Veretennikov, Alexander On higher order moments and rates of convergence for SDEs with switching. (English) Zbl 1535.60108 Mosc. Math. J. 24, No. 1, 107-124 (2024). MSC: 60H10 60J60 PDFBibTeX XMLCite \textit{A. Veretennikov}, Mosc. Math. J. 24, No. 1, 107--124 (2024; Zbl 1535.60108) Full Text: arXiv Link
Veretennikov, Alexander; Nurieva, Aisha On Dobrushin’s central limit theorem for non-homogeneous Markov chain array scheme. arXiv:2406.16156 Preprint, arXiv:2406.16156 [math.PR] (2024). MSC: 60F05 BibTeX Cite \textit{A. Veretennikov} and \textit{A. Nurieva}, ``On Dobrushin's central limit theorem for non-homogeneous Markov chain array scheme'', Preprint, arXiv:2406.16156 [math.PR] (2024) Full Text: arXiv OA License
Akhmiarova, Alina; Veretennikov, Alexander On the Law of Large Numbers for non-equally distributed weakly dependent random variables. arXiv:2405.17850 Preprint, arXiv:2405.17850 [math.PR] (2024). MSC: 60F05 BibTeX Cite \textit{A. Akhmiarova} and \textit{A. Veretennikov}, ``On the Law of Large Numbers for non-equally distributed weakly dependent random variables'', Preprint, arXiv:2405.17850 [math.PR] (2024) Full Text: arXiv OA License
Shchegolev, A. A.; Veretennikov, A. Yu. On convergence rate bounds for a class of nonlinear Markov chains. (English) Zbl 07850875 Markov Process. Relat. Fields 29, No. 5, 619-639 (2023). MSC: 60J10 60J05 60J99 PDFBibTeX XMLCite \textit{A. A. Shchegolev} and \textit{A. Yu. Veretennikov}, Markov Process. Relat. Fields 29, No. 5, 619--639 (2023; Zbl 07850875) Full Text: arXiv Link
Veretennikov, A. Yu. On averaged expected cost control for 1D ergodic diffusions with switching. (English) Zbl 1537.93794 Markov Process. Relat. Fields 29, No. 2, 259-294 (2023). MSC: 93E20 60H10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Markov Process. Relat. Fields 29, No. 2, 259--294 (2023; Zbl 1537.93794) Full Text: Link
Sineokiy, R. Yu.; Veretennikov, A. Yu. On recurrence, convergence and mixing rate of generalised Wright-Fisher diffusion with mutation. (English) Zbl 1537.60058 Markov Process. Relat. Fields 29, No. 2, 241-258 (2023). MSC: 60G53 60J60 PDFBibTeX XMLCite \textit{R. Yu. Sineokiy} and \textit{A. Yu. Veretennikov}, Markov Process. Relat. Fields 29, No. 2, 241--258 (2023; Zbl 1537.60058) Full Text: Link
Veretennikov, Alexander On weak existence of solutions of degenerate McKean–Vlasov equations. arXiv:2301.01532 Preprint, arXiv:2301.01532 [math.PR] (2023). MSC: 60J60 BibTeX Cite \textit{A. Veretennikov}, ``On weak existence of solutions of degenerate McKean--Vlasov equations'', Preprint, arXiv:2301.01532 [math.PR] (2023) Full Text: arXiv OA License
Veretennikov, Alexander Positive recurrence of a solution of an SDE with variable switching intensities. (English) Zbl 1499.60204 Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 3, 1165-1179 (2022). MSC: 60H10 60J60 PDFBibTeX XMLCite \textit{A. Veretennikov}, Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 3, 1165--1179 (2022; Zbl 1499.60204) Full Text: DOI arXiv
Veretennikov, Alexander An open problem about the rate of convergence in Erlang-Sevastyanov’s model. (English) Zbl 1491.90071 Queueing Syst. 100, No. 3-4, 357-359 (2022). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{A. Veretennikov}, Queueing Syst. 100, No. 3--4, 357--359 (2022; Zbl 1491.90071) Full Text: DOI
Veretennikov, Alexander Yu.; Veretennikova, Maria A. On improved bounds and conditions for the convergence of Markov chains. (English. Russian original) Zbl 1487.60130 Izv. Math. 86, No. 1, 92-125 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 1, 98-133 (2022). Reviewer: Andrew Wade (Durham) MSC: 60J05 60J10 37A25 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov} and \textit{M. A. Veretennikova}, Izv. Math. 86, No. 1, 92--125 (2022; Zbl 1487.60130); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 1, 98--133 (2022) Full Text: DOI
