11 citations · 44 across the 19 of their papers we have counts for
28 papers
On Periodic Alternate Base Expansions
Émilie Charlier, Célia Cisternino, Savinien Kreczman
For an alternate base , we show that if all rational numbers in the unit interval have periodic expansions with respect to the shifts…
A full characterization of Bertrand numeration systems
Émilie Charlier, Célia Cisternino, Manon Stipulanti
Among all positional numeration systems, the widely studied Bertrand numeration systems are defined by a simple criterion in terms of their numeration languages. In 1989, Bertrand-…
Spectrum, algebraicity and normalization in alternate bases
Émilie Charlier, Célia Cisternino, Zuzana Masáková +1
The first aim of this article is to give information about the algebraic properties of alternate bases determining sofic systems. We show that a…
Dynamical behavior of alternate base expansions
Émilie Charlier, Célia Cisternino, Karma Dajani
We generalize the greedy and lazy -transformations for a real base to the setting of alternate bases , which were recently introduced by t…
Expansions in Cantor real bases
Émilie Charlier, Célia Cisternino
We introduce and study series expansions of real numbers with an arbitrary Cantor real base , which we call -representations. In…
Regular sequences and synchronized sequences in abstract numeration systems
Émilie Charlier, Célia Cisternino, Manon Stipulanti
The notion of -regular sequences was generalized to abstract numeration systems by Maes and Rigo in 2002. Their definition is based on a notion of -kernel that exte…