On the independence of greedy expansions of certain algebraic numbers in a Pisot or Salem base.

Let β be a Pisot or Salem number with β > 1, and let α1 and α2 be elements in Q (β) ∩ [0, 1). In this note, we prove that α1 and α2 have either the same tail greedy expansions in a base β or independent random greedy expansions in a base β. [ABSTRACT FROM AUTHOR]