The statistics of particle trajectories in the homogeneous Sinai problem for a two-dimensional lattice

DOI10.1007/S10688-008-0026-2zbMath1173.11004OpenAlexW1964765707MaRDI QIDQ1002816

V. A. Bykovskii, Alexey Ustinov

Publication date: 26 February 2009

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-008-0026-2

zbMATH Keywords

Kloosterman sumcontinued fractioninteger lattice

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Continued fractions (11A55) Metric theory of continued fractions (11K50)

Related Items (1)

Distribution of rational points on the circle of unit radius

Cites Work

• Unnamed Item
• The statistics of the trajectory of a certain billiard in a flat two-torus
• Fermat dynamics, matrix arithmetics, finite circles, and finite Lobachevsky planes
• On Kloosterman's sum

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