Poisson law for the number of lattice points in a random strip with finite area

DOI10.1007/BF01274263zbMath0767.60010MaRDI QIDQ1203894

Péter Major

Publication date: 22 March 1993

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

zbMATH Keywords

number of lattice pointsPoisson distributedrandom stripSinaj's conjecture

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05)

Related Items

On the number of lattice points between two enlarged and randomly shifted copies of an oval ⋮ Variance of lattice point counting in thin annuli ⋮ Energy-level statistics of model quantum systems: Universality and scaling in a lattice-point problem ⋮ Non-Gaussian energy level statistics for some integrable systems

Cites Work

• Exponential Sums and Lattice Points
• Level clustering in the regular spectrum
• ON THE NUMBER OF LATTICE POINTS INSIDE A RANDOM OVAL
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