A 'large deviation' phenomenon in discrete geometry, I

József Beck

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

A 'large deviation' phenomenon in discrete geometry, I

József Beck

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	91-99
Number of pages	9
Journal	Discrete Mathematics
Volume	60
Issue number	C
DOIs	https://doi.org/10.1016/0012-365X(86)90005-1
State	Published - 1986
Externally published	Yes

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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

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title = "A 'large deviation' phenomenon in discrete geometry, I",

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.",

author = "J{\'o}zsef Beck",

year = "1986",

doi = "10.1016/0012-365X(86)90005-1",

language = "English (US)",

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pages = "91--99",

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publisher = "Elsevier B.V.",

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JO - Discrete Mathematics

JF - Discrete Mathematics

IS - C

ER -

A 'large deviation' phenomenon in discrete geometry, I

Abstract

All Science Journal Classification (ASJC) codes

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