Sineokiy, Roman; Veretennikov, Alexander On recurrent properties and convergence rates of generalised Fisher – Wright’s diffusion with mutation. arXiv:2211.06098 Preprint, arXiv:2211.06098 [math.PR] (2022). MSC: 60G53 60J60 BibTeX Cite \textit{R. Sineokiy} and \textit{A. Veretennikov}, ``On recurrent properties and convergence rates of generalised Fisher -- Wright's diffusion with mutation'', Preprint, arXiv:2211.06098 [math.PR] (2022) Full Text: arXiv OA License
Akhmiarova, Alina; Veretennikov, Alexander On Strong Law of Large Numbers for pairwise independent random variables. arXiv:2211.04435 Preprint, arXiv:2211.04435 [math.PR] (2022). MSC: 60F15 BibTeX Cite \textit{A. Akhmiarova} and \textit{A. Veretennikov}, ``On Strong Law of Large Numbers for pairwise independent random variables'', Preprint, arXiv:2211.04435 [math.PR] (2022) Full Text: arXiv OA License
Nurieva, A. I.; Veretennikov, A. Yu. On consistency of Bayesian parameter estimations for a class of ergodic Markov models. arXiv:2204.13179 Preprint, arXiv:2204.13179 [math.PR] (2022). MSC: 60F15 62F12 62F15 62M05 BibTeX Cite \textit{A. I. Nurieva} and \textit{A. Yu. Veretennikov}, ``On consistency of Bayesian parameter estimations for a class of ergodic Markov models'', Preprint, arXiv:2204.13179 [math.PR] (2022) Full Text: DOI arXiv OA License
Mazutskiy, N. M.; Veretennikov, A. Yu. On mixed partial derivatives of modified Bernstein-Stancu polynomials for functions of several variables. arXiv:2204.12570 Preprint, arXiv:2204.12570 [math.CA] (2022). MSC: 60F05 41A10 BibTeX Cite \textit{N. M. Mazutskiy} and \textit{A. Yu. Veretennikov}, ``On mixed partial derivatives of modified Bernstein-Stancu polynomials for functions of several variables'', Preprint, arXiv:2204.12570 [math.CA] (2022) Full Text: arXiv OA License
Veretennikov, Alexander Note on local mixing techniques for stochastic differential equations. (English) Zbl 1479.60116 Mod. Stoch., Theory Appl. 8, No. 1, 1-15 (2021). MSC: 60H10 37A25 PDFBibTeX XMLCite \textit{A. Veretennikov}, Mod. Stoch., Theory Appl. 8, No. 1, 1--15 (2021; Zbl 1479.60116) Full Text: DOI arXiv
Sineokiy, Roman; Veretennikov, Alexander On recurrent properties of Fisher-Wright’s diffusion on \((0,1)\) with mutation. (English) Zbl 1483.60116 Random Oper. Stoch. Equ. 29, No. 3, 197-202 (2021). Reviewer: Miguel Martinez (Marne-la-Vallée) MSC: 60J60 37A25 92D10 PDFBibTeX XMLCite \textit{R. Sineokiy} and \textit{A. Veretennikov}, Random Oper. Stoch. Equ. 29, No. 3, 197--202 (2021; Zbl 1483.60116) Full Text: DOI arXiv
Veretennikov, A. Yu. On pathwise uniqueness of solutions for multidimensional McKean-Vlasov equation. (English. Russian original) Zbl 1479.60117 Theory Probab. Appl. 66, No. 3, 469-473 (2021); translation from Teor. Veroyatn. Primen. 66, No. 3, 581-588 (2021). MSC: 60H10 60J60 60H20 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Theory Probab. Appl. 66, No. 3, 469--473 (2021; Zbl 1479.60117); translation from Teor. Veroyatn. Primen. 66, No. 3, 581--588 (2021) Full Text: DOI arXiv
Veretennikov, Alexander; Veretennikova, Maria On Markov–up processes and their recurrence properties. arXiv:2112.14832 Preprint, arXiv:2112.14832 [math.PR] (2021). MSC: 60K15 BibTeX Cite \textit{A. Veretennikov} and \textit{M. Veretennikova}, ``On Markov--up processes and their recurrence properties'', Preprint, arXiv:2112.14832 [math.PR] (2021) Full Text: DOI arXiv OA License
Veretennikov, A. Yu.; Veretennikova, M. A. On convergence rates for homogeneous Markov chains. (English. Russian original) Zbl 1482.60096 Dokl. Math. 101, No. 1, 12-15 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 16-19 (2020). MSC: 60J05 60J10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov} and \textit{M. A. Veretennikova}, Dokl. Math. 101, No. 1, 12--15 (2020; Zbl 1482.60096); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 16--19 (2020) Full Text: DOI arXiv
