6 citations · 18 across the 8 of their papers we have counts for
4 papers · 2 filters
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…