Representing real numbers in a generalized numeration system
English
Charlier, Emilie[Université de Liège - ULg > Département de mathématique > Mathématiques discrètes >]
Jun-2010
No
Yes
International
Numeration 2010
du 7 juin 2010 au 18 juin 2010
Leiden
Netherlands
[en] Abstract numeration systems ; Reak numbers ; Dyck language
[en] We show how to represent an interval of real numbers in an abstract numeration system built on a language that is not necessarily regular. As an application, we consider representations of real numbers using the Dyck language. We also show that our framework can be applied to the rational base numeration systems.