10 citations · 10 across the 2 of their papers we have counts for
4 papers
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…
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…
Fine group gradings of the real forms of $sl(4,\C)$, $sp(4,\C)$, and $o(4,\C)$
Jiří Patera, Edita Pelantová, Milena Svobodová
We present an explicit description of the 'fine group gradings' (i.e. group gradings which cannot be further refined) of the real forms of the semisimple Lie algebras $sl(4,\C)$, $…
Quasicrystals: algebraic, combinatorial and geometrical aspects
Edita Pelantová, Zuzana Masáková
The paper presents mathematical models of quasicrystals with particular attention given to cut-and-project sets. We summarize the properties of higher-dimensional quasicrystal mode…