Dynamical systems originated in the Ostrowski alpha-expansion

Abstract

on the occasion of his 65th birthday Abstract. The Ostrowski system of numeration has for scale of nu-meration the denominators of the convergents in the continued fraction expansion of a given real number. The aim of this paper is to study the topological and ergodic properties of various dynamical systems arising from this scale, especially \nows associated with multiplicative sequences for which a complete description is given. 1.