Decoherence for Markov chains

2022/02/16 by Fidaleo, Francesco, Vincenzi, Elia
#46L40 #47A35 #47N30 #60J10 #FOS: Mathematics #Operator Algebras (math.OA) #Probability (math.PR)

paper · doi:10.48550/arxiv.2202.08038

Abstract

The subspace generated by the eigenvectors pertaining to the peripheral spectrum of any stochastic matrix is naturally equipped with a structure of a (finite dimensional abelian) C^*-algebra, and the restriction of such a stochastic matrix to this subspace, indeed a C^*-algebra under this canonical new product, generates a conservative C^*-dynamical system.

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