The distribution of spacings of real‐valued lacunary sequences modulo one

DOI10.1112/mtk.12129zbMath1524.11137arXiv2108.00431OpenAlexW3191426372MaRDI QIDQ6048789

Nadav Yesha, Sneha Chaubey

Publication date: 15 September 2023

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.00431

zbMATH Keywords

lacunary sequencesPoissonian nearest-neighbour spacing distribution

Mathematics Subject Classification ID

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

Related Items (2)

On the correlations of \(n^\alpha \bmod 1\) ⋮ Intermediate-scale statistics for real-valued lacunary sequences

Cites Work

• Unnamed Item
• The pair correlation function of fractional parts of polynomials
• Gaps in \(\sqrt{n}\bmod 1\) and ergodic theory
• The distribution of spacings between quadratic residues
• The metric theory of the pair correlation function of real-valued lacunary sequences
• A pair correlation problem, and counting lattice points with the zeta function
• Pair correlation of fractional parts derived from rational valued sequences
• On pair correlation and discrepancy
• Gap statistics and higher correlations for geometric progressions modulo one
• The distribution of spacings between fractional parts of lacunary sequences
• A metric result on the pair correlation of fractional parts of sequences
• The two-point correlation function of the fractional parts of $\sqrt {n}$ is Poisson
• The distribution of spacings between the fractional parts of \(n^2\alpha\)

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