Results 71 to 80 of about 593 (116)

Sturmian words, β-shifts, and transcendence

open access: yesTheoretical Computer Science, 2004
21 pages ...
Dong Pyo Chi, DoYong Kwon
openaire   +2 more sources

Codes of central Sturmian words

open access: yesTheoretical Computer Science, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CARPI, Arturo, de Luca A.
openaire   +5 more sources

Sturmian words and the Stern sequence

open access: yesTheoretical Computer Science, 2015
Central, standard, and Christoffel words are three strongly interrelated classes of binary finite words which represent a finite counterpart of characteristic Sturmian words. A natural arithmetization of the theory is obtained by representing central and Christoffel words by irreducible fractions labeling respectively two binary trees, the Raney (or ...
DE LUCA, ALDO, DE LUCA, ALESSANDRO
openaire   +4 more sources

Fibonacci morphisms and Sturmian words

open access: yesTheoretical Computer Science, 1991
The paper solves four problems on binary morphisms proposed by \textit{M. Kósa} [Bull. EATCS 32, 331-333 (1987)].
openaire   +2 more sources

A new geometric approach to Sturmian words

open access: yes, 2012
We introduce a new geometric approach to Sturmian words by means of a mapping that associates certain lines in the n×n-grid and sets of finite Sturmian words of length n.
Matomäki, Kaisa, Saari, Kalle
core   +1 more source

On Infinite Prefix Normal Words. [PDF]

open access: yesTheor Comput Sci, 2021
Cicalese F, Lipták Z, Rossi M.
europepmc   +1 more source

Modified complexity and $*$-Sturmian word

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1999
The authors introduce a new notion of complexity \(p^*\) for an infinite sequence over a finite alphabet. Instead of counting all the factors (blocks) of given length occurring in the sequence, they count all the blocks of given length that occur infinitely often in the sequence. Accordingly they define *-Sturmian words.
Nakashima, Izumi   +2 more
openaire   +3 more sources

Order and quasiperiodicity in episturmian words

open access: yes, 2007
We prove a refinement of a recent characterization of infinite episturmian words via lexicographic orderings (Glen-Justin-Pirillo, 2007). This allows us to easily characterize the strict episturmian words that are "infinite Lyndon words", i.e., those ...
Glen, A.
core  

Sturmian words with balanced construction

open access: yes, 2009
In this paper we define Sturmian words with balanced construction. We formulate a fixed-point theorem for Sturmian words and analyze the set of all fixed points.
Uscka-Wehlou, Hanna
core  

On the number of factors of Sturmian words

open access: yesTheoretical Computer Science, 1991
The author presents new results concerning the Sturmian words which were conjectured some years ago. The author gives and proves an exact estimation of the size of \(A_ m\) (the set of factors of length m of all the Sturmian words). He also gives a combinatorial version of the Riemann hypothesis.
openaire   +3 more sources

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