7 citations · 28 across the 22 of their papers we have counts for
25 papers
Finiteness property in Cantor real numeration systems
Zuzana Masáková, Edita Pelantová, Katarína Studeničová
For alternate Cantor real base numeration systems we generalize the result of Frougny and~Solomyak on~arithmetics on the set of numbers with finite expansion. We provide a class of…
Morphisms generating antipalindromic words
Petr Ambrož, Zuzana Masáková, Edita Pelantová
We introduce two classes of morphisms over the alphabet whose fixed points contain infinitely many antipalindromic factors. An antipalindrome is a finite word invariant…
On the spectra of Pisot-cyclotomic numbers
Kevin G. Hare, Zuzana Masáková, Tomáš Vávra
We investigate the complex spectra \[ X^{\mathcal A}(β)=\left\{\sum_{j=0}^na_jβ^j : n\in{\mathbb N},\ a_j\in{\mathcal A}\right\} \] where is a quadratic or cubic Pisot-cyclotom…
Confluent Parry numbers, their spectra, and integers in positive- and negative-base number systems
Daniel Dombek, Zuzana Masáková, Tomáš Vávra
In this paper we study the expansions of real numbers in positive and negative real base as introduced by Rényi, and Ito & Sadahiro, respectively. In particular, we compare the set…
Enumerating Abelian Returns to Prefixes of Sturmian Words
Zuzana Masáková, Edita Pelantová
We follow the works of Puzynina and Zamboni, and Rigo et al. on abelian returns in Sturmian words. We determine the cardinality of the set of abelian returns of a…
Integers in number systems with positive and negative quadratic Pisot base
Zuzana Masáková, Tomáš Vávra
We consider numeration systems with base and , for quadratic Pisot numbers and focus on comparing the combinatorial structure of the sets and of number…