Ergodic Theory and Dynamical Systems · 2003 · 30 citations · 0 references
Natural SciencesMathematicsProbability TheoryStochastic ProcessesErgodic TheoryLimit TheoremsAsymptotic ExpansionsErgodic ProcessesErgodic PropertiesErgodicityPointwise Ergodic Theorems
In this paper, random expansions to non-integer bases \beta >1 are studied. For \beta's satisfying \beta^2=n\beta +k (with 1\leq k\leq n) and \beta^n=\beta^{n-1}+\dotsb + \beta +1 the ergodic properties of such expansions are described.