Article
The dynamical point of view of low-discrepancy sequences (Grabner, Hellekalek, Liardet)
Authors
, and
Abstract
In this overview we show by examples, how to associate certain sequences in the higher-dimensional unit cube to suitable dynamical systems. We present methods and notions from ergodic theory that serve as tools for the study of low-discrepancy sequences and discuss an important technique, cutting- and-stacking of intervals.
Keywords
low-discrepancy sequences, b-adic integers, irregularity of distribution, discrepancy, dynamical systems.
Citation
Grabner, P. J., Hellekalek, P., & Liardet, P. (2012). The dynamical point of view of low-discrepancy sequences (grabner, hellekalek, liardet). Uniform Distribution Theory, 7(1), 11–70.
P. J. Grabner, P. Hellekalek and P. Liardet, “The dynamical point of view of low-discrepancy sequences (grabner, hellekalek, liardet),” Uniform Distribution Theory, vol. 7, no. 1, pp. 11–70, 2012.
Grabner PJ, Hellekalek P, Liardet P. The dynamical point of view of low-discrepancy sequences (grabner, hellekalek, liardet). Uniform Distribution Theory. 2012;7(1):11–70.
Grabner, P. J., Hellekalek, P. and Liardet, P. (2012), ‘The dynamical point of view of low-discrepancy sequences (grabner, hellekalek, liardet)’, Uniform Distribution Theory, 7(1), pp. 11–70.
Grabner, Peter J., et al. “The Dynamical Point of View of Low-discrepancy Sequences (Grabner, Hellekalek, Liardet).” Uniform Distribution Theory, vol. 7, no. 1, 2012, pp. 11–70.
Grabner, Peter J., Peter Hellekalek, and Pierre Liardet. “The Dynamical Point of View of Low-discrepancy Sequences (Grabner, Hellekalek, Liardet).” Uniform Distribution Theory 7, no. 1 (2012): 11–70.
Export citation
Published by: Engineering Journals
