2024 |
Veretennikov A., Alexander Veretennikov, On Higher Order Moments and Rates of Convergence for SDEs with Switching,
Moscow Math. J., 2024, Issue 1, pp. 107–124, http://www.mathjournals.org/mmj/2024-024-001/2024-024-001-006.html; the preprint at arXiv:2212.13921
http://www.mathjournals.org/mmj/2024-024-001/2024-024-001-006.html
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2023 |
Veretennikov A., A.A. Shchegolev, A.Yu. Veretennikov, On Convergence Rate Bounds for a Class of Nonlinear Markov Chains, Markov processes and related fields, 2023, v.29, Issue 5, 619-639. doi:10.61102/1024-2953-mprf.2023.29.5.001; the preprint at arXiv:2209.12834 http://iitp.ru/https://math-mprf.org/journal/articles/id1689/
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Veretennikov A., Veretennikov, A. On Positive Recurrence of the Mn/GI/1/∞ Model. Mathematics 2023, 11, 4514. [Special Issue "Probability and Stochastic Processes with Applications to Communications, Systems and Networks, 2nd Edition", Eds Prof. Dr. Gurami Tsitsiashvili and Dr. Alexander Bochkov] https://doi.org/10.3390/math11214514 [Scopus Q2; WoS Q1, JCI 2022 = 2,10] http://iitp.ru/https://www.mdpi.com/2227-7390/11/21/4514
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Veretennikov A., A.Yu.Veretennikov, On averaged expected cost control for 1D controlled ergodic diffusions with switching, MPRF, 2023, 23(2), 259 - 294. [Scopus Q4, WoS? JCI 2022 = 0,15] http://iitp.ru/https://math-mprf.org/journal/articles/2023/2/
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Veretennikov A., R.Yu.Sineokiy, A.Yu.Veretennikov, On recurrence, convergence and mixing rate for generalised Wright - Fisher"s diffusion with mutation, Markov Processes and Related Fileds (MPRF), 2023, 23(2), 241 - 258. [Scopus Q4, WoS? JCI 2022 = 0,15] http://iitp.ru/https://math-mprf.org/journal/articles/2023/2/
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Veretennikov A., Special Issue dedicated to Nikita Vvedenskaya, Editorial, MPRF, 2023, 23(2), 145 - 150. http://iitp.ru/https://math-mprf.org/journal/articles/2023/2/
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Veretennikov A., Veretennikov, A. Polynomial Recurrence for SDEs with a Gradient-Type Drift, Revisited. Mathematics 2023, 11, 3096. (16 pages, 30 refs) https://doi.org/10.3390/math11143096 In the Special Issue "New Advances and Applications of Extreme Value Theory" https://www.mdpi.com/journal/mathematics/special_issues/extreme_value_theory, ed. by Prof Dr N. Markovich [Scopus Q2; WoS Q1, JCI 2022 = 2,10] http://iitp.ru/https://www.mdpi.com/2227-7390/11/14/3096
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2022 |
Veretennikov A., A.I. Nurieva, A.Yu. Veretennikov, On consistency of Bayesian parameter estimators for a class of ergodic Markov models. Reliability: Theory & Applications. 2022, vol. 17, December 4(71): 521-529. https://doi.org/10.24412/1932-2321-2022-471-521-529 [Scopus Q4; IF Scopus 2021 = 0,14] http://www.gnedenko.net/Journal/2022_4.htm
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Veretennikov A., A.Yu. Veretennikov, M.A. Veretennikova, On Markov–up processes and their recurrence properties, Reliability: Theory & Applications, Vol.17, No 3(69), 2022, 273-291; https://doi.org/10.24412/1932-2321-2022-369-273-291 [Scopus Q4; IF Scopus 2021 = 0,14] http://www.gnedenko.net/Journal/2022/032022/RTA_3_2022.pdf
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Veretennikov A., Positive recurrence of a solution of an SDE with variable switching intensities. Stoch PDE: Anal Comp, 10, 1165–1179 (2022). https://doi.org/10.1007/s40072-022-00265-7 [Stochastics and Partial Differential Equations: Analysis and Computations] (Scopus Q1; WoS Q2); SharedIt link: https://rdcu.be/cRkgO; https://doi.org/10.1007/s40072-022-00265-7 [IF Scopus =1,46 (2021)] http://iitp.ru/https://rdcu.be/cRkgO
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Veretennikov A., An open problem about the rate of convergence in Erlang-Sevastyanov’s model. Queueing Syst 100, 357–359 (2022), DOI https://doi.org/10.1007/s11134-022-09791-6, SharedIt link: https://rdcu.be/cKYtE [Scopus 2020 Q2; WoS Q4] IF WoS = 1.114; IF Scopus = 1.439 http://iitp.ru/https://rdcu.be/cKYtE
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Веретенников А.Ю., А. Ю. Веретенников, М. А. Веретенникова, “Об улучшенных оценках и условиях сходимости для цепей Маркова”, Изв. РАН. Сер. матем., 86:1 (2022), 98–133, DOI: https://doi.org/10.4213/im9076; A Yu Veretennikov, M A Veretennikova, On improved bounds and conditions for the convergence of Markov chains, Izvestiya Mathematics, 86:1 (2022), 92–125, DOI https://doi.org/10.1070/IM9076; препринт (Eng.) https://arxiv.org/abs/2006.12134 [Scopus 2020: Q1; WoS 2019-2021 Q2] http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=im&paperid=9076&option_lang=rus
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2021 |
Veretennikov A., Veretennikov A. (2021) On Positive Recurrence of One-Dimensional Diffusions with Independent Switching. In: Shiryaev A.N., Samouylov K.E., Kozyrev D.V. (eds) Recent Developments in Stochastic Methods and Applications. ICSM-5 2020. Springer Proceedings in Mathematics & Statistics, vol 371, 242 - 252. Springer, Cham. https://doi.org/10.1007/978-3-030-83266-7_18. [The series is indexed by Scopus] http://iitp.ru/https://link.springer.com/chapter/10.1007/978-3-030-83266-7_18
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Veretennikov A., Sineokiy, Roman and Veretennikov, Alexander. "On recurrent properties of Fisher--Wright"s diffusion on (0,1) with mutation" Random Operators and Stochastic Equations, vol. 29, no. 3, 2021, pp. 197-202 (%000010151520212061). https://doi.org/10.1515/rose-2021-2061 [Scopus Q3 (2019,2020), MathSciNet, WoS Q4] http://iitp.ru/https://www.degruyter.com/document/doi/10.1515/rose-2021-2061/html
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Веретенников А.Ю., О потраекторной единственности решений многомерного уравнения Маккина–Власова,
Теория вероятн. и ее примен., 2021, том 66, выпуск 3, страницы 581–588 (Mi tvp5447) [Импакт-фактор ТВиП Web of Science за 2020 год: 0.773 (Q4); Индекс Scopus 2020 SJR: 0.458 (Q3)] DOI: https://doi.org/10.4213/tvp5447 Eng: A. Yu. Veretennikov,
On Pathwise Uniqueness of Solutions for Multidimensional McKean--Vlasov Equation, Theory of Probability & Its Applications, 2021, Vol. 66, No. 3: 469-473 https://doi.org/10.1137/S0040585X97T990526
http://www.mathnet.ru/eng/tvp5447
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Veretennikov A., Note on local mixing techniques for stochastic differential equations, Modern Stochastics: Theory and Applications 8 (1) (2021) 1–15. [Scopus 2020: Q2-Q3; Scopus 2021: Q3; MathSciNet, WoS Q4] DOI: https://doi.org/10.15559/21-VMSTA174 http://iitp.ru/https://doi.org/10.15559/21-VMSTA174
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2020 |
Veretennikov A., Yu. Mishura, A. Kukush, L. Sakhno, A. Veretennikov, Editorial. Theor. Probability and Math. Statist. 102 (2020), pp. 1-4. http://iitp.ru/DOI: https://doi.org/10.1090/tpms/1140
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Veretennikov A., Yu. Mishura, L. Sakhno, A. Veretennikov, Editorial. Theor. Probability and Math. Statist. 103 (2020), pp. 1-1. http://iitp.ru/https://doi.org/10.1090/tpms/113
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Veretennikov A., Korshunov, D., Veretennikov, A. Special issue on ‘Analytical and computational methods in probability theory and its applications conference’. Queueing Syst 94, 211–212 (2020). https://doi.org/10.1007/s11134-020-09651-1 http://iitp.ru/https://link.springer.com/article/10.1007/s11134-020-09651-1
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Veretennikov A., Veretennikov A. On positive recurrence of 1D diffusions with switching, in: Сборник материалов V-й Международной конференции по стохастическим методам: The 5th International Conference on Stochastic Methods (ICSM5). 23-27 November 2020, Russia, Moscow.. M. : RUDN, 2020. P. 224-228.