Mishura, Yuliya; Veretennikov, Alexander Existence and uniqueness theorems for solutions of McKean-Vlasov stochastic equations. (English) Zbl 1482.60079 Theory Probab. Math. Stat. 103, 59-101 (2020). Reviewer: Alexandra Rodkina (College Station) MSC: 60H10 60E99 60F17 60H05 60J60 PDFBibTeX XMLCite \textit{Y. Mishura} and \textit{A. Veretennikov}, Theory Probab. Math. Stat. 103, 59--101 (2020; Zbl 1482.60079) Full Text: DOI arXiv
Mishura, Yu. (ed.); Kukush, A. (ed.); Sakhno, L. (ed.); Veretennikov, A. (ed.) Editorial. (English) Zbl 07351632 Theory Probab. Math. Stat. 102, 1-4 (2020). MSC: 00B15 PDFBibTeX XMLCite \textit{Yu. Mishura} (ed.) et al., Theory Probab. Math. Stat. 102, 1--4 (2020; Zbl 07351632) Full Text: DOI
Veretennikov, A. Yu. On weak solutions of highly degenerate SDEs. (English. Russian original) Zbl 1455.60077 Autom. Remote Control 81, No. 3, 398-410 (2020); translation from Avtom. Telemekh. 2020, No. 3, 28-43 (2020). MSC: 60H10 60H30 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Autom. Remote Control 81, No. 3, 398--410 (2020; Zbl 1455.60077); translation from Avtom. Telemekh. 2020, No. 3, 28--43 (2020) Full Text: DOI
Anulova, Svetlana V.; Mai, Hilmar; Veretennikov, Alexander Yu. On iteration improvement for averaged expected cost control for one-dimensional ergodic diffusions. (English) Zbl 1452.93037 SIAM J. Control Optim. 58, No. 4, 2312-2331 (2020). MSC: 93E03 93C15 60H10 PDFBibTeX XMLCite \textit{S. V. Anulova} et al., SIAM J. Control Optim. 58, No. 4, 2312--2331 (2020; Zbl 1452.93037) Full Text: DOI arXiv
Veretennikov, A. Yu. On mean-field (\(\mathrm{GI}/\mathrm{GI}/1\)) queueing model: existence and uniqueness. (English) Zbl 1434.90044 Queueing Syst. 94, No. 3-4, 243-255 (2020). MSC: 90B22 60K25 90-10 49N80 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Queueing Syst. 94, No. 3--4, 243--255 (2020; Zbl 1434.90044) Full Text: DOI arXiv Link
Korshunov, Dmitry (ed.); Veretennikov, Alexander (ed.) Special issue on ‘Analytical and computational methods in probability theory and its applications conference’. (English) Zbl 1490.00072 Queueing Syst. 94, No. 3-4, 211-212 (2020). MSC: 00B25 60-06 65-06 90-06 PDFBibTeX XMLCite \textit{D. Korshunov} (ed.) and \textit{A. Veretennikov} (ed.), Queueing Syst. 94, No. 3--4, 211--212 (2020; Zbl 1490.00072) Full Text: DOI
Veretennikov, A. Yu.; Veretennikova, M. A. On improved convergence conditions and bounds for Markov chains. arXiv:2006.12134 Preprint, arXiv:2006.12134 [math.PR] (2020). MSC: 60J05 60J10 BibTeX Cite \textit{A. Yu. Veretennikov} and \textit{M. A. Veretennikova}, ``On improved convergence conditions and bounds for Markov chains'', Preprint, arXiv:2006.12134 [math.PR] (2020) Full Text: DOI arXiv OA License
Veretennikov, A. Yu On polynomial recurrence for reliability system with a warm reserve. (English) Zbl 1431.60108 Markov Process. Relat. Fields 25, No. 4, 745-761 (2019). MSC: 60K15 60K20 90B25 PDFBibTeX XMLCite \textit{A. Y. Veretennikov}, Markov Process. Relat. Fields 25, No. 4, 745--761 (2019; Zbl 1431.60108) Full Text: arXiv
Manita, O. A.; Veretennikov, A. Yu. On convergence of 1D Markov diffusions to heavy-tailed invariant density. (English) Zbl 1415.60066 Mosc. Math. J. 19, No. 1, 89-106 (2019). MSC: 60H10 60J60 PDFBibTeX XMLCite \textit{O. A. Manita} and \textit{A. Yu. Veretennikov}, Mosc. Math. J. 19, No. 1, 89--106 (2019; Zbl 1415.60066) Full Text: arXiv Link
Aivaliotis, Georgios; Veretennikov, A. Yu. An HJB approach to a general continuous-time mean-variance stochastic control problem. (English) Zbl 1405.93228 Random Oper. Stoch. Equ. 26, No. 4, 225-234 (2018). MSC: 93E20 60H10 49L25 91G10 PDFBibTeX XMLCite \textit{G. Aivaliotis} and \textit{A. Yu. Veretennikov}, Random Oper. Stoch. Equ. 26, No. 4, 225--234 (2018; Zbl 1405.93228) Full Text: DOI arXiv
