Construction of \mu-normal sequences
Number Theory
2014-10-07 v3
Abstract
In the present paper we extend Champernowne's construction of normal numbers to provide sequences which are generic for a given invariant probability measure, which need not be the maximal one. We present a construction together with estimates and examples for normal numbers with respect to L\"uroth series expansion, continued fractions expansion or -expansion.
Cite
@article{arxiv.1206.4950,
title = {Construction of \mu-normal sequences},
author = {Manfred G. Madritsch and Bill Mance},
journal= {arXiv preprint arXiv:1206.4950},
year = {2014}
}
Comments
14 pages