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Veretennikov A., Yuliya Mishura and Alexander Veretennikov, Existence and uniqueness theorems for solutions of McKean–Vlasov stochastic equations, Theor. Probability and Math. Statist. 103 (2020), 59-101. [Scopus 2020: Q3, WoS Q4] arXiv preprint: https://arxiv.org/abs/1603.02212v4 DOI: https://doi.org/10.1090/tpms/1135 http://iitp.ru/https://www.ams.org/journals/tpms/2020-103-00/
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Veretennikov A., Anulova, S. V., Mai, H., Veretennikov A.Yu., On Iteration Improvement for Averaged Expected Cost Control for One-Dimensional Ergodic Diffusions, SIAM Journal on Control and Optimization. 2020. Vol. 58. No. 4. P. 2312-2331. doi 10.1137/19M1271944 [preprint: https://arxiv.org/abs/1812.10665] [Scopus Q1, WoS Q1] http://iitp.ru/https://epubs.siam.org/doi/10.1137/19M1271944
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Veretennikov A., A.Yu. Veretennikov, On Weak Solutions of Highly Degenerate SDEs, Automation and Remote Control, 2020, 81(3), 398-410. DOI 10.1134/S0005117920030029 [Scopus Q2/2018, Q2/2019, Q2/2020, WoS Q4]
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Веретенников А.Ю., О слабых решениях сильно вырожденных СДУ, Автомат. и телемех., 2020, 3, 28–43. DOI: https://doi.org/10.1134/S0005231019030034 [Scopus Q2/2018; Q2/2019, WoS Q4] (doi not working)
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Veretennikov A., A.Yu. Veretennikov and M.A. Veretennikova, On Convergence Rates for Homogeneous Markov Chains, Doklady Mathematics, 2020, Vol. 101, No. 1, pp. 12–15. ISSN 1064-5624, DOI: 10.1134/S1064562420010081 [Scopus Q2, WoS Q4]
SharedIt link:
https://rdcu.be/b4h3F
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Веретенников А.Ю., Веретенникова М.А., О скорости сходимости для однородных цепей Маркова, Доклады РАН, Математика, 2020, 490(1), 16-19. [Scopus Q2]
[WoS Q3] (in English DOI: 10.1134/S1064562420010081)
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Veretennikov A., On mean-field (GI/GI/1) queueing model: existence and uniqueness, Queueing Syst 2020, 94(3), 243-255. DOI 10.1007/s11134-019-09626-x
preprint https://arxiv.org/pdf/1804.07830 [Scopus Q2/2019, Q3/2018, Q2/2017, WoS Q4] http://iitp.ru/https://doi.org/10.1007/s11134-019-09626-x
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2019 |
Veretennikov A., O.V. Gulinsky, A.Yu. Veretennikov, Large deviations for discrete-time processes with averaging, De Gruyter, London et al., 2nd edition: ebook, 2019. (NB: линк работает только при наличии логина в Scopus/Elsevier) http://iitp.ru/ https://www.scopus.com/record/display.uri?eid=2-s2.0-85061277395&origin=inward&txGid=94c996f3016de7
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Veretennikov A., On Polynomial Recurrence for Reliability System with a Warm Reserve, Markov Processes and Related Fields. 2019. Vol. 25. P. 745-761. [Scopus Q3/2018] (DOI 10.1007/s11134-019-09626-x) [WoS Q4]
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Veretennikov A., O.A. Manita, A.Yu. Veretennikov, On convergence of 1D Markov diffusions to heavy-tailed invariant density, Moscow Mathematical Journal, 2019, no.1, 89-106. https://arxiv.org/abs/1807.10351 [Scopus Q2/2017, Q2/2018, Q1/2019, WoS Q3] preprint at Bielefeld Uni 18049; http://doi.org/10.17323/1609-4514-2019-19-1-89-106 http://iitp.ru/https://www.sfb1283.uni-bielefeld.de/Preprints/index/2018#467; https://arxiv.org/abs/1807.10351
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2018 |
Veretennikov A., Gulinsky O.V., Veretennikov A.Yu., Large deviations for discrete-time processes with averaging, De Gruyter. (Berlin, New York, Germany) , Reprint 2018 ed. edition (August 1, 1993), 192 p. ISBN-10: 3110423499; ISBN-13: 978-3110423495
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Veretennikov A., G. Aivaliotis, A.Yu. Veretennikov, An HJB Approach to a General Continuous-Time Mean-Variance Stochastic Control Problem, ROSE (Random Operators and Stochastic Equations), 2018, v.26, no.4, 225-234. https://doi.org/10.1515/rose-2018-0020 https://arxiv.org/abs/1508.05835 [Scopus 2014-2018 Q4; in 2019 Q3] [WoS: ] http://iitp.ru/https://www.degruyter.com/view/j/rose.ahead-of-print/rose-2018-0020/rose-2018-0020.xml
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2017 |
Veretennikov A., S.V. Anulova, H. Mai, A.Yu. Veretennikov, On averaged expected cost control as reliability for 1D ergodic diffusions, Reliabiity: Theory & Applications (RT&A) 2017, 4(47) Vol.12, 31-38. DOI: https://doi.org/10.24411/1932-2321-2017-14003 http://www.gnedenko.net/Journal/2017/042017/RTA_4_2017-03.pdf http://www.gnedenko.net/Journal/2017/042017/RTA_4_2017-03.pdf
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Veretennikov A., On mean-field GI/GI/1 queueing model: existence and uniqueness, In: ANALYTICAL AND COMPUTATIONAL METHODS IN PROBABILITY THEORY AND ITS APPLICATIONS (ACMPT-2017), Proceedings of the International Scientific Conference 23–27 October 2017, Under the general editorship of D.Sc. A.V. Lebedev, RUDN, Moscow, Russia, 182-186 [Материалы Международной научной конференции. Россия, Москва, 23–27 октября 2017 г. / под общ. ред. А. В. Лебедева. – Москва : РУДН, 2017, стр. 182-186]
http://acmpt.moscow/wp-content/uploads/2017/11/ACMPT-2017-conference-proceedings.pdf http://acmpt.moscow/wp-content/uploads/2017/11/ACMPT-2017-conference-proceedings.pdf