Veretennikov, A. Yu. On convergence rate for Erlang-Sevastyanov type models with infinitely many servers (In memory and to the 90th anniversary of A. D. Solovyev (06.09.1927–06.04.2001)). (English) Zbl 1399.60145 Theory Stoch. Process. 22, No. 1, 89-103 (2017). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Theory Stoch. Process. 22, No. 1, 89--103 (2017; Zbl 1399.60145) Full Text: Link
Veretennikov, Alexander On Poisson equations with a potential in the whole space for “ergodic” generators. (English) Zbl 1382.60104 Theory Probab. Math. Stat. 95, 195-206 (2017) and Teor. Jmovirn. Mat. Stat. 95, 178-188 (2016). MSC: 60J60 60J45 35J15 PDFBibTeX XMLCite \textit{A. Veretennikov}, Theory Probab. Math. Stat. 95, 195--206 (2017; Zbl 1382.60104) Full Text: DOI arXiv Link
Veretennikov, Alexander Ergodic Markov processes and Poisson equations (lecture notes). (English) Zbl 1382.60096 Panov, Vladimir (ed.), Modern problems of stochastic analysis and statistics. Selected contributions in honor of Valentin Konakov’s 70th birthday, Moscow, Russia, May 29 – June 2, 2016. Cham: Springer (ISBN 978-3-319-65312-9/hbk; 978-3-319-65313-6/ebook). Springer Proceedings in Mathematics & Statistics 208, 457-511 (2017). MSC: 60J10 60F17 PDFBibTeX XMLCite \textit{A. Veretennikov}, Springer Proc. Math. Stat. 208, 457--511 (2017; Zbl 1382.60096) Full Text: DOI arXiv Link
Uglov, Alexander; Veretennikov, Alexander Yet again on polynomial convergence for SDEs with a gradient-type drift. arXiv:1706.09374 Preprint, arXiv:1706.09374 [math.PR] (2017). MSC: 60H10 60J60 BibTeX Cite \textit{A. Uglov} and \textit{A. Veretennikov}, ``Yet again on polynomial convergence for SDEs with a gradient-type drift'', Preprint, arXiv:1706.09374 [math.PR] (2017) Full Text: arXiv OA License
Veretennikov, Alexander; Zverkina, Galina On polynomial bounds of convergence for the availability factor. (English) Zbl 1392.60074 Vishnevsky, Vladimir (ed.) et al., Distributed computer and communication networks. 18th international conference, DCCN 2015, Moscow, Russia, October 19–22, 2015. Revised selected papers. Cham: Springer (ISBN 978-3-319-30842-5/pbk; 978-3-319-30843-2/ebook). Communications in Computer and Information Science 601, 358-369 (2016). MSC: 60K25 60J10 PDFBibTeX XMLCite \textit{A. Veretennikov} and \textit{G. Zverkina}, Commun. Comput. Inf. Sci. 601, 358--369 (2016; Zbl 1392.60074) Full Text: DOI arXiv OA License
Kleptsyna, M. L.; Veretennikov, A. Yu. On robustness of discrete time optimal filters. (English) Zbl 1365.60041 Math. Methods Stat. 25, No. 3, 207-218 (2016). MSC: 60G35 60J10 62M20 62G35 PDFBibTeX XMLCite \textit{M. L. Kleptsyna} and \textit{A. Yu. Veretennikov}, Math. Methods Stat. 25, No. 3, 207--218 (2016; Zbl 1365.60041) Full Text: DOI arXiv
Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. (English) Zbl 1347.60077 Ann. Probab. 44, No. 3, 1985-2023 (2016). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60H15 60H10 60J25 35R60 31C25 PDFBibTeX XMLCite \textit{G. Da Prato} et al., Ann. Probab. 44, No. 3, 1985--2023 (2016; Zbl 1347.60077) Full Text: DOI arXiv Euclid
Bogachev, Vladimir I.; Shaposhnikov, Stanislav V.; Veretennikov, Alexander Yu. Differentiability of solutions of stationary Fokker-Planck-Kolmogorov equations with respect to a parameter. (English) Zbl 1346.60099 Discrete Contin. Dyn. Syst. 36, No. 7, 3519-3543 (2016). MSC: 60H30 35Q84 60J60 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Discrete Contin. Dyn. Syst. 36, No. 7, 3519--3543 (2016; Zbl 1346.60099) Full Text: DOI
Veretennikov, Alexander On SPDE and backward filtering equations for SDE systems (direct approach). arXiv:1607.00333 Preprint, arXiv:1607.00333 [math.PR] (2016). MSC: 60H10 60H15 35R60 BibTeX Cite \textit{A. Veretennikov}, ``On SPDE and backward filtering equations for SDE systems (direct approach)'', Preprint, arXiv:1607.00333 [math.PR] (2016) Full Text: arXiv OA License
Veretennikov, Alexander On recurrence and availability factor for single–server system with general arrivals. arXiv:1606.02973 Preprint, arXiv:1606.02973 [math.PR] (2016). MSC: 60K15 60K20 60K25 BibTeX Cite \textit{A. Veretennikov}, ``On recurrence and availability factor for single--server system with general arrivals'', Preprint, arXiv:1606.02973 [math.PR] (2016) Full Text: arXiv OA License
