Shvo Regavim

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math.NT2021

Additive energy, discrepancy and Poissonian $k$ -level correlation

Guy Lachman, Shvo Regavim

$k$ -level correlation is a local statistic of sequences modulo 1, describing the local spacings of $k$ -tuples of elements. For $k = 2$ this is also known as pair correlation. We sh…

math.NT2021

Minimal Gaps and Additive Energy in real-valued sequences

Shvo Regavim

We study the minimal gap statistic for sequences of the form $(α x_{n})_{n = 1}^{\infty}$ where $(x_{n})_{n = 1}^{\infty}$ is a sequence of real numbers, and i…

Additive energy, discrepancy and Poissonian k-level correlation

Minimal Gaps and Additive Energy in real-valued sequences

Additive energy, discrepancy and Poissonian $k$ -level correlation