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EJC
2007
13 years 4 months ago
Complexity of cutting words on regular tilings
: We show that the complexity of a cutting word u in a regular tiling by a polyomino Q is equal to Pn(u) = (p+q−1)n+1 for all n ≥ 0, where Pn(u) counts the number of distinct f...
Pascal Hubert, Laurent Vuillon
MFCS
2004
Springer
13 years 10 months ago
A Generalization of Repetition Threshold
Brandenburg and (implicitly) Dejean introduced the concept of repetition threshold: the smallest real number α such that there exists an infinite word over a k-letter alphabet t...
Lucian Ilie, Pascal Ochem, Jeffrey Shallit
LATA
2009
Springer
13 years 11 months ago
On a Family of Morphic Images of Arnoux-Rauzy Words
Abstract. In this paper we prove the following result. Let s be an infinite word on a finite alphabet, and N ≥ 0 be an integer. Suppose that all left special factors of s longe...
Michelangelo Bucci, Alessandro De Luca