Veretennikov, A. Yu.; Veretennikova, E. V. On partial derivatives of multivariate Bernstein polynomials. (Russian, English) Zbl 1374.41024 Mat. Tr. 18, No. 2, 22-38 (2015); translation in Sib. Adv. Math. 26, No. 4, 294-305 (2016). MSC: 41A25 41A60 41A63 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov} and \textit{E. V. Veretennikova}, Mat. Tr. 18, No. 2, 22--38 (2015; Zbl 1374.41024); translation in Sib. Adv. Math. 26, No. 4, 294--305 (2016) Full Text: DOI
Abu-Shanab, R.; Veretennikov, A. Yu. On asymptotic Borovkov-Sakhanenko inequality with unbounded parameter set. (English) Zbl 1325.62052 Theory Probab. Math. Stat. 90, 1-12 (2015); translation from Teor. Jmovirn. Mat. Stat. 90, 1–12 (2014). MSC: 62F12 62F15 PDFBibTeX XMLCite \textit{R. Abu-Shanab} and \textit{A. Yu. Veretennikov}, Theory Probab. Math. Stat. 90, 1--12 (2015; Zbl 1325.62052); translation from Teor. Jmovirn. Mat. Stat. 90, 1--12 (2014) Full Text: DOI
Bogachev, V. I.; Veretennikov, A. Yu.; Shaposhnikov, S. V. Differentiability of invariant measures of diffusions with respect to a parameter. (English. Russian original) Zbl 1325.35226 Dokl. Math. 91, No. 1, 76-79 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 5, 507-511 (2015). MSC: 35Q84 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 91, No. 1, 76--79 (2015; Zbl 1325.35226); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 5, 507--511 (2015) Full Text: DOI
Anulova, S. V.; Veretennikov, A. Yu. Exponential convergence of multi-dimensional stochastic mechanical systems with switching impacts. (English. Russian original) Zbl 1330.60071 Dokl. Math. 91, No. 1, 60-63 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 4, 377-380 (2015). MSC: 60H10 70F99 PDFBibTeX XMLCite \textit{S. V. Anulova} and \textit{A. Yu. Veretennikov}, Dokl. Math. 91, No. 1, 60--63 (2015; Zbl 1330.60071); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 4, 377--380 (2015) Full Text: DOI
Veretennikov, Alexander; Veretennikova, Evguenia On convergence of partial derivatives of multivariate Bernstein polynomials. arXiv:1507.05235 Preprint, arXiv:1507.05235 [math.PR] (2015). MSC: 60F05 41A10 BibTeX Cite \textit{A. Veretennikov} and \textit{E. Veretennikova}, ``On convergence of partial derivatives of multivariate Bernstein polynomials'', Preprint, arXiv:1507.05235 [math.PR] (2015) Full Text: arXiv OA License
Anulova, Svetlana V.; Veretennikov, Alexander Yu. Exponential convergence of degenerate hybrid stochastic systems with full dependence. (English) Zbl 1319.93070 Korolyuk, Volodymyr (ed.) et al., Modern stochastics and applications. Selected papers based on the presentations at the international conference “Modern stochastics: theory and applications III”, dedicated to B. V. Gnedenko on the occasion of his 100th birthday and to M. I. Yadrenko on the occasion of his 80th birthday, Kyiv, Ukraine, September 10–14, 2012. Cham: Springer (ISBN 978-3-319-03511-6/hbk; 978-3-319-03512-3/ebook). Springer Optimization and Its Applications 90, 159-174 (2014). MSC: 93E03 70Q05 60H10 93E15 PDFBibTeX XMLCite \textit{S. V. Anulova} and \textit{A. Yu. Veretennikov}, Springer Optim. Appl. 90, 159--174 (2014; Zbl 1319.93070) Full Text: DOI
Veretennikov, A. Yu.; Zverkina, G. A. Simple proof of Dynkin’s formula for single-server systems and polynomial convergence rates. (English) Zbl 1309.60091 Markov Process. Relat. Fields 20, No. 3, 479-504 (2014). Reviewer: Vyacheslav Abramov (Melbourne) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov} and \textit{G. A. Zverkina}, Markov Process. Relat. Fields 20, No. 3, 479--504 (2014; Zbl 1309.60091) Full Text: arXiv
