Weak Poissonian correlations

DOI10.1007/S10231-024-01463-XMaRDI QIDQ6624152

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Publication date: 25 October 2024

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

uniform distributionPoissonian pair correlations

Mathematics Subject Classification ID

Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

Cites Work

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• Pair correlations of sequences in higher dimensions
• The pair correlation function of fractional parts of polynomials
• Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems
• Gaps in \(\sqrt{n}\bmod 1\) and ergodic theory
• The distribution of spacings between quadratic residues
• Poissonian pair correlation in higher dimensions
• On a multi-dimensional Poissonian pair correlation concept and uniform distribution
• Pair correlation and equidistribution on manifolds
• Pair correlations and equidistribution
• On pair correlation and discrepancy
• The distribution of spacings between fractional parts of lacunary sequences
• Pair correlation for fractional parts of αn²
• Sums Involving Common Divisors
• A metric result on the pair correlation of fractional parts of sequences
• THE PRIMES ARE NOT METRIC POISSONIAN
• The two-point correlation function of the fractional parts of $\sqrt {n}$ is Poisson
• Localized quantitative criteria for equidistribution
• Level clustering in the regular spectrum

Related Items (1)

On the number variance of sequences with small additive energy

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