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CAI
2007
Springer
13 years 11 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
TCS
2008
13 years 4 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
13 years 4 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»
13 years 4 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
CORR
2008
Springer
97views Education» more  CORR 2008»
13 years 4 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...