A ‘large deviation’ phenomenon in discrete geometry, I

József Beck

doi:10.1016/0012-365X(86)90005-1

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A ‘large deviation’ phenomenon in discrete geometry, I

Journal article

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Peer reviewed

A ‘large deviation’ phenomenon in discrete geometry, I

József Beck

Discrete mathematics, Vol.60(C), pp.91-99

1986

DOI: https://doi.org/10.1016/0012-365X(86)90005-1

Abstract

Let D be a completely arbitrary family of circular discs of unit radius on the plane. We show that D cannot be too evenly distributed relative to all directons. Actually we prove that there is a ‘random size’ oscillation.

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Title: A ‘large deviation’ phenomenon in discrete geometry, I
Creators: József Beck - Eötvös Lorand University, H-1088 Budapest, Hungary
Publication Details: Discrete mathematics, Vol.60(C), pp.91-99
Date published: 1986
Publisher: Elsevier B.V
Academic Unit: Mathematics (SAS)
Language: English
Resource Type: Journal article
Identifiers: 991031666202704646