2 papers
math.NT2006
Singular probability distributions and fractal properties of sets of real numbers defined by the asymptotic frequencies of their s-adic digits
S. Albeverio, M. Pratsiovytyi, G. Torbin
Properties of the set of "particularly non-normal numbers" of the unit interval are studied in details ( consists of real numbers , some of whose s-adic digits have t…
math.PR2003
-representation of real numbers and fractal probability distributions
Sergio Albeverio, Volodymyr Koshmanenko, Mykola Pratsiovytyi +1
A representation of real numbers is introduced as a generalization of the adic and representations. It is shown that the representation may…