3 papers
math.PR2025
Transition energy fields in the method of correlation equations
Linda A. Khachatryan, Boris S. Nahapetian
In this paper, the well-known method of correlation equations for constructing Gibbs measures is generalized based on the concept of the transition energy field. Using the properti…
math.PR2024
Gibbs scheme in the theory of random fields
L. A. Khachatryan, B. S. Nahapetian
The purpose of this work is to expand and clarify the concept of the class of Gibbs random fields and give its structure the form accepted in the theory of random processes. It is…
math.PR2018
On the relationship of energy and probability in models of classical statistical physics
S Dachian, B Nahapetian
In this paper we present a new point of view on the mathematical foundations of statistical physics of infinite volume systems. This viewpoint is based on the newly introduced noti…