Reference : Numeration systems: a link between number theory and formal language theory
Scientific conferences in universities or research centers : Scientific conference in universities or research centers
Physical, chemical, mathematical & earth Sciences : Mathematics
Numeration systems: a link between number theory and formal language theory
Rigo, Michel mailto [Université de Liège - ULg > Département de mathématique > Mathématiques discrètes >]
VUB/ULB Math. Colloquium
Ph. Cara
[en] Numeration systems ; Automata theory ; Formal langauges
[en] In this talk, we survey facts mostly emerging from the seminal results of Alan Cobham obtained in the late sixties and early seventies about sets of integers whose base k expansions are recognized by some finite automaton. We do not expect any background from the audience, so we will present the basic definitions and many examples. We will not attempt to be exhaustive but try instead to present some actual research directions about numeration systems, recognizable sets of integers and automatic sequences. If there is enough time, we will briefly sketch some results about transcendence related to the representation of real numbers.
Researchers ; Students

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