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Veretennikov A., A.Veretennikov. Ergodic Markov processes and Poisson equations (lecture notes). In book: Modern problems of stochastic analysis and statistics - Selected contributions in honor of Valentin Konakov (editor: V.Panov). pp. 457 - 511. Springer, 2017. http://iitp.ru/https://arxiv.org/abs/1610.09661
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Veretennikov A., On convergence rate for Erlang--Sevastyanov type models with infinitely many servers // Theory of Stochastic Processes. 2017. No. 1, 88-102; https://arxiv.org/abs/1412.3849 [Scopus Q4] http://tsp.imath.kiev.ua/files/2210/art2210_09.pdf
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2016 |
Veretennikov A., On Poisson equations with a potential in the whole space for ``ergodic" generators, Теорiя Ймовiрностей та Математична Статистика, 95, 2016, 178-188. Theor. Probability and Math. Statist. 95 (2017), 195-206. [Scopus Q4][WoS]
DOI: https://doi.org/10.1090/tpms/1029 http://arxiv-export-lb.library.cornell.edu/abs/1610.09687
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Veretennikov A., Kleptsyna M.L., On robustness of discrete time optimal filters, Mathematical Methods of Statistics (ISSN: 1066-5307 (Print) 1934-8045 (Online)), 2016, 25(3), 207-218. http://link.springer.com/journal/12004/25/3/page/1; doi:10.3103/S1066530716030042 [Scopus Q2 (2016)][WoS]
http://iitp.ru/https://arxiv.org/abs/1501.00190
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Veretennikov A., Veretennikova E.V., On partial derivatives of multivariate Bernstein polynomials, Siberian Advances in Mathematics (ISSN 1055-1344), 2016, 26(4), 231-242. DOI 10.3103/S1055134416040039 [Scopus Q4] http://iitp.ru/https://arxiv.org/pdf/1507.05235.pdf
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Веретенников А.Ю., Веретенникова Е.В., А. Ю. Веретенников, Е. В. Веретенникова, Некоторые главы анализа и приложение к финансовой математике, Учебное пособие, М., изд-во Прометей, 2016 (2е изд.) ISBN 978-5-9907452-5-4 http://sprometej.su/magazin/product/veretennikov-a-yu-veretennikova-ye-v-nekotoryye-glavy-analiza-i-
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Veretennikov A., On Recurrence and Availability Factor for Single–Server System With General Arrivals, Reliability: Theory and Applications (RT&A), 2016, vol.11, #3(42), 49-58. (http://www.gnedenko-forum.org/Journal/2016_3.htm) http://iitp.ru/https://gnedenko.net/Journal/2016/032016/RTA_3_2016-06.pdf
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Veretennikov A., Zverkina G.A., On Polynomial Bounds of Convergence for the Availability Factor, Chapter in: Distributed Computer and Communication Networks,
Volume 601 of the series Communications in Computer and Information Science, Springer, 2016, pp 358-369. DOI
10.1007/978-3-319-30843-2_37 http://link.springer.com/chapter/10.1007%2F978-3-319-30843-2_37
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Veretennikov A., Bogachev V.I., Shaposhnikov S.V., Veretennikov A.Yu. Differentiability of solutions of stationary Fokker-Planck-Kolmogorov equations with respect to a parameter, Discrete and Continuous Dynamical Systems - Series A, 36, 3519-3543, 2016.
DOI:10.3934/dcds.2016.36.3519; http://bibos.math.uni-bielefeld.de/preprints/15-05-487.pdf [Scopus Q1][WoS] http://dx.doi.org/10.3934/dcds.2016.36.3519
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Veretennikov A., G. Da Prato, F. Flandoli, M. Röckner, and A. Yu. Veretennikov,
Strong uniqueness for SDEs in Hilbert spaces with nonregular drift,
Ann. Probab. Volume 44, Number 3 (2016), 1985-2023.
https://aps.arxiv.org/abs/1404.5418 [Scopus Q1][WoS] doi:10.1214/15-AOP1016 http://iitp.ru/https://projecteuclid.org/euclid.aop/1463410037
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2015 |
Веретенников А.Ю., Веретенникова Е.В., О частных производных многомерных полиномов Бернштейна, Математические Труды, 2015, т.18, № 2, стр. 22-38.
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Веретенников А.Ю., Зверкина Г.А., On polynomial convergence rate of the availability factor to its stationary value, РАСПРЕДЕЛЕННЫЕ КОМПЬЮТЕРНЫЕ И КОММУНИКАЦИОННЫЕ СЕТИ: УПРАВЛЕНИЕ, ВЫЧИСЛЕНИЕ, СВЯЗЬ (DCCN-2015), материалы восемнадцатой международной научной конференции// DISTRIBUTED COMPUTER AND COMMUNICATION NETWORKS: CONTROL, COMPUTATION, COMMUNICATIONS (DCCN-2015),
proceedings of the eighteenth international scientific conference, Москва, ИПУ РАН, 2015, P. 168-175.[WoS] http://www.dccn2015.com/uploads/submitted_papers/Veretennikov_Zverkina.pdf
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Веретенников А.Ю., В. И. Богачев, А. Ю. Веретенников, С. В. Шапошников, Дифференцируемость инвариантных мер диффузий по параметру, Доклады Академии Наук, Математика, 460(5), 2015, 507-511;
V. I. Bogachev, A. Yu. Veretennikov, S. V. Shaposhnikov,
Differentiability of invariant measures of diffusions with respect to a parameter,
Doklady Mathematics, January 2015, Volume 91, Issue 1, pp 76-79. [Scopus Q3/ in 2016-2017 Q2][WoS] http://link.springer.com/article/10.1134/S106456241501024X
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Веретенников А.Ю., С. В.Анулова, А. Ю. Веретенников, Экспоненциальная сходимость многомерных стохастических механических систем с переключающими импульсными воздействиями, Доклады Академии Наук, Математика, 460(4), 2015, 377-380. [Scopus Q3][WoS]
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2014 |
Веретенников А.Ю., А. Ю. Веретенников, Е. В. Веретенникова,
Некоторые главы анализа и приложение к финансовой математике,
Учебное пособие, М., изд-во МПГУ, 2014. 3.675 п.л., ISBN: 978-5-4263-0170-2.
