Gottwald, Georg A.; Nicol, Matthew - In: Physica A: Statistical Mechanics and its Applications 303 (2002) 3, pp. 387-396
We study multiplicative and affine sequences of real numbers defined byN(j+1)=ζ(j)N(j)+η(j),where {ζ(j)} and {η(j)} are sequences of positive real numbers (in the multiplicative case η(j)=0 for all j). We investigate the conditions under which the leading digits k of {N(j)} have the...