Veretennikov, A. Yu. On the rate of convergence for infinite server Erlang-Sevastyanov’s problem. (English) Zbl 1307.60138 Queueing Syst. 76, No. 2, 181-203 (2014). MSC: 60K25 60J27 68M20 90B22 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Queueing Syst. 76, No. 2, 181--203 (2014; Zbl 1307.60138) Full Text: DOI arXiv
Veretennikov, A. Yu.; Kulik, A. M. Diffusion approximation of systems with weakly ergodic Markov perturbations. II. (English. Ukrainian original) Zbl 1337.60198 Theory Probab. Math. Stat. 88, 1-17 (2014); translation from Teor. Jmovirn. Mat. Stat. 88, 1-16 (2013). MSC: 60J60 60F05 60H10 60J10 60G51 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov} and \textit{A. M. Kulik}, Theory Probab. Math. Stat. 88, 1--17 (2014; Zbl 1337.60198); translation from Teor. Jmovirn. Mat. Stat. 88, 1--16 (2013) Full Text: DOI
Veretennikov, Alexander On convergence rate for Erlang–Sevastyanov type models with infinitely many servers. arXiv:1412.3849 Preprint, arXiv:1412.3849 [math.PR] (2014). MSC: 60K25 60K15 BibTeX Cite \textit{A. Veretennikov}, ``On convergence rate for Erlang--Sevastyanov type models with infinitely many servers'', Preprint, arXiv:1412.3849 [math.PR] (2014) Full Text: arXiv OA License
Veretennikov, A. Yu.; Kulik, A. M. Diffusion approximation of systems with weakly ergodic Markov perturbations. I. (English. Ukrainian original) Zbl 1337.60197 Theory Probab. Math. Stat. 87, 13-29 (2013); translation from Teor. Jmovirn. Mat. Stat. 87, 12-27 (2012). MSC: 60J60 60F05 60H10 60J10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov} and \textit{A. M. Kulik}, Theory Probab. Math. Stat. 87, 13--29 (2013; Zbl 1337.60197); translation from Teor. Jmovirn. Mat. Stat. 87, 12--27 (2012) Full Text: DOI
Veretennikov, A. Yu. On the rate of convergence to the stationary distribution in the single-server queuing systems. (English. Russian original) Zbl 1297.90021 Autom. Remote Control 74, No. 10, 1620-1629 (2013); translation from Avtom. Telemekh. 2013, No. 10, 23-35 (2013). MSC: 90B22 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Autom. Remote Control 74, No. 10, 1620--1629 (2013; Zbl 1297.90021); translation from Avtom. Telemekh. 2013, No. 10, 23--35 (2013) Full Text: DOI
Butkovsky, O. A.; Veretennikov, A. Yu. On asymptotics for Vaserstein coupling of Markov chains. (English) Zbl 1294.60095 Stochastic Processes Appl. 123, No. 9, 3518-3541 (2013). MSC: 60J05 60J22 PDFBibTeX XMLCite \textit{O. A. Butkovsky} and \textit{A. Yu. Veretennikov}, Stochastic Processes Appl. 123, No. 9, 3518--3541 (2013; Zbl 1294.60095) Full Text: DOI
Veretennikov, A. Yu.; Klokov, S. A. On local mixing conditions for SDE approximations. (English. Russian original) Zbl 1276.60073 Theory Probab. Appl. 57, No. 1, 110-131 (2013); translation from Teor. Veroyatn. Primen. 57, No. 1, 35-61 (2012). Reviewer: Toader Morozan (Bucureşti) MSC: 60H35 60H10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov} and \textit{S. A. Klokov}, Theory Probab. Appl. 57, No. 1, 110--131 (2013; Zbl 1276.60073); translation from Teor. Veroyatn. Primen. 57, No. 1, 35--61 (2012) Full Text: DOI
Veretennikov, Alexander On large deviations in the averaging principle for SDE’s with a “full dependence”, revisited. (English) Zbl 1306.60019 Discrete Contin. Dyn. Syst., Ser. B 18, No. 2, 523-549 (2013). Reviewer: Nicolas Perkowski (Berlin) MSC: 60F10 60H10 PDFBibTeX XMLCite \textit{A. Veretennikov}, Discrete Contin. Dyn. Syst., Ser. B 18, No. 2, 523--549 (2013; Zbl 1306.60019) Full Text: DOI arXiv
Veretennikov, A. Yu.; Kulik, A. M. Extended Poisson equation for weakly ergodic Markov processes. (English) Zbl 1278.60098 Theory Probab. Math. Stat. 85, 23-39 (2012); translation from Teor. Jmovirn. Mat. Stat. 85 (2011). Reviewer: Martin Riedler (Wien) MSC: 60H10 60J25 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov} and \textit{A. M. Kulik}, Theory Probab. Math. Stat. 85, 23--39 (2012; Zbl 1278.60098); translation from Teor. Jmovirn. Mat. Stat. 85 (2011) Full Text: DOI
