Codes and noncommutative stochastic matrices

Sylvain Lavallée; Dominique Perrin; Vladimir Retakh; Christophe Reutenauer

doi:10.4171/jncg/65

JournalsjncgVol. 4, No. 4pp. 531–554

Codes and noncommutative stochastic matrices

Sylvain Lavallée
Université du Québec à Montréal
Dominique Perrin
Université Paris-Est Marne-la-Vallée
Vladimir Retakh
Rutgers University
Christophe Reutenauer
Université du Québec à Montréal

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Abstract

Given a matrix over a skew field fixing the column t(1,…,1), we give formulas for a row vector fixed by this matrix. The same techniques are applied to give noncommutative extensions of probabilistic properties of codes.

Cite this article

Sylvain Lavallée, Dominique Perrin, Vladimir Retakh, Christophe Reutenauer, Codes and noncommutative stochastic matrices. J. Noncommut. Geom. 4 (2010), no. 4, pp. 531–554

DOI 10.4171/JNCG/65