Distribution of angles to lattice points seen from a fast moving observer

Lattice points in specified regions (11P21) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Cites Work

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Pair correlation of angles between reciprocal geodesics on the modular surface
The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems
Distribution of lattice points visible from the origin
The gap distribution of directions in some Schottky groups
Directions in hyperbolic lattices
Gaps in \(\sqrt{n}\bmod 1\) and ergodic theory
On the distribution of lattice points on hyperbolic circles
On the pair correlation density for hyperbolic angles
On the distribution of the free path length of the linear flow in a honeycomb
The density and minimal gap of visible points in some planar quasicrystals
A conjecture of R. R. Hall on Farey points
The \(h\)-spacing distribution between Farey points.
Radial spacing distributions from planar point sets
Fine-Scale Statistics for the Multidimensional Farey Sequence
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
Gap distributions and homogeneous dynamics
Visibility and Directions in Quasicrystals
Farey Sequences for Thin Groups
Equidistribution of Farey sequences on horospheres in covers of and applications
The Distribution of Directions in an Affine Lattice: Two-Point Correlations and Mixed Moments
A Note on Farey Series
THE CORRELATIONS OF FAREY FRACTIONS
Joint partial equidistribution of Farey rays in negatively curved manifolds and trees

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