Abstract
Using an idea of Minlos we characterize Gibbs processes by the property that a modified correlation function satisfies the first Kirkwood–Salsburg equation. The same idea used in a different context then yields a criterion for uniqueness of Gibbs processes in terms of the full Kirkwood–Salsburg equations. The results are illustrated by interacting hard-core cluster processes.
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Notes
Which had been introduced in [2, 5, 6].
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Poghosyan, S., Zessin, H. Characterization and Uniqueness of Gibbs Processes by Means of Kirkwood–Salsburg Equations. Lobachevskii J Math 42, 2427–2436 (2021). https://doi.org/10.1134/S199508022110019X
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DOI: https://doi.org/10.1134/S199508022110019X