Davenport's theorem in the theory of irregularities of point distribution

W. W. L. Chen; M. M. Skriganov

Davenport's theorem in the theory of irregularities of point distribution

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Abstract

We study distributions D_N of N points in the unit square U²with a minimal order of the L₂-discrepancyL₂[D_N] C(log N) ^1/2 where the constant C is independent of N. We introduce an approach using Walsh functions that admitsgeneralization to higher dimensions.

Original language	English
Pages (from-to)	339-353
Number of pages	15
Journal	Zapiski Nauch. Sem. POMI
Volume	269
Publication status	Published - 2000

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title = "Davenport's theorem in the theory of irregularities of point distribution",

abstract = "We study distributions DN of N points in the unit square U2 with a minimal order of the L2-discrepancyL2[DN] C(log N) 1/2 where the constant C is independent of N. We introduce an approach using Walsh functions that admitsgeneralization to higher dimensions.",

author = "Chen, {W. W. L.} and Skriganov, {M. M.}",

year = "2000",

language = "English",

volume = "269",

pages = "339--353",

journal = "Zapiski Nauch. Sem. POMI",

issn = "0373-2703",

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TY - JOUR

T1 - Davenport's theorem in the theory of irregularities of point distribution

AU - Chen, W. W. L.

AU - Skriganov, M. M.

PY - 2000

Y1 - 2000

N2 - We study distributions DN of N points in the unit square U2 with a minimal order of the L2-discrepancyL2[DN] C(log N) 1/2 where the constant C is independent of N. We introduce an approach using Walsh functions that admitsgeneralization to higher dimensions.

AB - We study distributions DN of N points in the unit square U2 with a minimal order of the L2-discrepancyL2[DN] C(log N) 1/2 where the constant C is independent of N. We introduce an approach using Walsh functions that admitsgeneralization to higher dimensions.

M3 - Article

VL - 269

SP - 339

EP - 353

JO - Zapiski Nauch. Sem. POMI

JF - Zapiski Nauch. Sem. POMI

SN - 0373-2703

ER -

Davenport's theorem in the theory of irregularities of point distribution

Abstract

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