Discrepancy Theory / / ed. by Dmitriy Bilyk, Josef Dick, Friedrich Pillichshammer.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2020
• MitwirkendeR: Bilyk, Dmitriy,; Brandolini, Luca,; Breneis, Simon,; Chen, W. W. L.,; Gnewuch, Michael,; Goda, Takashi,; Grepstad, Sigrid,; Hebbinghaus, Nils,; Hinrichs, Aicke,; Kaltenböck, Lisa,; Larcher, Gerhard,; Neumüller, Mario,; Nikolov, Aleksandar,; Stockinger, Wolfgang,; Suzuki, Kosuke,; Travaglini, Giancarlo,; Wnuk, Marcin,
• HerausgeberIn: Bilyk, Dmitriy,; Dick, Josef,; Pillichshammer, Friedrich,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2020]; ©2020
• Year of Publication: 2020
• Language: English
• Series: Radon Series on Computational and Applied Mathematics , 26
• Physical Description: 1 online resource (IX, 216 p.)

The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, in...

Table of Contents

• Frontmatter
• Preface
• Contents
• 1. On some recent developments in uniform distribution and discrepancy theory
• 2. Results and problems old and new in discrepancy theory
• 3. On negatively dependent sampling schemes, variance reduction, and probabilistic upper discrepancy bounds
• 4. Recent advances in higher order quasi-Monte Carlo methods
• 5. On the asymptotic behavior of the sine productΠnr =1 /2 sin πrα/
• 6. Fibonacci lattices have minimal dispersion on the two-dimensional torus
• 7. On pair correlation of sequences
• 8. Some of Jiří Matoušek’s contributions to combinatorial discrepancy theory
• 9. Fourier analytic techniques for lattice point discrepancy