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Veretennikov A., A.Yu. Veretennikov and G.A. Zverkina, Simple Proof of Dynkin’s Formula for
Single-Server Systems and Polynomial Convergence Rates, Markov Processes Relat. Fields 20 (2014), 479–504. [Scopus Q3][WoS]
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Veretennikov A., R. Abu-Shanab, A. Yu. Veretennikov, On asymptotic Borovkov-Sakhanenko inequality with unbounded parameter set, Teor. Imovir. Ta Matem. Statyst., No 90, 2014, pp.1-12; Theor. Probability and Math. Statist. 90 (2015), 1-12. [Scopus Q3-Q4]
http://probability.univ.kiev.ua/tims/issues-new/90/PDF/3.pdf
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Веретенников А.Ю., A. Yu. Veretennikov, On the rate of convergence for infinite server Erlang–Sevastyanov’s problem, Queueing Systems,
2014, Volume 76, Issue 2, pp 181-203; DOI: 10.1007/s11134-013-9384-4 [Scopus Q2][WoS Q4] http://iitp.ru/https://arxiv.org/abs/1310.5973
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Veretennikov A., S. Anulova, A. Veretennikov, Exponential Convergence of degenerate Hybrid Stochastic Systems with full Dependence, in: Modern Stochastics and Applications, Springer, Optimization and Its Applications 90, Springer International Publishing Switzerland 2014, 159-174. DOI: 10.1007/978-3-319-03512-3_10; https://ieeexplore.ieee.org/document/6760048
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2013 |
Veretennikov A., S. V. Anulova, A. Yu. Veretennikov, and P. S. Shcherbakov, Exponential Convergence of Multi-Dimensional Stochastic Mechanical Systems with Switching. Proc. 52nd IEEE Conference on Decision and Control, December 10-13, Florence, Italy, 2013, 1217-1222 ( 1807.pdf). ISBN: 978-1-4673-5716-6.[WoS] DOI: 10.1109/CDC.2013.6760048; https://ieeexplore.ieee.org/document/6760048
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Веретенников А.Ю., О скорости сходимости к стационарному распределению в системах обслуживания с одним прибором, Автоматика и телемеханика, 2013, №10, стр. 23-35. Engl. tranls. On the rate of convergence to the stationary distribution in the single-server queuing system, Autom. Remote Control 74(10), 1620-1629 (2013). [Scopus Q2][WoS]
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Veretennikov A., Butkovsky O.A., On asymptotics for Vaserstein coupling of Markov chains,
Stochastic Processes and their Applications, 123(9), 2013,
3518-3541. [Scopus Q1][WoS] https://doi.org/10.1016/j.spa.2013.04.016
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Veretennikov A., On large deviations in the averaging principle for SDE’s with a ``full dependence’’, revisited // Discrete and Continuous Dynamical Systems ser. B, 2013. V. 18. No. 2. P. 523-549. (doi: 10.3934/dcdsb.2013.18.523) [Scopus Q2][WoS] http://probability.univ.kiev.ua/tims/issues-new/90/PDF/3.pdf
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2012 |
Веретенников А.Ю., Веретенникова Е.В., О сходимости частных производных многомерных полиномов Бернштейна. В сб.: Математика, информатика, физика в науке и образовании, сб. научн. трудов к 140-летию МПГУ, М., Прометей, стр. 39-42.
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Веретенников А.Ю., А. М. Кулик, А. Ю. Веретенников (2012), Диффузионная аппроксимация систем со слабо эргодичскими марковскими возмущениями I (in Russian!), Теорія ймовірностей і математична статистика, 87 (2012), 1-16; Engl. transl. A. M. Kulik, A. Yu. Veretennikov (2012), Diffusion approximation for systems with weakly ergodic Markov perturbations I. Theory Probab. Matem. Stat., 87 (2012), 1-16 (in Russian).
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Веретенников А.Ю., А. Ю. Веретенников, С. А. Клоков, “Об условиях локального перемешивания для аппроксимаций стохастических дифференциальных уравнений”, ТВП, 57:1 (2012), 35–61; Engl. transl. A. Yu. Veretennikov, S. A. Klokov, On local mixing conditions for SDE approximations, Theory Probab. Appl., 57:1 (2013), 110–131 [WoS]
http://mi.mathnet.ru/tvp4431
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2011 |
Веретенников А.Ю., А.Ю.Веретенников, А.М.Кулик, Расширенное уравнение Пуассона для слабо
эргодических процессов Маркова (in Russian), Теорія ймовірностей і математична
статистика, 85, 2011, 22-38. Engl. transl.: A. Yu. Veretennikov and A. M. Kulik, Extended Poisson equation for weakly ergodic Markov processes, Theor. Probability and Math. Statist. 85 (2012), 23-39.
|
Veretennikov A., On Sobolev Solutions of Poisson Equations in R^d with a Parameter
(To 70th birthday of Professor N.V.Krylov),
Journal of Mathematical Sciences, 179(1), 48-79, 2011 (Eng);
О соболевских решениях уравнения Пуассона в R^d с параметром
(К 70-летию профессора Н.В.Крылова), Проблемы математического анализа, 61,
43-68, 2011. DOI https://doi.org/10.1007/s10958-011-0582-5
|
Veretennikov A., (With O.A.Butkovsky) On asymptotics of Vaserstein"s coupling for a Markov chain.
International Mathematical Conference "50 years of IPPI", July 25-29 2011 Moscow, Russia,
Proceedings, ISBN 978-5-901158-15-9 http://www.iitp.ru/ru/conferences/839.htm
|
Veretennikov A., (With S.V.Anulova) On ergodicity of highly degenerate hybrid stochastic control systems.
International Mathematical Conference "50 years of IPPI", July 25-29 2011 Moscow, Russia,
Proceedings, ISBN 978-5-901158-15-9 http://www.iitp.ru/ru/conferences/839.htm/
|
Veretennikov A., M.L.Kleptsyna, On filtering with unspecified initial data for nonuniformly ergodic signams, in: The Oxford Handbook of nonlinear filtering, D.Crisan and B.Rozovsky (Eds.), Oxford University Press, Oxford, 2011, 267-298.
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2010 |
Veretennikov A., (with S.V.Anulova) On ergodic properties of degenerate hybrid stochastic control systems, in: Decision and Control (CDC), 2010 49th IEEE Conference on
Issue Date: 15-17 Dec. 2010
On page(s): 2292 - 2297
Location: Atlanta, GA
ISSN: 0743-1546
Print ISBN: 978-1-4244-7745-6
INSPEC Accession Number: 11848709
Digital Object Identifier: 10.1109/CDC.2010.5717412 http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=5717412
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Веретенников А.Ю., О скорости перемешивания и сходимости к
стационарному распределению в системах типа Эрланга в непрерывном
времени, Проблемы передачи информации, 2010, №4, стр.122-129.
(On the rate of beta-mixing and convergence to a stationary distribution in continuous-time Erlang-type systems,
Problems of Information Transmission, Volume 46 Issue 4, December 2010, 382-389,
Plenum Press New York, NY, USA, doi 10.1134/S0032946010040083)
http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=ppi&paperid=2030&option_lang=rus
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Veretennikov A., Abourashchi N., On stochastic averaging and mixing,
Theory of Stochastic Processes, 16(32)(1) (2010), 111-130.
