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7. On pair correlation of sequences
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Gerhard Larcher
Abstract
We give a survey on the concept of Poissonian pair correlation (PPC) of sequences in the unit interval, on existing and recent results and we state a list of open problems. Moreover, we present and discuss a quite recent multi-dimensional version of PPC.
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Abstract
We give a survey on the concept of Poissonian pair correlation (PPC) of sequences in the unit interval, on existing and recent results and we state a list of open problems. Moreover, we present and discuss a quite recent multi-dimensional version of PPC.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Kapitel in diesem Buch
- Frontmatter I
- Preface V
- Contents IX
- 1. On some recent developments in uniform distribution and discrepancy theory 1
- 2. Results and problems old and new in discrepancy theory 21
- 3. On negatively dependent sampling schemes, variance reduction, and probabilistic upper discrepancy bounds 43
- 4. Recent advances in higher order quasi-Monte Carlo methods 69
- 5. On the asymptotic behavior of the sine productΠnr =1 /2 sin πrα/ 103
- 6. Fibonacci lattices have minimal dispersion on the two-dimensional torus 117
- 7. On pair correlation of sequences 133
- 8. Some of Jiří Matoušek’s contributions to combinatorial discrepancy theory 147
- 9. Fourier analytic techniques for lattice point discrepancy 173
Kapitel in diesem Buch
- Frontmatter I
- Preface V
- Contents IX
- 1. On some recent developments in uniform distribution and discrepancy theory 1
- 2. Results and problems old and new in discrepancy theory 21
- 3. On negatively dependent sampling schemes, variance reduction, and probabilistic upper discrepancy bounds 43
- 4. Recent advances in higher order quasi-Monte Carlo methods 69
- 5. On the asymptotic behavior of the sine productΠnr =1 /2 sin πrα/ 103
- 6. Fibonacci lattices have minimal dispersion on the two-dimensional torus 117
- 7. On pair correlation of sequences 133
- 8. Some of Jiří Matoušek’s contributions to combinatorial discrepancy theory 147
- 9. Fourier analytic techniques for lattice point discrepancy 173