Veretennikov, A. Yu. On Sobolev solutions of Poisson equations in \(\mathbb R^d\) with a parameter. (English. Russian original) Zbl 1291.35042 J. Math. Sci., New York 179, No. 1, 48-79 (2011); translation from Probl. Math. Anal. 61, 43-68 (2011). MSC: 35J15 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, J. Math. Sci., New York 179, No. 1, 48--79 (2011; Zbl 1291.35042); translation from Probl. Math. Anal. 61, 43--68 (2011) Full Text: DOI
Kleptsyna, M. L.; Veretennikov, A. Yu. On filtering with unspecified initial data for nonuniformly ergodic signals. (English) Zbl 1237.93167 Crisan, Dan (ed.) et al., The Oxford handbook of nonlinear filtering. Oxford: Oxford University Press (ISBN 978-0-19-953290-2/hbk). 267-298 (2011). MSC: 93E10 93E11 PDFBibTeX XMLCite \textit{M. L. Kleptsyna} and \textit{A. Yu. Veretennikov}, in: The Oxford handbook of nonlinear filtering. Oxford: Oxford University Press. 267--298 (2011; Zbl 1237.93167)
Veretennikov, A. Yu. On the rate of beta-mixing and convergence to a stationary distribution in continuous-time Erlang-type systems. (English. Russian original) Zbl 1235.60098 Probl. Inf. Transm. 46, No. 4, 382-389 (2010); translation from Probl. Peredachi Inf. 46, No. 4, 122-129 (2010). MSC: 60J27 60J80 60K25 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Probl. Inf. Transm. 46, No. 4, 382--389 (2010; Zbl 1235.60098); translation from Probl. Peredachi Inf. 46, No. 4, 122--129 (2010) Full Text: DOI
Abourashchi, N.; Veretennikov, A. Yu. On stochastic averaging and mixing. (English) Zbl 1224.60181 Theory Stoch. Process. 16, No. 1, 111-129 (2010). MSC: 60J25 37A25 PDFBibTeX XMLCite \textit{N. Abourashchi} and \textit{A. Yu. Veretennikov}, Theory Stoch. Process. 16, No. 1, 111--129 (2010; Zbl 1224.60181)
Aivaliotis, G.; Veretennikov, A. Yu. On Bellman’s equations for mean and variance control of a Markov diffusion. (English) Zbl 1207.60041 Stochastics 82, No. 1-3, 41-51 (2010). Reviewer: Nikolaos Halidias (Athens) MSC: 60H10 93E20 PDFBibTeX XMLCite \textit{G. Aivaliotis} and \textit{A. Yu. Veretennikov}, Stochastics 82, No. 1--3, 41--51 (2010; Zbl 1207.60041) Full Text: DOI
Kleptsyna, M. L.; Veretennikov, A. Yu. On discrete time ergodic filters with wrong initial data, 2. (English) Zbl 1327.62479 Stochastics 82, No. 1-3, 25-40 (2010). MSC: 62M20 60G35 93E11 93E15 PDFBibTeX XMLCite \textit{M. L. Kleptsyna} and \textit{A. Yu. Veretennikov}, Stochastics 82, No. 1--3, 25--40 (2010; Zbl 1327.62479) Full Text: DOI
Abourashchi, N.; Veretennikov, A. Yu. On exponential bounds for mixing and the rate of convergence for Student processes. (Ukrainian, English) Zbl 1224.60127 Teor. Jmovirn. Mat. Stat. 81, 1-12 (2009); translation in Theory Probab. Math. Stat. 81, 1-13 (2010). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60H10 60J60 60F05 PDFBibTeX XMLCite \textit{N. Abourashchi} and \textit{A. Yu. Veretennikov}, Teor. Ĭmovirn. Mat. Stat. 81, 1--12 (2009; Zbl 1224.60127); translation in Theory Probab. Math. Stat. 81, 1--13 (2010) Full Text: DOI
Veretennikov, A. Yu.; Kleptsyna, M. L. On continuous time ergodic filters with wrong initial data. (English. Russian original) Zbl 1191.60053 Theory Probab. Appl. 53, No. 2, 269-300 (2009); translation from Teor. Veroyatn. Primen. 53, No. 2, 3-15 (2008). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60G35 62M05 60J60 62M20 93E11 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov} and \textit{M. L. Kleptsyna}, Theory Probab. Appl. 53, No. 2, 269--300 (2009; Zbl 1191.60053); translation from Teor. Veroyatn. Primen. 53, No. 2, 3--15 (2008) Full Text: DOI
Abourashchi, Nioulfar; Veretennikov, Alexander Yu. On exponential mixing bounds and convergence rate for reciprocal Gamma diffusion processes. (English) Zbl 1183.60028 Math. Commun. 14, No. 2, 331-339 (2009). MSC: 60J60 60H10 PDFBibTeX XMLCite \textit{N. Abourashchi} and \textit{A. Yu. Veretennikov}, Math. Commun. 14, No. 2, 331--339 (2009; Zbl 1183.60028)
