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Decoherence for Markov chains

Operator Algebras 2022-08-05 v1 Probability

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) CC^*-algebra, and the restriction of such a stochastic matrix to this subspace, indeed a CC^*-algebra under this canonical new product, generates a conservative CC^*-dynamical system.

Keywords

Cite

@article{arxiv.2202.08038,
  title  = {Decoherence for Markov chains},
  author = {Francesco Fidaleo and Elia Vincenzi},
  journal= {arXiv preprint arXiv:2202.08038},
  year   = {2022}
}

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11 pag