Boris Nahapetian's Publications (Full profile)

Conference Paper

  1. Khachatryan L., Nahapetian B.S., On a class of infinite systems of linear algebraic equations, arising in statistical physics, International Conference Dedicated to the Memory of Academician Mkhitar Djrbashyan, pp. 53, (2018)
  2. Khachatryan L.A., Nahapetian B.S., Non-linear functionals preserving normal distribution and their asymptotic normality, Abstracts of VII Russian-Armenian Meeting on Mathematical Physics, Complex Analysis and Related Issues, 9 – 15 September, Yerevan, pp. 82-83, (2018)
  3. Dachian S., Nahapetian B.S., On the relationship of energy and probability in models of classical statistical physics, Abstracts of VII Russian-Armenian Meeting on Mathematical Physics, Complex Analysis and Related Topics, 9 – 15 September, Yerevan, pp. 59, (2018)
  4. Нахапетян Б.С., Хачатрян Л.А., 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)
  5. Dashian S., Nahapetian B.S., On the justification of Gibbs formula, Abstracts of X International conference Stochastic and Analytic Methods in Mathematical Physics, Yerevan, pp. 19, (2016)
  6. Khachatryan L.A., Nahapetian B.S., 66. 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)
  7. Khachatryan L.A., Nahapetian B.S., Local limit theorem for conditionally independent random fields, Abstracts of Annual Session of Armenian Mathematical Union, pp. 79-80, (2016)
  8. Нахапетян Б.С., Проблема Добрушина и вопрос обоснования формулы Гиббса, 5-ое Российско-Армянское совещание по Математической физике, комплексному анализу и смежным вопросам, Ереван, pp. 44-45, (2014)
  9. Khachatryan L.A., Nahapetian B.S., Martingale method in the theory of random fields, Caucasian Mathematics Conference CMC I, Tbilisi, pp. 115-116, (2014)
  10. Dashian S., Nahapetian B.S., The reconstruction of specification by its one-point subsystem and justification for Gibbs formula, II International Conference Mathematics in Armenia, Tsaghkadzor, pp. 110-112, (2013)
  11. Horomyan G.T., Nahapetian B.S., An algebraic approach to the problem of description of specifications by means of one-point distributions, IX International Conference Stochastic and Analytic Methods in Mathematical Physics, Yerevan, (2012)
  12. Khachatryan L.A., Nahapetian B.S., The martingale method in the theory of random fields, IX International Conference Stochastic and Analytic Methods in Mathematical Physics, Yerevan, (2012)
  13. Horomyan G.T., Nahapetian B.S., On functional equations in problems of description of random field’s specifications, Armenian Mathematical Union Annual Session, Yerevan, pp. 86-89, (2012)
  14. Khachatryan L.A., Nahapetian B.S., The martingale method in the theory of random fields, Armenian Mathematical Union Annual Session, Yerevan, pp. 89-91, (2012)
  15. Nahapetian B.S., An Alternative Approach to the Gibbs Theory, VIII International Conference Probabilistic and Analytical Methods in Mathematical Physics, Tsahkadzor, pp. 17-18, (2009)
  16. Nahapetian B.S., Description of specifications by means of probability distributions in small volumes, International conference “Mathematics in Armenia”, Tsahkadzor, pp. 31-33, (2003)
  17. Nahapetian B.S., The law of iterated logarithm for dependent random variables, V Vilnius International Conference on Probability Theory and Mathematical Statistics, Vilnius, (1989)
  18. Nahapetian B.S., Limit theorem under generalized mixing conditions, IV Vilnius International Conference on Probability Theory and Mathematical Statistics, Vilnius, (1985)
  19. Arzumanian V., Nahapetian B.S., Pogosian S., Cluster properties of discrete systems, VI International Symposium of Information Theory, Tashkent, (1984)
  20. Nahapetian B.S., Limit theorems for dependent random variables, VI International Symposium of Information Theory, Tashkent, (1984)
  21. Nahapetian B.S., Perturbation of Poisson random field and condition of weak dependence for Gibbs random fields, III Vilnius International Conference on Probability Theory and Mathematical Statistics, (1981)
  22. Nahapetian B.S., On a behaviour of correlation function of stationary random process, V-th International Symposium on Information Theory, (1979)
  23. Nahapetian B.S., On a criterion of weak dependence for random variables, II Vilnius International Conference on Probability Theory and Mathematical Statistics, (1977)

