Skip to content

Pair correlation and equidistribution on manifolds

Research output: Contribution to journalArticle

Original languageEnglish
Number of pages16
JournalMonatshefte für Mathematik
DOIs
DateAccepted/In press - 6 Jun 2019
DatePublished (current) - 17 Jun 2019

Abstract

This study is motivated by a series of recent papers that show that, if a given deterministic sequence in the unit interval has a Poisson pair correlation function, then the sequence is uniformly distributed. Analogous results have been proved for point sequences on higher-dimensional tori. The purpose of this paper is to describe a simple statistical argument that explains this observation and furthermore permits a generalisation to bounded Euclidean domains as well as compact Riemannian manifolds.

    Research areas

  • Equidistribution, Pair correlation, Poisson process

Download statistics

No data available

Documents

Documents

  • Full-text PDF (final published version)

    Rights statement: This is the final published version of the article (version of record). It first appeared online via Springer at https://link.springer.com/article/10.1007%2Fs00605-019-01308-3 . Please refer to any applicable terms of use of the publisher.

    Final published version, 297 KB, PDF document

    Licence: CC BY

DOI

View research connections

Related faculties, schools or groups