The Halton sequence and its discrepancy in the Cantor expansion



Haddley, Alena, Lertchoosakul, Poj and Nair, Radhakrishnan
(2017) The Halton sequence and its discrepancy in the Cantor expansion. PERIODICA MATHEMATICA HUNGARICA, 75 (1). pp. 128-141.

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Abstract

We consider variants of the Halton sequence in a generalized numeration system, called the Cantor expansion. We show that it provides a wealth of low-discrepancy sequences by giving an estimate of the (star) discrepancy of the Halton sequence in each bounded Cantor base. The techniques used in our estimation of the discrepancy are adapted from those developed by E.I. Atanassov.

Item Type: Article
Uncontrolled Keywords: Cantor expansion, Halton sequences, Hammersley point sets, Low-discrepancy sequences, Pseudorandom numbers, van der Corput sequences
Depositing User: Symplectic Admin
Date Deposited: 25 Jul 2016 16:16
Last Modified: 19 Jan 2023 07:33
DOI: 10.1007/s10998-016-0169-5
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3002524