𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some distribution properties of 0,1-sequences

✍ Scribed by Peter Kirschenhofer; Robert F. Tichy


Publisher
Springer
Year
1985
Tongue
English
Weight
478 KB
Volume
54
Category
Article
ISSN
0025-2611

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Some Properties of Uniformly Distributed
✍ Y.N. Sun πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 258 KB

We show that if a transformation \(T\) on the unit interval is surjective, piecewise continuously differentiable, and uniform distribution preserving, then every u.d. sequence \(\bmod 1\) is the image of some other u.d. sequence \(\bmod 1\) induced by \(T\). As a consequence, we obtain that every u.

On the discrepancy of (0,1)-sequences
✍ Friedrich Pillichshammer πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 236 KB

We give bounds for the L p -discrepancy, pAN; of the van der Corput sequence in base 2. Further, we give a best possible upper bound for the star discrepancy of ð0; 1Þ-sequences and show that this bound is attained for the van der Corput sequence. Finally, we give a ð0; 1Þsequence with essentially s