On Inhomogeneous Poissonian Pair Correlations

Fuente: arXiv
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Autores principales: Hauke, Manuel, Zafeiropoulos, Agamemnon
Formato: Preprint
Publicado: 2024
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author Hauke, Manuel
Zafeiropoulos, Agamemnon
author_facet Hauke, Manuel
Zafeiropoulos, Agamemnon
contents We study the notion of inhomogeneous Poissonian pair correlations, proving several properties that show similarities and differences to its homogeneous counterpart. In particular, we show that sequences with inhomogeneous Poissonian pair correlations need not be uniformly distributed, contrary to what was till recently believed.
format Preprint
id arxiv_https___arxiv_org_abs_2404_16542
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Inhomogeneous Poissonian Pair Correlations
Hauke, Manuel
Zafeiropoulos, Agamemnon
Number Theory
We study the notion of inhomogeneous Poissonian pair correlations, proving several properties that show similarities and differences to its homogeneous counterpart. In particular, we show that sequences with inhomogeneous Poissonian pair correlations need not be uniformly distributed, contrary to what was till recently believed.
title On Inhomogeneous Poissonian Pair Correlations
topic Number Theory
url https://arxiv.org/abs/2404.16542