On the correlations of directions in the Euclidean plane

DOI10.1090/S0002-9947-05-03783-9zbMath1154.11022arXivmath/0404112OpenAlexW1926764058MaRDI QIDQ5714407

Florin P. Boca, Alexandru Zaharescu

Publication date: 2 January 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404112

zbMATH Keywords

limiting pair correlation measure

Mathematics Subject Classification ID

Distribution modulo one (11J71)

Related Items (9)

A note on the pair correlation of Farey fractions ⋮ On the distribution of the free path length of the linear flow in a honeycomb ⋮ A parity problem on the free path length of a billiard in the unit square with pockets ⋮ Modular hyperbolas ⋮ The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems ⋮ Spatial Statistics of Apollonian Gaskets ⋮ Distribution of periodic points of certain Gauss shifts with infinite invariant measure ⋮ Distribution of the reduced quadratic irrationals arising from the odd continued fraction expansion ⋮ On the pair correlation density for hyperbolic angles

Cites Work

• The pair correlation function of fractional parts of polynomials
• The average length of a trajectory in a certain billiard in a flat two-torus
• Distribution of lattice points visible from the origin
• Pair correlation of values of rational functions (mod \(p\))
• The h-spacing distribution between Farey points
• Correlation of fractional parts of n2a
• A Note on Farey Series
• THE CORRELATIONS OF FAREY FRACTIONS
• The distribution of spacings between the fractional parts of \(n^2\alpha\)
• Unnamed Item

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