Pair correlation of hyperbolic lattice angles

DOI10.1142/S1793042114500651zbMath1304.11075arXiv1302.5067MaRDI QIDQ2931747

Alexandru A. Popa, Alexandru Zaharescu, Florin P. Boca

Publication date: 27 November 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5067

zbMATH Keywords

pair correlationshyperbolic lattice pointsspacings measures

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Lattice points in specified regions (11P21) Irregularities of distribution, discrepancy (11K38) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Distribution modulo one (11J71)

Related Items (8)

The gap distribution of directions in some Schottky groups ⋮ Directions in hyperbolic lattices ⋮ Angles in hyperbolic lattices: The pair correlation density ⋮ Fine-scale distribution of roots of quadratic congruences ⋮ Directions in orbits of geometrically finite hyperbolic subgroups ⋮ Spatial Statistics of Apollonian Gaskets ⋮ On the distribution of lattice points on hyperbolic circles ⋮ On the pair correlation density for hyperbolic angles

Cites Work

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• Sector estimates for hyperbolic isometries
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• DISTRIBUTION OF ANGLES IN HYPERBOLIC LATTICES
• DISTRIBUTION OF ANGLES BETWEEN GEODESIC RAYS ASSOCIATED WITH HYPERBOLIC LATTICE POINTS
• Random Matrices in Physics
• THE CORRELATIONS OF FAREY FRACTIONS
• On the distribution of Farey fractions and hyperbolic lattice points

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