5 citations · 11 across the 6 of their papers we have counts for
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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 Khinchin's theorem about the special role of the Gaussian distribution
Linda A. Khachatryan
The purpose of this note is to recall one remarkable theorem of Khinchin about the special role of the Gaussian distribution. This theorem allows us to give a new interpretation of…
Description of random fields by systems of conditional distributions
L. A. Khachatryan
In this paper, we consider the direct and inverse problems of the description of lattice positive random fields by various systems of finite-dimensional (as well as one-point) prob…
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…