The gap distribution of directions in some Schottky groups

DOI10.3934/jmd.2017019zbMath1432.37075arXiv1511.07943OpenAlexW2964129613MaRDI QIDQ1630371

Xin Zhang

Publication date: 10 December 2018

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07943

zbMATH Keywords

Patterson-Sullivan measuregap distributionFuchsian groups of the second kind

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Distribution modulo one (11J71)

Related Items (2)

Directions in orbits of geometrically finite hyperbolic subgroups ⋮ Spatial Statistics of Apollonian Gaskets

Cites Work

• Unnamed Item
• Local analysis of Selberg's trace formula
• Sector estimates for hyperbolic isometries
• The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems
• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• The density at infinity of a discrete group of hyperbolic motions
• The limit set of a Fuchsian group
• Directions in hyperbolic lattices
• Gaps in \(\sqrt{n}\bmod 1\) and ergodic theory
• The distribution of gaps for saddle connection directions
• On the pair correlation density for hyperbolic angles
• A Poincaré Section for the Horocycle Flow on the Space of Lattices
• Pair correlation of hyperbolic lattice angles
• Angles in hyperbolic lattices: The pair correlation density
• Local Statistics of Lattice Points on the Sphere
• Hausdorff dimension and conformal dynamics, III: Computation of dimension
• The $\bm{n}$-point correlations between values of a linear form
• Equidistribution and counting for orbits of geometrically finite hyperbolic groups
• Gap Distributions in Circle Packings

This page was built for publication: The gap distribution of directions in some Schottky groups