Preface

Chapters in this book

1. Frontmatter I
2. Preface V
3. Contents IX
4. 1. On some recent developments in uniform distribution and discrepancy theory 1
5. 2. Results and problems old and new in discrepancy theory 21
6. 3. On negatively dependent sampling schemes, variance reduction, and probabilistic upper discrepancy bounds 43
7. 4. Recent advances in higher order quasi-Monte Carlo methods 69
8. 5. On the asymptotic behavior of the sine productΠⁿ_{r =1} /2 sin πrα/ 103
9. 6. Fibonacci lattices have minimal dispersion on the two-dimensional torus 117
10. 7. On pair correlation of sequences 133
11. 8. Some of Jiří Matoušek’s contributions to combinatorial discrepancy theory 147
12. 9. Fourier analytic techniques for lattice point discrepancy 173