Some combinatorial properties of Sturmian words
Theoretical Computer Science
Sturmian words: structure, combinatorics, and their arithmetics
Theoretical Computer Science - Special issue: formal language theory
Limit values of the recurrence quotient of Sturmian sequences
Theoretical Computer Science
Episturmian words and some constructions of de Luca and Rauzy
Theoretical Computer Science
Episturmian words and episturmian morphisms
Theoretical Computer Science
Theoretical Computer Science
Reversals and palindromes in continued fractions
Theoretical Computer Science
On different generalizations of episturmian words
Theoretical Computer Science
On a Generalization of Standard Episturmian Morphisms
DLT '08 Proceedings of the 12th international conference on Developments in Language Theory
European Journal of Combinatorics
European Journal of Combinatorics
On a Family of Morphic Images of Arnoux-Rauzy Words
LATA '09 Proceedings of the 3rd International Conference on Language and Automata Theory and Applications
Characteristic morphisms of generalized episturmian words
Theoretical Computer Science
A new characteristic property of rich words
Theoretical Computer Science
Lyndon words and Fibonacci numbers
Journal of Combinatorial Theory Series A
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Let w be an infinite word on an alphabet A. We denote by (ni)i ≥ 1 the increasing sequence (assumed to be infinite) of all lengths of palindromic prefixes of w. In this text, we give an explicit construction of all words w such that ni+1 ≤ 2ni + 1 for all i, and study these words. Special examples include characteristic Sturmian words, and more generally standard episturmian words. As an application, we study the values taken by the quantity lim supni+1/ni, and prove that it is minimal (among all nonperiodic words) for the Fibonacci word.