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On multiplicatively dependent linear numeration systems, and periodic points. (English) Zbl 1044.11004
The author proves that the conversion between two linear numeration systems whose characteristic polynomials are, respectively, equal to the minimal polynomials of two multiplicatively dependent Pisot numbers can be computed by a finite automaton.
MSC:
11A67Representation systems for integers and rationals
68Q45Formal languages and automata
37B10Symbolic dynamics
68R15Combinatorics on words
11R06Special algebraic numbers