Abstract
We construct a measure that corresponds to the correlation functions of equilibrium states of infinite systems of classical statistical mechanics. The correlation functions satisfy the Bogolyubov compatibility conditions. We also construct measures that correspond to the correlation functions of nonequilibrium states of infinite systems for the Boltzmann hierarchy and the Bogolyubov–Strel'tsova diffusion hierarchy.
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Petrina, D.Y. States of Infinite Equilibrium Classical Systems. Ukrainian Mathematical Journal 55, 468–480 (2003). https://doi.org/10.1023/A:1025829412225
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DOI: https://doi.org/10.1023/A:1025829412225