Geometric Discrepancy

Beschreibung

The book is a monograph in an important area of discrete mathematics and geometry. It is bound to become a standard reference. Only up-to-date comprehensive guide to the subject Includes supplementary material: sn.pub/extras Inhalt 1. Introduction.- 2. Low-Dis...

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Beschreibung

The book is a monograph in an important area of discrete mathematics and geometry. It is bound to become a standard reference.

Only up-to-date comprehensive guide to the subject Includes supplementary material: sn.pub/extras

Inhalt

Introduction.- 2. Low-Discrepancy Sets for Axis-Parallel Boxes.- 3. Upper Bounds in the Lebesgue-Measure Setting.- 4. Combinatorial Discrepancy.- 5. VC-Dimension and Discrepancy.- 6. Lower Bounds.- 7. More Lower Bounds and the Fourier Transform.- A. Tables of Selected Discrepancy Bounds.- Hints.