1 citations · 2 across the 4 of their papers we have counts for
4 papers
Substitutions and Cantor real numeration systems
Emilie Charlier, Célia Cisternino, Zuzana Masáková +1
We consider Cantor real numeration system as a frame in which every non-negative real number has a positional representation. The system is defined using a bi-infinite sequence $\B…
From positional representation of numbers to positional representation of vectors
Izabella Ingrid Farkas, Edita Pelantová, Milena Svobodová
To represent real -dimensional vectors, a positional vector system given by a non-singular matrix and a digit set $\mathcal{D} \subset \mathbb{Z}…
Parallel addition in non-standard numeration systems
Christiane Frougny, Edita Pelantová, Milena Svobodová
We consider numeration systems where digits are integers and the base is an algebraic number such that and satisfies a polynomial where one coefficient is dominant…
Critical exponent of infinite words coding beta-integers associated with non-simple Parry numbers
L. Balková, K. Klouda, E. Pelantová
In this paper, we study the critical exponent of infinite words $\ubeta$ coding -integers for being a~non-simple Parry number. In other words, we investigate the maximal con…