URL of preprint version below. http://iitp.ru//upload/userpage/94/ayvlvov09c.pdf
|
Aivaliotis G., Veretennikov A., On Bellman"s equations for mean and variance control of a Markov diffusion, Stochastics: An International J. of Probability and Stochastic Processes,
Electronic version: 82 (6 Nov 2009), pages unknown.
Printed version: Volume 82, Issue 1 February 2010 , pages 41 - 51
DOI: 10.1080/17442500902723567. http://www.tandfonline.com/doi/abs/10.1080/17442500902723567#preview
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541, Veretennikov A., On discrete time ergodic filters with wrong initial data, 2, Stochastics: An International J. of Probability and Stochastic Processes, Electronic online version: 82 (01 Sept 2009), pages unknown.
Printed version: Volume 82, Issue 1 February 2010 , pages 25 - 40; DOI: 10.1080/17442500902723559 http://www.tandfonline.com/doi/abs/10.1080/17442500902723559#preview
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2009 |
Veretennikov A., N. Abourashchi, A.Yu. Veretennikov, On Weak solutions and local Dobrushin"s mixing condition for 2D degenerate stochastic differential equations. In: Proc. Internat. Dobrushin conference, July 15-20 2009, Moscow, ISBN 978-5-901158-10-4, p. 5-11.
http://iitp.ru/www.iitp.ru/upload/content/347/Dobr_Conf_2009_Proceedings.pdf
|
Veretennikov A., (with N.Abourashchi) On exponential mixing bounds and
convergence rate for reciprocal Gamma diffusion processes,
Mathematical Communications, 14(2) (2009), 331-339.
http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=68541&lang=en
|
Веретенников А.Ю., О скорости перемешивания и сходимости к стационарному распределению в дискретной задаче Эрланга, Автоматика и телемеханика, 2009, №12, 59-70. Engl. transl.: A.Yu.Veretennikov, On mixing rate and convegence to stationary regime in discrete time Erlang problem, Automation and Remote Control, 2009, 70:12, 1992–2002. http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=at&paperid=574&option_lang=rus
|
Абурашчi Н., Веретенников А.Ю., Про експоненцiйнi границi перемiшування та швидiксть збiжностi для процесiв Ст’юдента, Теория Ймовiрностей та математична статистика, 2009, №81, 1-12 (Ukrainian); Eng. transl.: N.Abourashchi, A.Yu. Veretennikov, On exponential mixing and rate of convergence for Student processes, Theory Probab. Math. Statist. 81 (2010), 1-13.
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2008 |
541, Veretennikov A., On discrete time filtres with wrong initial data, Probability Theory and Related Fields (2008) 141:411–444. http://www.springerlink.com/content/f3529k62w5h3811r/
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Веретенников А.Ю., 541, Об эргодических фильтрах в непрерывном времени с ошибкой в начальных данных. Теория вероятностей и ее применения, т.53, вып.2 (2008), 240–276. Engl. transl.: Kleptsyna M., Veretennikov A. On Continuous Time Ergodic Filters with Wrong Initial Data, Theory Probab. Appl. 53(2), 2009, 269-300 http://www.mathnet.ru/php/journal.phtml?wshow=paper&jrnid=tvp&paperid=2408&year=2008&volume=53&issue
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2007 |
541, Veretennikov A., On ergodic filters with wrong initial data, C.R.Acad. Sci. Paris, Ser. I, 344(2007), 727-731.
|
Veretennikov A., On asymptotic information integral inequalities. (English)
Theory Stoch. Process. 13, No. 29, Part 1-2, 294-307 (2007).
|
2006 |
Veretennikov A., On ergodic measures for McKean--Vlasov stochastic equations, In:
Monte Carlo and Quasi-Monte Carlo Methods 2004 Niederreiter, H;
Talay, D. (Eds.), (2006), 471-486. http://www.springerlink.com/content/u04780308x116512/
|
Veretennikov A., On lower bounds for mixing coefficients of Markov diffusions, In:
From Stochastic Calculus to Mathematical Finance; The Shiryaev
Festschrift. Kabanov, Yu.; Liptser, R.; Stoyanov, J. (Eds.)
Springer, Berlin et al. (2006), 623--633.
http://iitp.ru/https://doi.org/10.1007/978-3-540-30788-4_31
|
Veretennikov A., Совместно с С.А.Клоковым. Mixing and convergence rates for a family of
Markov processes approximating SDEs, ROSE -
Random Oper. and Stoch. Equ., 14(2) (2006), 103-126.
http://www.xolopo.com/mathematics/mixing_convergence_rates_a_family_markov_processes_17253.html
|
2005 |
Veretennikov A., Совместно с E.Pardoux. On the Poisson equation and diffusion
approximation 3. Ann. Probab. 33(3) (2005), 1111-1133. DOI: 10.1214/009117905000000062
|
2004 |
Veretennikov A., Approximations for ergodic SDEs, Summer School 2004 Lecture notes, Helsinki University of Technology Institute of Mathematics Reports C-17 (http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.331.1296, http://math.aalto.fi/en/current/publications/reports_c/) http://math.aalto.fi/reports/c017.pdf
|
Veretennikov A., (with Zhizhina, E.A.) On stochastic algorithms for the global optimization problem on a compact. In R.G. Aykroyd, S. Barber, & K.V. Mardia (Eds.), Bioinformatics, Images, and Wavelets, pp. 77-81. Department of Statistics, University of Leeds. http://www1.maths.leeds.ac.uk/Statistics/workshop/lasr2004/Proceedings/veretennikov-revised.pdf
|
Веретенников А.Ю., Совместно с С.А.Клоковым. О субэкспоненциальной скорости перемешивания для марковских процессов, Теория вероятностей и ее применения, 49(1), 21-35. (http://mi.mathnet.ru/tvp234) (Engl. transl. On Subexponential Mixing Rate for Markov Processes, Theory Probab. Appl., 2005, 49(1) 110–122.)
|
Veretennikov A., With S.A.Klokov. Subexponential mixing rate for a class
of Markov diffusions, J. Math. Sci. 123(1) (September 2004),
3816-3823. (http://www.springerlink.com/content/u831516785838223/
but the article is not available)
|
Veretennikov A., With S.A.Klokov. Sub-exponential mixing rate for a
class of Markov processes, Math. Comm. 9 (2004), 9-26.
http://hrcak.srce.hr/index.php?show=clanak_download&id_clanak_jezik=1422
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2003 |
Veretennikov A., On large deviations for approximations of SDEs, Probab.
Theory Rel. Fields, 125(1) (2003), 135-152. https://doi.org/10.1007/s00440-002-0235-1
|
Veretennikov A., On approximate large deviations for 1D diffusion.
Dedicated to the memory of Professor Revaz Chitashvili. Georgian
Math. J. 10(2) (2003), 381--399.
|
Veretennikov A., Совместно с E.Pardoux. On Poisson equation and diffusion approximation 2,
Annals of Probability, 31(3) (2003), 1166--1192. DOI: 10.1214/aop/1055425774 http://www.jstor.org/pss/3481484
|
Веретенников А.Ю., Эссе на тему теоремы Бориса Владимировича Гнеденко.
