Editor in Chief - Anry Nersessian (Institute of Mathematics NAS, Armenia)
Deputy Editor - Rafayel Barkhudaryan (Institute of Mathematics NAS, Armenia)
Managing Editor - Linda Khachatryan (Institute of Mathematics NAS, Armenia)
e-mail: ajm@instmath.sci.am
According to the latest Scimago Journal Rank, Armenian Journal of Mathematics has maintained its position in Q3 with an SJR score of 0.36.
Read more about Armenian Journal of Mathematics has been recognized as a Q3 journal in SJRIn this paper, we define a generalized Gibbs formula based on the concept of transition energy. This formula establishes a duality between energy and probability. Using this duality, we derive properties of transition energy from known properties of probability.
S. Dachian and B.S. Nahapetian, Description of specifications by means of probability distributions in small volumes under condition of very week positivity. J. Stat. Phys., 117 (2004), pp. 281-300.
S. Dachian and B.S. Nahapetian, On the relationship of energy and probability in models of classical statistical physics. Markov Processes Relat. Fields, 25 (2019), no. 4, pp. 649-681.
R.L. Dobrushin, The description of a random field by means of conditional probabilities and conditions of its regularity. Theory Probab. Appl., 13 (1968), no. 2, pp. 197-224.
H.-O. Georgii, Gibbs measures and phase transitions, De Gruyter, Berlin, 1988.
R. Feynman, Statistical Mechanics: A Set of Lectures. W.A. Benjamin, Inc., 1972.
L.A. Khachatryan and B.S. Nahapetian, On the characterization of a finite random field by conditional distribution and its Gibbs form. J. Theor. Probab., 36 (2023), pp. 1743-1761.
L.A. Khachatryan and B.S. Nahapetian, Duality of energy and probability in finite-volume models of statistical physics. Reports of NAS RA, 123 (2023), no. 3-4, pp. 7-14.
L.A. Khachatryan and B.S. Nahapetian, Additivity of transition energy and its applications. Armen. J. Math., 18 (2026), no. 7, pp. 1-19.
C. Preston, Random Fields. Springer-Verlag, Berlin, 1976.
Ya.G. Sinai, Theory of phase transitions – Rigorous results. Pergamon, Oxford, 1982.
Armenian Journal of Mathematics (Armen.J.Math.) aims to publish original research papers and survey articles in all areas of mathematics, enhance the interests, talents, and achievements of all individuals in theoretical mathematics and its applications.
Armen.J.Math. accepts also review articles, short communications, conference proceedings, algorithms, PhD and doctoral theses and other items with a detailed exposition of results, proofs, numerical experiments and examples. One of the purposes is to reflect the progress of the mathematical research in Armenia and, by providing an international forum, to stimulate its further developments.
Armen.J.Math. takes advantage of the World Wide Web as a publication medium for materials containing dynamic, full-color graphics; internal and external hyperlinks to related resources; and other Web-based features.
Papers will be presented on the internet immediately after they are accepted for publication. Full-text access to all papers is available for free so as to reach the widest possible audiences.
Armen.J.Math. welcomes contributors, referees, and readers from all countries.
