10 citations · 28 across the 12 of their papers we have counts for
18 papers
On positional representation of integer vectors
Edita Pelantová, Tomáš Vávra
We show that any matrix with integer entries and can be equipped by a finite digit set such that any integer -…
On the Markov numbers: fixed numerator, denominator, and sum conjectures
Clément Lagisquet, Edita Pelantová, Sébastien Tavenas +1
The Markov numbers are the positive integer solutions of the Diophantine equation . Already in 1880, Markov showed that all these solutions could be generat…
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…
On morphisms preserving palindromic richness
Francesco Dolce, Edita Pelantová
It is known that each word of length contains at most distinct palindromes. A finite rich word is a word with maximal number of palindromic factors. The definition of pal…
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…
On Sturmian substitutions closed under derivation
Edita Pelantová, Štěpán Starosta
Occurrences of a factor in an infinite uniformly recurrent sequence can be encoded by an infinite sequence over a finite alphabet. This sequence is usually denoted ${…