# Linda Khachatryan's Publications (Full profile)

### Preprint

- Gibbs scheme in the theory of random fields, arXiv:2408.15369 [math.PR], pp. 19, (2024)
- On Khinchin's theorem about the special role of the Gaussian distribution, arxiv: 2303.15091 [math.PR], pp. 5, (2023)
- Description of random fields by systems of conditional distributions, arXiv:2202.09158 [math.PR], (2022)
- On the characterization of a finite random field by conditional distribution and its Gibbs form, arXiv:2201.09229 [math.PR], (2022)

### Paper

- Duality of energy and probability in finite-volume models of statistical physics, Reports of NAS RA, 123, (3-4), pp. 7-14, (2023)
- On Khinchin’s theorem about the special role of the Gaussian distribution, Journal of Contemporary Mathematical Analysis, 58, (6), pp. 400-404, (2023)
- On the characterization of a finite random field by conditional distribution and its Gibbs form, Journal of Theoretical Probability, 36, pp. 1743–1761, (2023)
- Description of random fields by systems of conditional distributions, Armenian Journal of Mathematics, 14, (8), pp. 1-40, (2022)
- Combinatorial approach to the description of random fields, Lobachevskii Journal of Mathematics, 42, (10), pp. 2337–2347, (2021)
- On direct and inverse problems in the description of lattice random fields, Proceedings of the XI international conference stochastic and analytic methods in mathematical physics, Lectures in pure and applied mathematics, 6, pp. 107--116, (2020)
- On a class of infinite systems of linear equations originating in statistical physics, Lobachevskii Journal of Mathematics, 40, (8), pp. 1090-1101, (2019)
- Non–linear functionals preserving normal distribution and their asymptotic normality, Armenian Journal of Mathematics , 10, (5), pp. 1-20, (2018)
- О некоторых функционалах на пространстве конфигураций, ассоциированных со спецификациями случайных полей, Материалы Тринадцатой международной Казанской летней научной школы-конференции «Теория функций, ее приложения и смежные вопросы», 54, pp. 271-275, (2017)
- Local limit theorem for conditionally independent random fields, Kazan state power engineering university bulletin, 1, pp. 7-21, (2016)
- Accuracy of the Gaussian approximation for the martingale--difference random fields (in Russian), Izvestia NAS of Armenia, 49, pp. 81-88, (2014)
- Asymptotic form of moments of sums of components of martingale--difference random fields (in Russian), Vestnik of Russian-Armenian (Slavonic) University, 2, pp. 3-15, (2013)
- Multidimensional martingales associated with the Ising model, Kazan state power engineering university bulletin, 4, pp. 87-101, (2013)
- Принцип рандомизации в построении многомерных мартингалов, Известия НАН Армении, 48, (1), pp. 53-70, (2013)

### Conference Paper

- Duality of energy and probability in models of statistical physics, Abstracts of International Conference "Mathematics in Armenia", Yerevan, July 2-8, pp. 53, (2023)
- Gibbs measure. Evolution of definition and Dobrushin’s thesis, Abstracts of International Conference dedicated to the 90th birthday of Ildar Ibragimov, St Petersburg, September 30 – October 2, pp. 8-9, (2022)
- Adjointness of probability and energy in models of statistical physics, Abstracts of International Conference on Probability Theory and Statistics dedicated to the 75-th anniversary of Prof. E. Khmaladze, 9 - 13 September, Tbilisi, pp. 19, (2019)
- Discrete and inverse problems in the theory of description of random fields, Abstracts of XI International conference Stochastic and Analytic Methods in Mathematical Physics, 2 - 7 September, Yerevan, pp. 22-23, (2019)
- On a class of infinite systems of linear algebraic equations, arising in statistical physics, Conference Dedicated to the Memory of Academician Mkhitar Djrbashyan, pp. 53, (2018)
- Non-linear functionals preserving normal distribution and their asymptotic normality, Abstracts of VII Russian-Armenian Meeting on Mathematical Physics, Complex Analysis and Related Topics, 9 – 15 September, Yerevan, pp. 82-83, (2018)
- Martingale method: applications in the theory of limit theorems and mathematical statistical physics, Abstracts of X International conference Stochastic and Analytic Methods in Mathematical Physics, Yerevan, pp. 28, (2016)
- Local limit theorem for conditionally independent random fields, Abstracts of Annual Session of Armenian Mathematical Union , pp. 79-80, (2016)
- Martingale method in the theory of random fields, Caucasian Mathematics Conference CMC I, Tbilisi, Georgia, pp. 115-116, (2014)
- Martingale method in the theory of random fields and its application in statistical physics, Second International Conference Mathematics in Armenia, Tsaghkadzor, pp. 96-97, (2013)
- Convergence rate in the central limit theorem for martingale-difference random fields, Armenian Mathematical Union Annual Session, pp. 67-69, (2013)
- The martingale method in the theory of random fields, Armenian Mathematical Union Annual Session, pp. 89-91, (2012)

### Book

- Вероятностные методы в дискретных задачах, Ереван, Гитутюн, 395c., (2016)

### Thesis

- Мартингал-разностные случайные поля и некоторые их применения, (2014)