Ergodic properties of β-adic Halton sequences

Abstract

We investigate a parametric extension of the classical s-dimensional Halton sequence, where the bases are special Pisot numbers. In a onedimensional setting the properties of such sequences have already been investigated by several authors [5, 8, 23, 28]. We use methods from ergodic theory to in order to investigate the distribution behavior of… (More)

Topics

Cite this paper

@inproceedings{Hofer2013ErgodicPO, title={Ergodic properties of β-adic Halton sequences}, author={Markus Hofer and Maria Rita Iac{\`o} and Robert Tichy}, year={2013} }