Теор. Ймовирн. Мат. Стат. 69 (2003), 16--25.
(An essay on the theme of a theorem of Boris Vladimirovich
Gnedenko. Teor. Imovir. Mat. Stat. 69 (2003), 16--25)
|
2002 |
Veretennikov A., With A.B.Varakin. On parameter estimation for ``polynomial
ergodic"" Markov chains with polynomial growth loss functions,
Markov Processes and Related Fields, 8(1) (2002), 127-144. http://iitp.ru/https://ssrn.com/abstract=3153598
|
Веретенников А.Ю., О больших уклонениях для приближенных решений стохастических дифференциальных уравнений на торе. Теория вероятностей и ее применения, 47(4) (2002), 772--780.
(Engl/ transl.: On large deviations for approximate solutions of
stochastic differential equations on a torus, Theory Probab. Appl. 47(4) (2003), 733-741.)
|
Veretennikov A., With R.Liptser and V.Spokoiny. Freidlin--Wentzell type large
deviations for smooth processes, Markov Processes Rel. Fields, 8
(2002), 611-636.
|
Veretennikov A., Coupling method for Markov chains
under integral Doeblin type condition. Theory Stoch. Process.
8(24) (2002), no.3-4, 383-390.
|
2001 |
Веретенников А.Ю., О полиномиальных оценках перемешивания для стохастических дифференциальных уравнений с градиентным сносом, Теория вероятностей и ее применения, 45(1) (2000), 163--166. (Engl. transl. A. Yu. Veretennikov, On Polynomial Mixing for SDEs with a Gradient-Type Drift, Theory Probab. Appl. 45(1) (2001), 160--164.)
|
Veretennikov A., With E.Pardoux. On the Poisson equation and diffusion
approximation. I. Ann. Probab. 29(3) (2001), 1061--1085. DOI: 10.1214/aop/1015345596
|
2000 |
Веретенников А.Ю., Параметрическое и непараметрическое оценивание для цепей Маркова. Изд-во центра прикладных исследований при мех-мат ф-те МГУ.
|
Веретенников А.Ю., Совместно с E.Pardoux. О регулярности инвариантной плотности цепи Маркова по параметру. Докл. РАН, Матем. 370(2) (2000), 158--160.
|
Veretennikov A., On large deviations for SDEs with small diffusion and averaging.
Stochastic Process. Appl. 89(1) (2000), 69-79
|
Veretennikov A., With G.N.Milstein. On deterministic and stochastic sliding modes
via small diffusion approximation. Markov Process. Related Fields
6(3) (2000), 371-395
|
1999 |
Veretennikov A., On KPP equations with various wave front speeds, the
Larson result via large deviations, in: Probability Theory and
Mathematical Statistics: Proceedings of the 7th Vilnius Conference
(1998) Vilnius, Lithuania (12-18 August, 1998), TEV, Vilnius,
Lithuania, and VSP, Utrecht, the Netherlands & Tokyo, Japan,
1999, 707-714
|
Veretennikov A., On Castellana--Leadbetter"s Condition for Diffusion Density
Estimation, Statistical Inference for Stochastic Processes, 2(1), 1-9
http://www.springerlink.com/content/r5p16r007628k533/
|
Veretennikov A., On large deviations in the averaging principle for SDE"s
with a "full dependence", Ann. Probab. 1999, 27(1), 284-296
|
Веретенников А.Ю., О полиномиальном перемешивании и скорости сходимости для стохастических разностных и дифференциальных уравнений. Теория вероятностей и ее применения, 44(2), 317-321. (http://mi.mathnet.ru/tvp766) Transl.: On Polynomial Mixing and Convergence Rate for Stochastic Difference and Differential Equations,
Theory of Probability & Its Applications, 2000, Vol. 44, No. 2 : pp. 361-374 (doi: 10.1137/S0040585X97977550)
|
1998 |
Veretennikov A., On parameter estimation for ergodic Markov chains with unbounded loss functions. WIAS, Berlin, 1998, preprint 448. (Version of the paper in MPRF 2002.)
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.55.7889&rep=rep1&type=pdf
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Веретенников А.Ю., О больших уклонениях в принципе усреднения для стохастических дифференциальных уравнений с “полной зависимостью”, ТВП, 1998, 43:4, 765–767
|
Veretennikov A., (with Anulova, S.V., Krylov, N.V., Liptser, R.S., Shyriaev, A.N.) Probability III. Stochastic Calculus. Berlin: Springer.
|
Veretennikov A., (with P.Priouret) A remark on the stability of the l.m.s. tracking
algorithm, Stoch. Anal. Appl. 16(1) (1998), 118-128
|
Веретенников А.Ю., О больших уклонениях для стохастических дифференциальных уравнений с малой диффузией и усреднением. Теория вероятностей и ее применения, 43(2), 349-351; Письмо в редакцию, ТВП, 43:4 (1998), 819–819.
|
1997 |
Веретенников А.Ю., (Совм. с Е.В.Веретенниковой) Начала теории вероятностей- 2. Изд-во МИРЭА.
|
Veretennikov A., (with E.Pardoux) Averaging for backward stochastic differential
equations, with applications to semi-linear PDE"s, Stoch. Stoch.
Rep. 60 (1997), 255-270.
|
Veretennikov A., On polynomial mixing bounds for stochastic differential equations,
Stoch. Processes Appl. 70 (1997), 115-127. https://doi.org/10.1016/S0304-4149(97)00056-2
http://iitp.ru/https://www.sciencedirect.com/science/article/pii/S0304414997000562/pdf?md5=225913c86af689c35df91a3b
|
Veretennikov A., (with M.Kelbert) On the estimation of mixing coefficients
for a multiphase service systems, Queueing Systems and Applications
(QUESTA), 25, 325-337
|
Веретенников А.Ю., (совм. с Э.Шоком (E.Schock)) Итерационные методы с возмущениями в некорректных задачах. Автоматика и телемеханика, 58(4), 75-84
|
1996 |
Veretennikov A., On polynomial mixing bounds for stochastic differential equations, IRISA, publication interne no 1026. (Extended version of the paper in SPA 1997) http://iitp.ru/https://www.irisa.fr/doccenter/publis/PI/1996/irisapublication.2006-02-16.8300043499
|
Veretennikov A., On large deviations for SDE systems without bounded
coefficient derivatives, Stoch. Anal. and Appl., Proc. 5th Gregynog
Symp., Gregynog, Powys, 9-14 July 1995, Publ.Co. World Sci. Press,
1996, 471-478
|
Veretennikov A., On large deviations for stationary processes under local
ratio-mixing conditions, Uspehi Teorii Veroyatnostej i ee
Primenenij, Proc. 4th Russian-Finnish Symp. on Probability Theory
and Mathematical Statistics (3-8 oct. 1993, Moscow), ed. by
A.N.Shiryaev et al., TVP, Moscow, 1996, 217-222
|
1995 |
Veretennikov A., On backward filtering equations for SDE systems (direct approach).
