Point sets on the sphere S^2 with small spherical cap discrepancy

Christoph Aistleitner; Johann Brauchart; Josef Dick

doi:10.1007/s00454-012-9451-3

Point sets on the sphere S^2 with small spherical cap discrepancy

Christoph Aistleitner, Johann Brauchart, Josef Dick

Institute of Analysis and Number Theory (5010)

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

Original language	English
Pages (from-to)	990-1024
Journal	Discrete & Computational Geometry
Volume	48
Issue number	4
DOIs	https://doi.org/10.1007/s00454-012-9451-3
Publication status	Published - 2012

Keywords

Discrepancy
Isotropic discrepancy
Lambert map
Level curve
Level set
Numerical integration
Quasi-Monte Carlo
Spherical cap discrepancy

Fields of Expertise

Information, Communication & Computing

Treatment code (Nähere Zuordnung)

Basic - Fundamental (Grundlagenforschung)

Access to Document

10.1007/s00454-012-9451-3

Cite this

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title = "Point sets on the sphere S^2 with small spherical cap discrepancy",

keywords = "Discrepancy, Isotropic discrepancy, Lambert map, Level curve, Level set, Numerical integration, Quasi-Monte Carlo, Spherical cap discrepancy",

author = "Christoph Aistleitner and Johann Brauchart and Josef Dick",

year = "2012",

doi = "10.1007/s00454-012-9451-3",

language = "English",

volume = "48",

pages = "990--1024",

journal = "Discrete & Computational Geometry",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - Point sets on the sphere S^2 with small spherical cap discrepancy

AU - Aistleitner, Christoph

AU - Brauchart, Johann

AU - Dick, Josef

PY - 2012

Y1 - 2012

KW - Discrepancy

KW - Isotropic discrepancy

KW - Lambert map

KW - Level curve

KW - Level set

KW - Numerical integration

KW - Quasi-Monte Carlo

KW - Spherical cap discrepancy

U2 - 10.1007/s00454-012-9451-3

DO - 10.1007/s00454-012-9451-3

M3 - Article

VL - 48

SP - 990

EP - 1024

JO - Discrete & Computational Geometry

JF - Discrete & Computational Geometry

IS - 4

ER -