Cluster Property for Generalized Correlation Functions of Spin Systems
L.A. Khachatryan, B.S. Nahapetian
2026, v.32, Issue 1, 79-105
ABSTRACT
The method of correlation functions is a fundamental tool for solving
problems in mathematical statistical physics. It is used to prove the existence
of a Gibbs random field with a given potential and to establish its various
properties. Due to this, the problem of extending the method of correlation
functions to broader classes of physical systems is very relevant.
In our previous papers, the method of correlation functions was generalized
in two directions: first, by considering spin systems, and second, by applying
the concept of a transition energy field. The present paper continues the study
of generalized correlation functions. Namely, we prove the group property of
correlation functions, which represents a certain type of decay of dependencies
between the components of the system.
doi:10.61102/1024-2953-mprf.2026.32.1.004
Keywords: Anderson localization, limit-periodic potentials, long-range hopping
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