CONVEX CURVES AND A POISSON IMITATION OF LATTICES

DOI10.1112/S0025579313000259zbMath1308.11086arXiv1211.5983OpenAlexW3105263006MaRDI QIDQ3191159

Sinai Robins, Dmitry Shiryaev, Fedor Petrov, N. V. Gravin

Publication date: 24 September 2014

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5983

zbMATH Keywords

lattice pointsPoisson processconvex curvesrandomized version

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21) Convex sets in (2) dimensions (including convex curves) (52A10) Asymptotic theory of convex bodies (52A23)

Cites Work

• Poisson polytopes
• An introduction to the theory of point processes
• The limit shape of convex lattice polygons and related topics
• On the number of convex lattice polytopes
• Central limit theorems for Gaussian polytopes
• Random points and lattice points in convex bodies

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