5 citations · 12 across the 10 of their papers we have counts for
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Note on powers in three interval exchange transformations
Daniel Lenz, Zuzana Masakova, Edita Pelantova
We study repetitions in infinite words coding exchange of three intervals with permutation (3,2,1), called 3iet words. The language of such words is determined by two parameters $\…
On the number of factors in codings of three interval exchange
Petr Ambrož, Anna Frid, Zuzana Masáková +1
We consider exchange of three intervals with permutation . The aim of this paper is to count the cardinality of the set $3\iet(N)$ of all words of length which appear…
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…
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…