10 citations · 18 across the 6 of their papers we have counts for
6 papers
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…
Palindromic Saturation
L. Balková, E. Pelantová
We consider two {seemingly} different definitions of infinite words which contain {the} utmost number of palindromes. We show that these two definitions coincide. {The keynote of t…
Classification of the conditionally observable spectra exhibiting central symmetry
Jun-Hua Chen, Edita Pelantova, Miloslav Znojil
We show how in PT-symmetric 2J-level quantum systems the assumption of an upside-down symmetry (or duality) of their spectra simplifies their classification based on the non-equiva…
Sturm numbers and substitution invariance of 3iet words
Pierre Arnoux, Valérie Berthé, Zuzana Masáková +1
In this paper, we give a necessary condition for an infinite word defined by a non-degenerate interval exchange on three intervals (3iet word) to be invariant by a substitution: a…
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…