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Order properties of attractive spin systems

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Abstract

Methods of constructing semigroups of operators describing interacting particle systems are reviewed. A simple proof is given showing the existence of semigroups of operators on the space of bounded Borel measurable functions for nonnegative continuous attractive spin rates along with a proof of the existence of invariant measures for the semigroups so constructed.

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  1. Department of Mathematics, University of Illinois, 1409 W. Green St., 61801, Urbana, IL, U.S.A.

    L. L. Helms

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  1. L. L. Helms
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Helms, L.L. Order properties of attractive spin systems. Acta Appl Math 2, 379–390 (1984). https://doi.org/10.1007/BF02280860

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  • DOI: https://doi.org/10.1007/BF02280860

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