Article
Hybridization of Van Der Corput Sequences and Polynomial Weyl Sequences
Authors
Abstract
In this paper, we consider the hybridization of van der Corput sequences and polynomial Weyl sequences, which includes the former as one ex- treme of base polynomial of degree one, and the latter as the other extreme of base polynomial of degree infinity. We show that between these two extremes the hybridization provides one-dimensional low-discrepancy sequences for base poly- nomial of any positive degree, and thereby leads to a new construction of digital (0, 1)-sequences.
Keywords
low-discrepancy sequences, polynomial Weyl sequences, van der Corput se quences, (t, 1)-sequences.
Citation
Tezuka, S. (2013). Hybridization of van der corput sequences and polynomial weyl sequences. Uniform Distribution Theory, 8(2), 29–38.
S. Tezuka, “Hybridization of van der corput sequences and polynomial weyl sequences,” Uniform Distribution Theory, vol. 8, no. 2, pp. 29–38, 2013.
Tezuka S. Hybridization of van der corput sequences and polynomial weyl sequences. Uniform Distribution Theory. 2013;8(2):29–38.
Tezuka, S. (2013), ‘Hybridization of van der corput sequences and polynomial weyl sequences’, Uniform Distribution Theory, 8(2), pp. 29–38.
Tezuka, Shu. “Hybridization of Van Der Corput Sequences and Polynomial Weyl Sequences.” Uniform Distribution Theory, vol. 8, no. 2, 2013, pp. 29–38.
Tezuka, Shu. “Hybridization of Van Der Corput Sequences and Polynomial Weyl Sequences.” Uniform Distribution Theory 8, no. 2 (2013): 29–38.
Export citation
Published by: Engineering Journals
