A. Yu. Veretennikov, On weak existence of solutions of degenerate McKean-Vlasov equations, Stochastics and Dynamics, World Scientific, 2024, vol. 24(5), paper no. 2450032, https://doi.org/10.1142/S0219493724500321 [WoS Q3, Scopus Q2, IF = 0,8] (preprint at arXiv:2301.01532) Перейти к публикации
А. Т. Ахмярова, А. Ю. Веретенников, “Об усиленном законе больших чисел для попарно независимых случайных величин”, Теория вероятн. и ее примен., 69:3 (2024), 427–438 [WoS Q4, Scopus Q3, "Белый список РАН" Q2; IF WoS 0.500 (2023), IF mathnet.ru 0.581 (2023)] https://www.mathnet.ru/rus/tvp5662; https://doi.org/10.4213/tvp5662 Перейти к публикации
Alexander Yu. Veretennikov, On Averaged Control and Iteration Improvement for a Class of Multidimensional Ergodic Diffusions, in: Kolmogorov Operators and Their Applications, Stéphane Menozzi (ed.), Andrea Pascucci (ed.), Sergio Polidoro (ed.), ser. CONFERENCE PROCEEDINGS, Springer Singapore (Singapore), 315-349. https://doi.org/10.1007/978-981-97-0225-1_10
A.Yu.Veretennikov, On Higher Order Moments and Rates of Convergence for SDEs with Switching, Moscow Mathematical Journal, 24, № 1, 107-124 [Scopus Q1] http://www.mathjournals.org/mmj/2024-024-001/ (http://www.mathjournals.org/mmj/2024-024-001/2024-024-001-006.html)
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 [Scopus Q4, WoS? JCI 2022 = 0,15] Перейти к публикации
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] The paper is available at http://www.mdpi.com/2227-7390/11/21/4514 Перейти к публикации
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] Перейти к публикации
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] Перейти к публикации
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] Перейти к публикации
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] Перейти к публикации
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] Перейти к публикации
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)] Перейти к публикации
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 Перейти к публикации
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] Перейти к публикации
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] Перейти к публикацииЗагрузить (336.1 KB)
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] Перейти к публикацииЗагрузить (586.4 KB)
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
Перейти к публикацииЗагрузить (355.9 KB)
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 Перейти к публикации
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 Перейти к публикацииЗагрузить (142.3 KB)
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.
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 Перейти к публикации
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] Перейти к публикации
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)
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] Перейти к публикации
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) Перейти к публикации
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] Загрузить (372.2 KB)
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
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: ] Перейти к публикации
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 Перейти к публикации
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 Перейти к публикации
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. Перейти к публикации
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] Перейти к публикации
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 Перейти к публикации
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]
Перейти к публикации
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] Перейти к публикации
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 Перейти к публикации
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) Перейти к публикации
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 Перейти к публикации
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] Перейти к публикации
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 Перейти к публикации
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] Перейти к публикации
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] Перейти к публикации
