Abstract
We develop a combinatorial approach to the description of lattice random fields with general (Polish) state space. This approach based on so-called P-functions, which can be interpreted as a system of limiting correlation functions. We suggest a method of construction of P-functions, which can be applied in the theory of Gibbs random fields.
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Khachatryan, L.A., Nahapetian, B.S. Combinatorial Approach to the Description of Random Fields. Lobachevskii J Math 42, 2337–2347 (2021). https://doi.org/10.1134/S1995080221100103
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DOI: https://doi.org/10.1134/S1995080221100103