6 citations · 18 across the 8 of their papers we have counts for
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Morphisms fixing words associated with exchange of three intervals
Petr Ambrož, Zuzana Masáková, Edita Pelantová
We consider words coding exchange of three intervals with permutation (3,2,1), here called 3iet words. Recently, a characterization of substitution invariant 3iet words was provide…
Relation between powers of factors and recurrence function characterizing Sturmian words
Zuzana Masáková, Edita Pelantová
In this paper we use the relation of the index of an infinite aperiodic word and its recurrence function to give another characterization of Sturmian words. As a byproduct, we give…
Characterization of substitution invariant 3iet words
P. Baláži, Z. Masáková, E. Pelantová
We study infinite words coding an orbit under an exchange of three intervals which have full complexity $\C(n)=2n+1$ for all (non-degenerate 3iet words). In terms of param…
A note on 3iet preserving morphisms
P. Ambroz, E. Pelantova
An infinite word, which is aperiodic and codes the orbit of a transformation of the exchange of three intervals is called 3iet word. Such a word is thus a natural generalization of…
Matrices of 3iet preserving morphisms
P. Ambroz, Z. Masáková, E. Pelantová
We study matrices of morphisms preserving the family of words coding 3-interval exchange transformations. It is well known that matrices of morphisms preserving sturmian words (i.e…
On a class of infinite words with affine factor complexity
J. Bernat, Z. Masáková, E. Pelantová
In this article, we consider the factor complexity of a fixed point of a primitive substitution canonically defined by a beta-numeration system. We provide a necessary and sufficie…