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

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Publication:3646280
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DOI10.1070/IM2009v073n04ABEH002461zbMath1177.82023OpenAlexW2148484791MaRDI QIDQ3646280

Alexey Ustinov, V. A. Bykovskii

Publication date: 20 November 2009

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2009v073n04abeh002461


zbMATH Keywords

dynamical systemsbilliardscontinued fractionsKloosterman sumsgeometry of numbersanalytic number theory


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (6)

Superdiffusion in the periodic Lorentz gas ⋮ On the Boltzmann-Grad limit for the two-dimensional periodic Lorentz gas ⋮ The periodic Lorentz gas in the Boltzmann-Grad limit: asymptotic estimates ⋮ Power-law distributions for the free path length in Lorentz gases ⋮ Distribution of rational points on the circle of unit radius ⋮ Spin chains and Arnold's problem on the Gauss-Kuz'min statistics for quadratic irrationals




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