Representing real numbers in a generalized numeration system

Abstract. 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.

• Type: Journal
• Year: 2011
• Where: JCSS
• Authors: Emilie Charlier, Marion Le Gonidec, Michel Rigo
• Keywords: Abstract Numeration, JCSS 2011, Rational Base Numeration, Real Numbers