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math.PR2022★ 2 cited
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…
math.PR2022★ 5 cited
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…