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CAI
2007
Springer
15 years 5 months ago
Sturmian and Episturmian Words
Abstract. This survey paper contains a description of some recent results concerning Sturmian and episturmian words, with particular emphasis on central words. We list fourteen cha...
Jean Berstel
97
Voted
TCS
2008
14 years 10 months ago
Quasiperiodic and Lyndon episturmian words
Recently the second two authors characterized quasiperiodic Sturmian words, proving that a Sturmian word is non-quasiperiodic if and only if it is an infinite Lyndon word. Here we...
Amy Glen, Florence Levé, Gwénaë...
TCS
2008
14 years 10 months ago
A characterization of fine words over a finite alphabet
To any infinite word t over a finite alphabet A we can associate two infinite words min(t) and max(t) such that any prefix of min(t) (resp. max(t)) is the lexicographically smalle...
Amy Glen
COMBINATORICS
2007
84views more  COMBINATORICS 2007»
14 years 11 months ago
A Characterization of Balanced Episturmian Sequences
It is well-known that Sturmian sequences are the non ultimately periodic sequences that are balanced over a 2-letter alphabet. They are also characterized by their complexity: the...
Geneviève Paquin, Laurent Vuillon
70
Voted
CORR
2008
Springer
97views Education» more  CORR 2008»
14 years 11 months ago
Directive words of episturmian words: equivalences and normalization
Episturmian morphisms constitute a powerful tool to study episturmian words. Indeed, any episturmian word can be infinitely decomposed over the set of pure episturmian morphisms. ...
Amy Glen, Florence Levé, Gwénaë...