In: Stochastic Partial Differential Equations, ed. by
A.Etheridge. London Math. Soc. Lecture Notes Series, Cambridge
Univ. Press, vol. 216 (1995), 304-311
|
Веретенников А.Ю., О больших уклонениях для диффузионных процессов с измеримым коэффициентами. Успехи матем. наук,
50(5) (1995), 135--146. Engl. transl. On large deviations for diffusion processes with measurable coefficients,
A Yu Veretennikov, Russian Mathematical Surveys (1995), 50(5):977-987.
http://mi.mathnet.ru/umn1109
|
1994 |
Veretennikov A., On large deviations in averaging principle for systems of
stochastic differential equations with unbounded coefficients.
Probability Theory and Mathematical Statistics. Proc. Sixth Vilnius
Conf. (28 June - 3 July, 1993). Ed. B.Grigelionis et al. VSP,
Utrecht, The Netherlands and Tokyo, Japan
|
Veretennikov A., On large deviations for diffusion processes under minimal
smoothness conditions. C.R.Acad.Sci Paris, ser. Matem, vol. 319, Ser. A, N 7, Oct.
1994, 727-732
|
Veretennikov A., Large deviations in averaging principle for stochastic differential equation systems (noncompact case). Stochastics and Stochastics Reports, 1994, 48, 83-96.
|
Веретенников А.Ю., Начала теории вероятностей - 1. Изд-во МИРЭА.
|
Veretennikov A., On large deviations and averaging principle for stochastic -
difference equation on a torus. Proc. Steklov Inst. of Math.,
(1994), Issue 4, 27--33.
|
Veretennikov A., On large deviations in averaging principle for systems of
stochastic differential equations with unbounded coefficients.
Probability Theory and Mathematical Statistics. Proc. Sixth Vilnius
Conf. (28 June - 3 July, 1993). Ed. B.Grigelionis et al. VSP,
Utrecht, The Netherlands and Tokyo, Japan, 1994, 735-742
|
Veretennikov A., On weak Bernoulli, mixing rate and large deviations for
SDE"s and stochastic difference systems with averaging. Proc.
Internat. Workshop on Stochastic Partial Differential Equations
(Univ. of North Carolina, Chapel Hill, NC, June 19-21, 1994), part
2, 5 pages (non-refereed extended abstract).
|
1993 |
Веретенников А.Ю., On large deviations for Markov process additive
functionals. 1. Theory Probab. Appl. 38(3), 758-774 (in Russian)
|
Веретенников А.Ю., О больших уклонениях в принципе усреднения для стохастических разностных уравнений на торе,
Тр. МИАН, 1993, 202, 33–41
|
Veretennikov A., Совместно с О.В.Гулинским (O.V.Gulinsky), Large deviations for discrete - time processes
with averaging. VSP, Utrecht, The Netherlands.
|
1992 |
Veretennikov A., On large deviations for ergodic process empirical
measures. Advances in Soviet Math. Vol. 12, 125-133 (this Journal exists only in English).
|
Veretennikov A., On asymptotic properties of stationary processes: large
deviations and exponential mixing. Proc. VI Soviet - Japan Symp. on
Probab. Theory and Mathem. Stat. (Kiev, 1991). World Scientific,
Singapore et al. 1992, 403-413
|
Veretennikov A., On large deviations for stochastic iterative procedures in
Hilbert space. Numerical Methods and Optimization, Vol.3. Tallinn:
Estonian Academy of Sciences, 1992, 88-96
|
1991 |
Веретенников А.Ю., Veretennikov, A.Yu.
On large deviations for systems of Itô stochastic equations. (English. Russian original)
Theory Probab. Appl. 36, No.4, 772-782 (1991); translation from Teor. Veroyatn. Primen. 36, No.4, 625-634 (1991).
|
Веретенников А.Ю., Estimates for the mixing rate for Markov processes. (Russian)
Litovsk. Mat. Sb. 31(1) (1991), 40-49; Engl. transl. in Lithuanian
Math. J. 31(1) (1991), 27-34. doi: 10.1007/BF00972314
http://iitp.ru/https://link.springer.com/content/pdf/10.1007/BF00972314.pdf
|
Веретенников А.Ю., (with A.V.Dobrovidov and P.V.Pakshin) Ergodicity and
mixing conditions of Markov processes in nonparametric filtering
problems. Aut.Remote Control USSR, 52(4), 472-479
|
Веретенников А.Ю., О больших уклонениях в принципе усреднения для стохастических дифференциальных уравнений с периодическими коэффициентами. II. Изв. АН СССР. Сер. матем., 1991, 55:4, 691–715;
Engl. transl.: On large deviations in the averaging principle
for stochastic differential equations with periodic coefficients.
II. Math. USSR, Izv. 39(1) (1992), 677-701.
|
1990 |
Веретенников А.Ю., On hypoellipticity conditions and estimates of the mixing
rate for stochastic differential equations. Soviet Math. Dokl.
40(1), 94-97
|
Veretennikov A., (with O.V.Gulinskii) Rate of mixing and the averaging
principle for stochastic recursive procedures. Aut. Remote Control.
51(6), 779-788
|
Veretennikov A., On large deviations in averaging principle for stochastic
differential equations with periodic coefficients. 1. - Probab.
Theory and Math. Statistics. Proc. Fifth Vilnius Conf. (1989). Ed.
by B.Grigelionis et. al.Vilnius, Lithuania: Mokslas and Utrecht,
The Netherlands: VSP, Vol. 2, 542-551
|
Веретенников А.Ю., О принципе усреднения для систем стохастических дифференциальных уравнений,
Матем. сб., 1990, 181:2, 256–268. Engl. transl. ON THE AVERAGING PRINCIPLE FOR SYSTEMS OF STOCHASTIC DIFFERENTIAL EQUATIONS, A Yu Veretennikov, Mathematics of the USSR-Sbornik (1991), 69(1): 271- 284,
http://dx.doi.org/10.1070/SM1991v069n01ABEH001237. http://mi.mathnet.ru/msb1154
|
1989 |
Veretennikov A., Optimal stabilization of controllable random processes
with fast oscillating noise. Aut. Remote Control, 50(8), 1061-1065
|
Veretennikov A., Probability density of stochastic differential equations.
In: Statistics and Control of Stochastic Processes. Steklov seminar
1985-1986. Vol. 2. Ed. by A.N.Shiryaev et al. N.Y. Optimization
Software, Inc. Publ. Divizion. 233-237
|
Веретенников А.Ю., Совместно с С.А.Ануловой, Н.В.Крыловым и др. Стохастическое исчисление. ВИНИТИ, Москва, сер. Фундаментальные исследования, т.35.
|
1988 |
Veretennikov A., Rate of convergence of stochastic iteration procedures in
ill - posed problems. Aut. Remote Control. 49(1), 56-60
|
Веретенников А.Ю., О скорости перемешивания и принципе усреднения для гипоэллиптических стохастических дифференциальных уравнений, Изв. АН СССР. Сер. матем., 1988, 52:5, 899–908, 1118. Engl. transl. A. Yu. Veretennikov, ON RATE OF MIXING AND THE AVERAGING PRINCIPLE FOR HYPOELLIPTIC STOCHASTIC DIFFERENTIAL EQUATIONS, Mathematics of the USSR-Izvestiya, 1989, 33:2, 221–231 (http://iopscience.iop.org/0025-5726/33/2/A01). http://mi.mathnet.ru/izv1210
|
1987 |
Veretennikov A., Malliavin calculus and its applications to some limit
theorems. Proc. 1 - st World Congress Bernoully Soc., Tashkent,
1986. Vol. 1. Utrecht: VNU Sci. Press. 557-566
|
Veretennikov A., Lower bound for large deviations for an averaged SDE with a small diffusion, Russian Journal of Mathematical Physics, 1997, 5(1), 99-104.
