2012/06/21 by Manfred G. Madritsch, Madritsch, Manfred G., Bill Mance +1
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT
paper · pdf · doi:10.48550/arxiv.1206.4950
14 pages
arxiv created 2014/10/06 · arxiv updated 2014/10/07
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 Lüroth series expansion, continued fractions expansion or β-expansion.