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On the probability of a random lattice avoiding a large convex set

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Publication:3107326
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DOI10.1112/plms/pdr021zbMath1259.60012arXiv1008.3805OpenAlexW3102740582MaRDI QIDQ3107326

Andreas Strömbergsson

Publication date: 23 December 2011

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3805


zbMATH Keywords

convex setsLorentz gasrandom lattices


Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Kinetic theory of gases in time-dependent statistical mechanics (82C40)


Related Items (4)

Superdiffusion in the periodic Lorentz gas ⋮ Khintchine-type theorems for values of subhomogeneous functions at integer points ⋮ Some results on random unimodular lattices ⋮ On the minimum of a positive definite quadratic form over non-zero lattice points. Theory and applications







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