10 citations · 26 across the 11 of their papers we have counts for
14 papers
Parry condition, existence and uniqueness of alternate bases
Émilie Charlier, Savinien Kreczman, Zuzana Masáková +1
Alternate bases are a numeration system that generalizes the Rényi numeration system. It is common in this context to construct examples or counter-examples by specifying the expan…
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…
Lattice Bounded Distance Equivalence for 1D Delone Sets with Finite Local Complexity
Petr Ambrož, Zuzana Masáková, Edita Pelantová
Spectra of suitably chosen Pisot-Vijayaraghavan numbers represent non-trivial examples of self-similar Delone point sets of finite local complexity, indispensable in quasicrystal m…
Finiteness and periodicity of continued fractions over quadratic number fields
Zuzana Masáková, Tomáš Vávra, Francesco Veneziano
We consider continued fractions with partial quotients in the ring of integers of a quadratic number field and we prove a generalization to such continued fractions of the clas…
On generalized self-similarities of cut-and-project sets
Zuzana Masáková, Jan Mazáč, Edita Pelantová
Cut-and-project sets represent one of the types of uniformly discrete relatively dense sets. They arise by projection of a section of a higher-dimensional la…
Palindromic length of words and morphisms in class
Petr Ambrož, Ondřej Kadlec, Zuzana Masáková +1
We study the palindromic length of factors of infinite words fixed by morphisms of the so-called class introduced by Hof, Knill and Simon. We show that it grows at mo…