Paper

  1. Khachatryan L.A, Nahapetian B.S., Non-linear functionals preserving normal distribution and their asymptotic normality, Armenian Journal of Mathematics, 10, (5), pp. 1-20, (2018)
  2. Khachatryan L.A., Nahapetian B.S., Local limit theorem for conditionally independent random fields, Vestnik of Kazan State Power Engineering University, 1, (2016)
  3. Arzumanian V., Nahapetian B.S., Consistent systems of finite dimensional distributions, Armenian Journal of Mathematics, 7, (2), pp. 146-163, (2015)
  4. Khachatryan L.A., Nahapetian B.S., Multidimensional martingales associated with the Ising model, Vestnik of Kazan State Power Engineering University, 4, pp. 87–101, (2013)
  5. Horomyan G., Nahapetian B.S., An algebraic approach to the problem of specification description by means of one-point subsystems, Journal of Contemporary Mathematical Analysis, 48, (1), pp. 46–49, (2013)
  6. Khachatryan L.A., Nahapetian B.S., Randomization in the construction of multidimensional martingales, Journal of Contemporary Mathematical Analysis, 48, (1), pp. 35–45, (2013)
  7. Dalalyan A., Nahapetian B.S., Description of random fields by means of one-point finite conditional distribution, Journal of Contemporary Mathematical Analysis, 46, pp. 113–119, (2011)
  8. Dashian S., Nahapetian B.S., On Gibbsianness of Random Fields, Markov Processes and Related Fields, 15, pp. 81–104, (2009)
  9. Dashian S., Nahapetian B.S., Description of specifications by means of probability distributions in small volumes under condition of very weak positivity, Journal of Statistical Physics, 117, (1-2), pp. 281–300, (2004)
  10. Нахапетян Б.С., Петросян А., О скорости сходимости в центральной предельной теореме для мартингал-разностных случайных полей, Известия АН Арм.ССР, серия «Математика», 39, (2), pp. 59–68, (2004)
  11. Dashian S., Nahapetian B.S., Description of random fields by means of one-point conditional distributions and some applications, Markov Processes and Related Fields, 7, pp. 193–214, (2001)
  12. Nahapetian B.S., An approach towards description of random fields, Seminary di Probabilita’e Statistica Mathematica, pp. 1-20, (1998)
  13. Nahapetian B.S., Models with even potentials and the behaviour of total spin at the critical point, Communications in Mathematical Physics, 189, (2), pp. 513–519, (1997)
  14. Нахапетян Б.С., Сильная выпуклость давления для спиновых решетчатых систем, Успехи Математических Наук, 52, (2 (314)), pp. 101-108, (1997)
  15. Dashian S., Nahapetian B.S., Inclusion-Exclusion description of random fields, Journal of Contemporary Mathematical Analysis, 30, (6), pp. 50–61, (1995)
  16. Nahapetian B.S., Total spin asymptotic normality at the critical point for a classical statistical physics model, Journal of Contemporary Mathematical Analysis, 30, (6), pp. 71–76, (1995)
  17. Nahapetian B.S., Petrosian A., Limit theorems for martingale-difference random fields, Journal of Contemporary Mathematical Analysis, 30, (6), pp. 2–17, (1995)
  18. Nahapetian B.S., Billingsley-Ibragimov theorem for martingale-difference random fields and its applications to some models of classical statistical physics, C.R. Acad. Sci. Paris, 320, (1), pp. 1539–1544, (1995)
  19. Nahapetian B.S., Pogosian S., Decay of correlations in classical lattice spin systems with vacuum, Journal of Contemporary Mathematical Analysis, 30, (6), pp. 29–49, (1995)
  20. Арзуманян В., Нахапетян Б.С., Некоммутативные аналоги центральной предельной теоремы для решетчатых случайных полей, Известия АН Арм.ССР, серия «Математика», 28, (6), pp. 1–10, (1993)
  21. Нахапетян Б.С., Погосян С., Оценка скорости сходимости в локальной предельной теореме для числа частиц в спиновых системах, Теоретическая и математическая физика, 95, (3), pp. 497–512, (1993)
  22. Nahapetian B.S., Petrosian A., Martingale-difference Gibbs random fields and central limit theorem, Annales Acad. Sci. Fennical, Ser A, I. Mathematica, 17, pp. 105–110 , (1992)
  23. Arzumanian V., Nahapetian B.S., Pogosian S., Classical spin lattice systems with vacuum, Acta Applicandae Mathematicae, 22, pp. 33–53, (1991)
  24. Арзуманян В., Нахапетян Б.С., Погосян С., Локальная предельная теорема для числа частиц в спиновых решетчатых системах, Теоретическая и математическая физика, 89, (2), pp. 178–189, (1991)
  25. Арзуманян В., Нахапетян Б.С., Погосян С., Асимптотическое разложение логарифма статсуммы в спиновых решетчатых системах с вакуумом, Теоретическая и математическая физика, 81, (2), pp. 175–184, (1989)
  26. Nahapetian B.S., On the Dobrushin’s hypothesis, Probability and Mathematical Statistics, 9, (2), pp. 113–121, (1988)
  27. Нахапетян Б.С., Об одном подходе к доказательству предельных теорем для зависимых случайных величин, Теория вероятностей и ее применения, 3, pp. 589–594, (1987)
  28. Нахапетян Б.С., Петросян А., Центральная предельная теорема для мартингалов, ассоциированных с последовательностями возрастающих множеств, ДАН Арм.ССР, 85, (1), pp. 12–15, (1987)
  29. Нахапетян Б.С., К предельным теоремам для зависимых случайных величин, ДАН Арм.ССР, 82, (3), pp. 99–101, (1986)
  30. Арзуманян В., Нахапетян Б.С., Погосян С., Кластерные свойства классических спиновых решеточных систем с вакуумом, Теоретическая и математическая физика, 67, (1), pp. 21-31, (1986)
  31. Арзуманян В., Нахапетян Б.С., Погосян С., Кластерные оценки для дискретных систем с непрерывным спином, ДАН Арм.ССР, 80, (2), pp. 195–198, (1985)
  32. Nahapetian B.S., Palm distribution and limit theorems for the random point processes in Rn, Probability and Mathematical Statistics, 4, (2), pp. 123–132, (1984)
  33. Нахапетян Б.С., О поведении корреляционной функции стационарного случайного процесса, ДАН Арм.ССР, 74, (3), pp. 109–112, (1982)
  34. Нахапетян Б.С., Амбарцумян Р.В., Распределение Пальма и предельные теоремы для точечных случайных процессов, ДАН Арм.ССР, 71, (2), pp. 87–90, (1980)
  35. Нахапетян Б.С., Об одном критерии слабой зависимости, Теория вероятностей и ее применения, 2, pp. 374–381, (1980)
  36. Nahapetian B.S., Limit theorems and statistical mechanics, Colloquia Mathematica Societatis Janos Bolyai, 27, pp. 799–820, (1979)
  37. Нахапетян Б.С., Центральная предельная теорема для одного класса функционалов от случайного поля, ДАН Арм.ССР, 66, (2), pp. 80–83, (1978)
  38. Нахапетян Б.С., Центральная предельная теорема для случайных полей, удовлетворяющих условию сильного перемешивания, ДАН Арм.ССР, 61, (4), pp. 210-213, (1975)
  39. Нахапетян Б.С., Сильное перемешивание гиббсовского случайного поля с дискретным аргументом и некоторые его применения, Известия АН Арм.ССР, серия «Математика», 3, pp. 242-254, (1975)
  40. Добрушин Р.Л., Нахапетян Б.С., Сильная выпуклость давления для решетчатых систем классической статистической физики, Теоретическая и Математическая физика, 20, (2), pp. 223-234, (1974)

