Construction of \mu-normal sequences
  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 $\beta$-expansion. 
Manfred G. Madritsch, Bill Mance
math.NT