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Opacity of an automaton. Application to the inhomogeneous Ising chain

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Abstract

An automaton maps infinite sequences onto infinite sequences. We define the opacity as the distance between output sequences and input sequences. A transparent automaton hardly disturbs the input sequence. An opaque automaton erases some of the information contained in the input sequence. We apply these ideas to the study of the inhomogeneous Ising chain governed by the Hamiltonian

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Authors and Affiliations

  1. Department de Mathématiques, Université Bordeaux I, F-33405, Talence Cedex, France

    M. Mendes France

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  1. M. Mendes France
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Communicated by J. Fröhlich

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France, M.M. Opacity of an automaton. Application to the inhomogeneous Ising chain. Commun.Math. Phys. 139, 341–352 (1991). https://doi.org/10.1007/BF02352498

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  • DOI: https://doi.org/10.1007/BF02352498

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