Book

  1. Нахапетян Б.С., Хачатрян Л.А., Вероятностные методы в дискретных задачах, Ереван, Гитутюн, 395c., (2016)
  2. Nahapetian B.S., Limit Theorems and Some Applications in Statistical Physics (244p.), Teubner-Texte zur Mathematik, 123, (1991, 2013)
  3. Нахапетян Б.С., Центральная предельная теорема для случайных полей, удовлетворяющих условию сильного перемешивания, Многокомпонентные случайные системы, pp. 276–287, (1978)
    Published translation
    Central Limit Theorem for random fields with mixing property,
    Multicomponent Random Systems, Dekker
    , pp. 531–548
    (1980)

Preprint

  1. Nahapetian B.S., Description of specifications by means of probability distributions in small volumes under condition of very weak positivity, Laboratoire De Mathematiques appliqués, University Blasé Pascale, Preprint 6620 (17p.), (2002)
  2. Dashian S., Nahapetian B.S., An approach towards description of random fields, University du Main, Preprint № 98-5 (37p.), (1998)
  3. Nahapetian B.S., Martingale-difference random fields. Limit theorems and some applications, The Erwin Schredinger International Institute in Mathematical Physics, Vienna, Preprint ESI 283 (22p.), (1995)

Thesis

  1. Nahapetian B.S., Weakly dependent random fields and the problem of summation for Gibbs fields in large volumes, (Doctor of Science), (1990)
  2. Nahapetian B.S., Strong mixing property of the Gibbs random field and some of its applications, (Ph.D), (1976)