Geometric methods in the study of irregularities of distribution

DOI10.1007/BF02123006zbMath0719.11047MaRDI QIDQ2639895

Ralph Alexander

Publication date: 1990

Published in: Combinatorica (Search for Journal in Brave)

zbMATH Keywords

signed measurediscrepancy

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38)

Related Items (16)

Quasi‐random 2‐ colorings of point sets ⋮ An elementary approach to lower bounds in geometric discrepancy ⋮ Tight upper bounds for the discrepancy of half-spaces ⋮ Cutting dense point sets in half ⋮ DISTANCE GEOMETRY IN QUASIHYPERMETRIC SPACES. I ⋮ Lines, line-point incidences and crossing families in dense sets ⋮ One-Sided Epsilon-Approximants ⋮ Unnamed Item ⋮ On discrepancy bounds via dual shatter function ⋮ A Functional From Geometry with Applications to Discrepancy Estimates and the Radon Transform ⋮ New results on the coarseness of bicolored point sets ⋮ A Size-Sensitive Discrepancy Bound for Set Systems of Bounded Primal Shatter Dimension ⋮ Unnamed Item ⋮ The Communication Complexity of Distributed epsilon-Approximations ⋮ Irregularities of point distribution relative to half‐planes I ⋮ Discrepancy and approximations for bounded VC-dimension

Cites Work

• Unnamed Item
• Generalized sums of distances
• Irregularities of distribution. IV
• Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
• Extremal Problems of Distance Geometry Related to Energy Integrals
• Spherical Distributions of N Points with Maximal Distance Sums are well Spaced
• On the sum of distances betweenn points on a sphere. II
• Sums of Distances Between Points on a Sphere. II
• Sums of Distances Between Points on a Sphere
• On the sum of distances betweenn points on a sphere
• On irregularities of distribution

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