On Polynomial Recurrence for Reliability System with a Warm Reserve, Markov Processes and Related Fields. 2019. Vol. 25. P. 745-761. [Scopus Q3/2018] Download (372.2 KB)
On mean-field (GI/GI/1) queueing model: existence and uniqueness, Queueing Syst (2019) [Springer online https://link.springer.com/article/10.1007/s11134-019-09626-x]. preprint https://arxiv.org/pdf/1804.07830 [Scopus Q3/2018, Q2/2017] http://doi.org/10.1007/s11134-019-09626-x Go to publication
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] preprint at Bielefeld Uni 18049; http://doi.org/10.17323/1609-4514-2019-19-1-89-106 Go to publicationDownload (443.8 KB)
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 Go to publication
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 Go to publication
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 Go to publication
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. Go to publication
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] Go to publication
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] Go to publication
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 Q3][WoS]
Go to publication
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] Go to publication
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) Go to publication
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 Go to publication
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] Go to publication
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] Go to publication
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]
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]
Go to publication
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
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]
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] Go to publication
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.
(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 Go to publicationDownload (241.6 KB)
(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 Go to publicationDownload (230.9 KB)
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.
(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 Go to publication
О скорости перемешивания и сходимости к
стационарному распределению в систеах типа Эрланга в непрерывном
времени, Проблемы передачи информации, 2010, №4, стр.122-129. Go to publication
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. Go to publication
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 Go to publication
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.
Go to publication
(with N.Abourashchi) On exponential mixing bounds and
convergence rate for reciprocal Gamma diffusion processes,
Mathematical Communications, 14(2) (2009), 331-339.
Go to publication
A. Yu. Veretennikov, M. L. Kleptsyna, “On Continuous Time Ergodic Filters with Wrong Initial Data”, Teor. Veroyatnost. i Primenen., 53:2 (2008), 240–276 Go to publication
