orbital counting problem in conjugacy classes ⋮ On the statistics of pairs of logarithms of integers

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