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TCS
2008
13 years 4 months ago
On stabilizers of infinite words
The stabilizer of an infinite word w over a finite alphabet is the monoid of morphisms over that fix w. In this paper we study various problems related to stabilizers and their g...
Dalia Krieger
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
CORR
2006
Springer
131views Education» more  CORR 2006»
13 years 4 months ago
Sequences with constant number of return words
An infinite word has the property Rm if every factor has exactly m return words. Vuillon showed that R2 characterizes Sturmian words. We prove that a word satisfies Rm if its compl...
Lubomíra Balková, Edita Pelantov&aac...
DM
2010
88views more  DM 2010»
13 years 4 months ago
Multidimensional generalized automatic sequences and shape-symmetric morphic words
An infinite word is S-automatic if, for all n 0, its (n+1)st letter is the output of a deterministic automaton fed with the representation of n in the numeration system S. In this...
Emilie Charlier, Tomi Kärki, Michel Rigo
CORR
2008
Springer
92views Education» more  CORR 2008»
13 years 4 months ago
A connection between palindromic and factor complexity using return words
In this paper we prove that for any infinite word w whose set of factors is closed under reversal, the following conditions are equivalent: (I) all complete returns to palindromes...
Michelangelo Bucci, Alessandro De Luca, Amy Glen, ...