20 citations · 185 across the 45 of their papers we have counts for
51 papers
On a faithful representation of Sturmian morphisms
Jana Lepšová, Edita Pelantová, Štěpán Starosta
The set of morphisms mapping any Sturmian sequence to a Sturmian sequence forms together with composition the so-called monoid of Sturm. For this monoid, we defne a faithful repres…
On balanced sequences and their critical exponent
Francesco Dolce, Lubomira Dvorakova, Edita Pelantova
We study aperiodic balanced sequences over finite alphabets. A sequence vv of this type is fully characterised by a Sturmian sequence u and two constant gap sequences y and y'. We…
Complementary symmetric Rote sequences: the critical exponent and the recurrence function
Lubomíra Dvořáková, Kateřina Medková, Edita Pelantová
We determine the critical exponent and the recurrence function of complementary symmetric Rote sequences. The formulae are expressed in terms of the continued fraction expansions a…
On non-repetitive complexity of Arnoux-Rauzy words
Kateřina Medková, Edita Pelantová, Élise Vandomme
The non-repetitive complexity and the initial non-repetitive complexity are functions which reflect the structure of the infinite w…
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…
Fixed points of Sturmian morphisms and their derivated words
Karel Klouda, Kateřina Medková, Edita Pelantová +1
Any infinite uniformly recurrent word can be written as concatenation of a finite number of return words to a chosen prefix of . Ordering of the return words…