Combinatorial Approach to the Description of Random Fields

L. A. Khachatryan, Boris Nahapetian · Lobachevskii Journal of Mathematics · 2021

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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