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On the Relationships between Some Approaches to the Solution of Kirkwood–Salsburg Equations

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Ukrainian Mathematical Journal Aims and scope

We propose a brief survey devoted to the description of the solutions of Kirkwood–Salsburg equations for correlation functions in the grand canonical ensemble. We establish analytic relationships between the Ruelle operator approach described in detail in [D. Ruelle, Statistical Mechanics. Rigorous Results, Chap. 4, Benjamin, New York (1969)] and the approach developed by Minlos and Pogosyan in [Teor. Mat. Fiz., 31, No. 2, 199 (1977)]. Based on the methods of infinite-dimensional analysis, we propose a more transparent description of the main results.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    A. L. Rebenko

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  1. A. L. Rebenko
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Correspondence to A. L. Rebenko.

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Translated from Ukrains’kyi Matematychnyi Zhurnal,Vol. 73,No.3, pp.381–394, March,2021. Ukrainian DOI: 10.37863/umzh.v73i3.6337.

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Rebenko, A.L. On the Relationships between Some Approaches to the Solution of Kirkwood–Salsburg Equations. Ukr Math J 73, 447–462 (2021). https://doi.org/10.1007/s11253-021-01935-w

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  • DOI: https://doi.org/10.1007/s11253-021-01935-w

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