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Journal of Noncommutative Geometry
Article . 2010 . Peer-reviewed
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Article . 2010
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https://dx.doi.org/10.48550/ar...
Article . 2008
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Article . 2008
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Codes and noncommutative stochastic matrices

Authors: Lavallée, Sylvain; Perrin, Dominique; Retakh, Vladimir; Reutenauer, Christophe;

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.

Countries
Canada, France
Keywords

FOS: Computer and information sciences, Matrices over special rings (quaternions, finite fields, etc.), automata, Computer Science - Information Theory, prefix codes, eigenvectors, Determinants, permanents, traces, other special matrix functions, Skew fields, division rings, division rings, digraph, FOS: Mathematics, [INFO.INFO-FL] Computer Science [cs]/Formal Languages and Automata Theory [cs.FL], Prefix, length-variable, comma-free codes, noncommutative stochastic matrices, Information Theory (cs.IT), codes, Mathematics - Rings and Algebras, stochastic matrices, 16K40, 15A51, 94A45, quasi-determinants, Semigroups in automata theory, linguistics, etc., Rings and Algebras (math.RA), skew fields, free monoid, Stochastic matrices

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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gold