On the smallest gap in a sequence with Poisson pair correlations

Abstract We prove that any increasing sequence of real numbers with average gap $1$ and Poisson pair correlations has some gap that is at least $3/2+10^{-9}$ . This improves upon a result of Aistleitner, Blomer, and Radziwiłł.

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Publication Details

Journal
Combinatorics Probability Computing
Published
2024-11-21
DOI
https://doi.org/10.1017/s0963548324000361
Primary Topic
Mathematical Dynamics and Fractals
Type
article
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article

On the smallest gap in a sequence with Poisson pair correlations

Daniel Altman, Zachary Chase
Combinatorics Probability Computing
Mathematical Dynamics and Fractals
article

On the smallest gap in a sequence with Poisson pair correlations

Daniel Altman, Zachary Chase
article en

Abstract

Abstract We prove that any increasing sequence of real numbers with average gap $1$ and Poisson pair correlations has some gap that is at least $3/2+10^{-9}$ . This improves upon a result of Aistleitner, Blomer, and Radziwiłł.

Combinatorics Probability ComputingVol. 34(2)
University of California San Diego (US), Stanford University (US)
Reduced inequalities
Openalex Percentile: Top 65%
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
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On the smallest gap in a sequence with Poisson pair correlations — Daniel Altman, Zachary Chase · Combinatorics Probability Computing (2024) | TGRS Research Map | TGRS