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Веретенников А.Ю., Об оценках скорости перемешивания для стохастических уравнений,
ТВП, 1987, 32:2, 299–308. Eng. transl.: Bounds for the Mixing Rate in the Theory of Stochastic Equations, Theory Probab. Appl. 32, pp. 273-281.
http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=tvp&paperid=1414&option_lang=rus
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Веретенников А.Ю., О сильных решениях стохастических уравнений Ито со скачками,
ТВП, 1987, 32:1, 159–163
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1986 |
Veretennikov A., Regularization of ill-posed problems by stochastic
iteration procedures in the mean. Aut. Remote Control. 47(10),
1367-1372
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Веретенников А.Ю., Совместно с Г.М.Вайникко. Итеративные процедуры в некорректных задачах, Москва, Наука.
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1985 |
Veretennikov A., (with M.L.Kleptsina) On filtering and properties of conditional laws of Ito-Volterra processes,
Statistics and Control of Stochastic Processes, 1985. Steklov seminar, 1984. Ed. by N.V.Krylov
et al. Optimiz. Software, Publ. divizion, N.Y. 179-196
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1984 |
Veretennikov A., Iterative methods in ill-posed problems with random
errors. Aut. Remote Control. 45(12), 1564-1569
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Веретенников А.Ю., Вероятностные задачи в теории гипоэллиптичности,
Изв. АН СССР. Сер. матем., 1984, 48:6, 1151–1170
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Веретенников А.Ю., (совм. с М. Л. Клепцыной) О сильных решениях стохастических уравнений Ито–Вольтерра, ТВП, 1984, 29:1, 154–158
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1983 |
Veretennikov A., On the criteria for the existence of a strong solution of
a stochastic equation. Theory Probab. Appl. 27(3), 441-449
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Veretennikov A., (with I.V.Emelin and M.A.Krasnosel"skii) On regularization of ill-posed problems by stop-rules of iterative procedures with random errors. Numer. Funct. Anal. and Optimiz. 1983, 5(2), 199-215.
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Веретенников А.Ю., О стохастических уравнениях с вырождающейся по части переменных диффузией,
Изв. АН СССР. Сер. матем., 1983, 47:1, 189–196
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Веретенников А.Ю., О приближении обыкновенных дифференциальных уравнений стохастическими
Матем. заметки, 1983, 33:6, 929–932
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Веретенников А.Ю., “Обратная диффузия” и прямой вывод стохастических уравнений Лиувилля,
Матем. заметки, 1983, 33:5, 773–780
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Веретенников А.Ю., Вероятностный подход к гипоэллиптичности, УМН, 1983, 38:3(231), 113–125. Transl.: A probabilistic approach to hypoellipticity, Russian Mathematical Surveys, 1983, 38:3, 127–140. http://mi.mathnet.ru/umn2863
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1982 |
Веретенников А.Ю., Параболические уравнения и стохастические уравнения Ито с коэффициентами, разрывными по времени,
Матем. заметки, 1982, 31:4, 549–557. (A.Yu. Veretennikov, Parabolic equations and Itô"s stochastic equations with coefficients discontinuous in the time variable, Mat. Zametki, 31:4 (1982), 549-557) http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=mzm&paperid=6098&option_lang=rus
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1981 |
Веретенников А.Ю., Existence of optimal strategy in univariate diffusion
process control, Autom. Remote Control, 1981, 42, 722-727;
transl. from Avtom. Telemekh. 1981, No.6, 28-34.
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Веретенников А.Ю., О сильных и слабых решениях одномерных стохастических уравнений с граничными условиями, ТВП, 26:4 (1981), 685–701. Transl.: On strong and weak solutions of one - dimensional
stochastic equations with boundary conditions. Theory Probab. Appl. 26(4), 670-686. http://mi.mathnet.ru/tvp3500
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Веретенников А.Ю., Эргодичность и принцип инвариантности для многофазных систем обслуживания, Автоматика и Телемеханика, 1981, вып. 7, 70–73.
Transl.: Ergodicity and invariance principle for multiphase queuing
systems. Aut. Remote Control. 42(7), 1981, 906-909.
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1980 |
Veretennikov A., On the existence of the optimal policy for a
multidimensional quasidiffusion controlled process. Lecture
Notes in Control and Information Sci., Springer, vol. 25, 80-90
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Веретенников А.Ю., О сильных решениях и явных формулах для решений стохастических интегральных уравнений
Матем. сб., 1980, 111(153):3, 434–452. Engl. transl. A.Yu.Veretennikov, On strong solutions and explicit formulas for solutions of stochastic integral equations, Math. USSR-Sb. (1981), 39(3):387-403. http://dx.doi.org/10.1070/SM1981v039n03ABEH001522. (Notice that the author prefers the spelling A.Yu.) http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=sm&paperid=2601&option_lang=rus
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1979 |
Веретенников А.Ю., О сильных решениях стохастических дифференциальных уравнений, ТВП, 24:2 (1979), 348–360.
Engl. transl. On the Strong Solutions of Stochastic Differential Equations,
Theory Probab. Appl. Volume 24, Issue 2, pp. 354-366 (June 1979) http://mi.mathnet.ru/tvp2867
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1978 |
Veretennikov A., On the existence of the optimal strategy in a diffusion
process control problem. Internat. Symp. Stoch. Diff. Equations,
Vilnius, 1978. Abstr. comm., 174-177
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Веретенников А.Ю., О сильных решениях некоторых стохастических уравнений, УМН, 1978, 33:5(203), 173–174. Transl.: Strong solutions of some stochastic equations. Russian Mathematical Surveys, 1978, 33:5, 215–216.
http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=rm&paperid=3538&option_lang=rus
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1977 |
Веретенников А.Ю., Об эргодичности систем обслуживания с бесконечным числом обслуживающих приборов, Матем. заметки, 1977, том 22, выпуск 4, 561-570. Transl.: A. Yu. Veretennikov,
The ergodicity of service systems with an infinite number of servomechanisms,
Mathematical Notes, 22(4), 1977, 804-808, DOI: 10.1007/BF01146428 http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=mzm&paperid=8078&option_lang=rus
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1976 |
Веретенников А.Ю., (совм. с Н. В. Крыловым) О явных формулах для решений стохастических уравнений, Матем. сб., 100(142) (1976), 266—284. Transl.: Explicit formulae for the solutions of stochastic equations. (with Krylov, N. V.) Mat. Sb. (N.S.) (1976), Vol 100(142), Pages 266–284 http://mi.mathnet.ru/msb2874
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