On the distribution of the free path length of the linear flow in a honeycomb

DOI10.5802/aif.2457zbMath1173.37036arXiv0802.1019OpenAlexW2963166381MaRDI QIDQ2390092

Florin P. Boca, Radu-Nicolae Gologan

Publication date: 20 July 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1019

zbMATH Keywords

periodic Lorentz gasFarey fractionshoneycomb latticelinear flow

Mathematics Subject Classification ID

Related Items (6)

A note on the pair correlation of Farey fractions ⋮ Kinetic Theory for the Low-Density Lorentz Gas ⋮ Free path lengths in quasicrystals ⋮ Power-law distributions for the free path length in Lorentz gases ⋮ 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

Cites Work

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• The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems
• The distribution of the free path lengths in the periodic two-dimensional Lorentz gas in the small-scatterer limit
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• The statistics of the trajectory of a certain billiard in a flat two-torus
• The average length of a trajectory in a certain billiard in a flat two-torus
• Distribution of lattice points visible from the origin
• The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions
• The Lyapunov exponent in the Sinai billiard in the small scatterer limit
• On the correlations of directions in the Euclidean plane

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