Email this article On a Class of Infinite Systems of Linear Equations Originating in Statistical Physics
- Authors: Khachatryan L.A.1, Nahapetian B.S.1
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Affiliations:
- Institute of Mathematics
- Issue: Vol 40, No 8 (2019)
- Pages: 1090-1101
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205200
- DOI: https://doi.org/10.1134/S1995080219080146
- ID: 205200
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Abstract
We show that the problem of prescribing a system of random variables by means of conditional distributions can be considered from the algebraic point of view as a problem of consistency of an appropriate infinite system of linear equations. We demonstrate also that a potential energy (transition energy field) and probability (specification) are connected as the solutions of corresponding adjoint infinite systems of linear equations.
About the authors
L. A. Khachatryan
Institute of Mathematics
Author for correspondence.
Email: linda@instmath.sci.am
Armenia, Yerevan, 0019
B. S. Nahapetian
Institute of Mathematics
Author for correspondence.
Email: nahapet@instmath.sci.am
Armenia, Yerevan, 0019
