5 citations · 13 across the 5 of their papers we have counts for
5 papers
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…
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…
On the characterization of a finite random field by conditional distribution and its Gibbs form
Linda A. Khachatryan, Boris S. Nahapetian
In this paper, we show that the methods of mathematical statistical physics can be successfully applied to random fields in finite volumes. As a result, we obtain simple necessary…
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…
On Gibbsianness of Random Fields
Serguei Dachian, Boris Nahapetian
The problem of characterization of Gibbs random fields is considered. Various Gibbsianness criteria are obtained using the earlier developed one-point framework which in particular…