On the structure of (−β)-integers
LIAFA, CNRS, Université Paris Diderot – Paris 7,
Paris Cedex 13,
Accepted: 11 July 2011
The (−β)-integers are natural generalisations of the β-integers, and thus of the integers, for negative real bases. When β is the analogue of a Parry number, we describe the structure of the set of (−β)-integers by a fixed point of an anti-morphism.
Key words: Beta expansion / Parry number / beta-integer / morphism / substitution
© EDP Sciences 2011