Expansions in multiple bases over general alphabets
Expansions in non-integer bases have been extensively investigated since a pioneering work of R\'enyi. We introduce a more general framework of alphabet-base systems that also includes Pedicini's general alphabets and the multiple-base expansions of Neunh\"auserer and Li. We extend the Parry type lexicographic theory to this setup, and we improve and generalize various former results on unique expansions.
PDF AbstractCategories
Combinatorics
Number Theory
11A63 (Primary) 37B10 (Secondary)
