2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60708D. Bailey and R. E. Crandall recently formulated a "Hypothesis A", which provides a general principle to explain the (conjectured) normality of constants like pi or log 2 and other related numbers, to base 2 or other integer bases. This paper explains the basic mechanism behind their principle as a connection between single orbits of two different discrete dynamical systems. It relates a subclass of arithmetical constants they consider to special values of G-functions, and characterizes this subclass. Finally it notes some parallels of "Hypothesis A" with Furstenberg's conjecture on invariant measures.Revised final version, February 2001, 21 pages, latex; small correctionsNumber TheoryDynamical Systems11K16 (Primary), 11A63, 28D05, 37E05 (Secondary)text