On the critical pair theory in ℤ/pℤ
Yahya Ould Hamidoune, Oriol Serra, Gilles Zémor (2006)
Acta Arithmetica
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Displaying similar documents to “Density of Critical Factorizations”
On the critical pair theory in ℤ/pℤ
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Density of critical factorizations
Tero Harju, Dirk Nowotka (2002)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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We investigate the density of critical factorizations of infinite sequences of words. The density of critical factorizations of a word is the ratio between the number of positions that permit a critical factorization, and the number of all positions of a word. We give a short proof of the Critical Factorization Theorem and show that the maximal number of noncritical positions of a word between two critical ones is less than the period of that word. Therefore, we consider only words of...