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Codes and noncommutative stochastic matrices

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.
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Submitted on : Monday, February 25, 2013 - 5:02:30 PM
Last modification on : Tuesday, October 6, 2020 - 10:56:02 AM
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Sylvain Lavallée, Christophe Reutenauer, Vladimir Retakh, Dominique Perrin. Codes and noncommutative stochastic matrices. Journal of Noncommutative Geometry, European Mathematical Society, 2010, 4 (4), pp.531-554. ⟨10.4171/JNCG/65⟩. ⟨hal-00793906⟩

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