Results 71 to 80 of about 593 (116)
Sturmian words, β-shifts, and transcendence
21 pages ...
Dong Pyo Chi, DoYong Kwon
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Codes of central Sturmian words
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CARPI, Arturo, de Luca A.
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Sturmian words and the Stern sequence
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
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Fibonacci morphisms and Sturmian words
The paper solves four problems on binary morphisms proposed by \textit{M. Kósa} [Bull. EATCS 32, 331-333 (1987)].
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A new geometric approach to Sturmian words
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
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On Infinite Prefix Normal Words. [PDF]
Cicalese F, Lipták Z, Rossi M.
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Modified complexity and $*$-Sturmian word
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
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Order and quasiperiodicity in episturmian words
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
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
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.
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