On the number of lattice points between two enlarged and randomly shifted copies of an oval

DOI10.1007/BF01199268zbMath0809.60026MaRDI QIDQ1342502

Zheming Cheng, Péter Major, Joel L. Lebowitz

Publication date: 28 March 1995

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

Poisson lawcomputer studiesshifted annular regionuniformly distributed random vector in the unit square

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Other physical applications of random processes (60K40) General theory of distribution modulo (1) (11K06)

Related Items

Eigenvectors of the square grid plus GUE, Variance of lattice point counting in some special shells in \(\mathbb{R}^d\), Variance of lattice point counting in thin annuli, Energy-level statistics of model quantum systems: Universality and scaling in a lattice-point problem, Pair correlation densities of inhomogeneous quadratic forms. II.

Cites Work

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• ON THE NUMBER OF LATTICE POINTS INSIDE A RANDOM OVAL