Veretennikov, A. Yu. On mixing rate and convergence to stationary regime in discrete time Erlang problem. (On mixing rate and convegence to stationary regime in discrete time Erlang problem.) (English. Russian original) Zbl 1180.93097 Autom. Remote Control 70, No. 12, 1992-2002 (2009); translation from Avtom. Telemekh. 2009, No. 12, 59-70 (2009). MSC: 93E03 93C55 60J75 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Autom. Remote Control 70, No. 12, 1992--2002 (2009; Zbl 1180.93097); translation from Avtom. Telemekh. 2009, No. 12, 59--70 (2009) Full Text: DOI
Kleptsyna, M. L.; Veretennikov, A. Yu. On discrete time ergodic filters with wrong initial data. (English) Zbl 1141.60337 Probab. Theory Relat. Fields 141, No. 3-4, 411-444 (2008). MSC: 60G35 62M20 93E11 93E15 PDFBibTeX XMLCite \textit{M. L. Kleptsyna} and \textit{A. Yu. Veretennikov}, Probab. Theory Relat. Fields 141, No. 3--4, 411--444 (2008; Zbl 1141.60337) Full Text: DOI
Veretennikov, Alexander On asymptotic information integral inequalities. (English) Zbl 1153.62016 Theory Stoch. Process. 13, No. 29, Part 1-2, 294-307 (2007). Reviewer: A. D. Borisenko (Kyïv) MSC: 62F12 60E15 62B10 62F15 PDFBibTeX XMLCite \textit{A. Veretennikov}, Theory Stoch. Process. 13(29), No. 1--2, 294--307 (2007; Zbl 1153.62016)
Kleptsyna, Marina L.; Veretennikov, Alexander Yu. On ergodic filters with wrong initial data. (English) Zbl 1136.93042 C. R., Math., Acad. Sci. Paris 344, No. 11, 727-731 (2007). MSC: 93E11 93E03 60J05 60J25 PDFBibTeX XMLCite \textit{M. L. Kleptsyna} and \textit{A. Yu. Veretennikov}, C. R., Math., Acad. Sci. Paris 344, No. 11, 727--731 (2007; Zbl 1136.93042) Full Text: DOI Link
Klokov, S. A.; Veretennikov, A. Yu. On mixing and convergence rates for a family of Markov processes approximating SDEs. (English) Zbl 1120.60065 Random Oper. Stoch. Equ. 14, No. 2, 103-126 (2006). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60J05 60H10 PDFBibTeX XMLCite \textit{S. A. Klokov} and \textit{A. Yu. Veretennikov}, Random Oper. Stoch. Equ. 14, No. 2, 103--126 (2006; Zbl 1120.60065) Full Text: DOI
Veretennikov, A. Yu. On lower bounds for mixing coefficients of Markov diffusions. (English) Zbl 1103.60070 Kabanov, Yuri (ed.) et al., From stochastic calculus to mathematical finance. The Shiryaev Festschrift. Allmost all papers based on the presentation at the second Bachelier colloquium on stochastic calculus and probability, Meatbief, France, January 9–15, 2005. Berlin: Springer (ISBN 3-540-30782-6/hbk). 623-633 (2006). MSC: 60J60 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, in: From stochastic calculus to mathematical finance. The Shiryaev Festschrift. Almost all papers based on the presentation at the second Bachelier colloquium on stochastic calculus and probability, Meatbief, France, January 9--15, 2005. Berlin: Springer. 623--633 (2006; Zbl 1103.60070)
Veretennikov, A. Yu. On ergodic measures for McKean-Vlasov stochastic equations. (English) Zbl 1098.60056 Niederreiter, Harald (ed.) et al., Monte Carlo and quasi-Monte Carlo methods 2004. Refereed proceedings of the sixth international conference on Monte Carlo and quasi-Monte Carlo methods in scientific computation, Juan-les-Pins, France, June 7–10, 2004. Berlin: Springer (ISBN 3-540-25541-9/pbk). 471-486 (2006). MSC: 60H10 60F05 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, in: Monte Carlo and quasi-Monte Carlo methods 2004. Refereed proceedings of the sixth international conference on Monte Carlo and quasi-Monte Carlo methods in scientific computation, Juan-les-Pins, France, June 7--10, 2004. Berlin: Springer. 471--486 (2006; Zbl 1098.60056)
Pardoux, E.; Veretennikov, A. Yu. On the Poisson equation and diffusion approximation. III. (English) Zbl 1071.60022 Ann. Probab. 33, No. 3, 1111-1133 (2005). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60F17 60J60 35J70 PDFBibTeX XMLCite \textit{E. Pardoux} and \textit{A. Yu. Veretennikov}, Ann. Probab. 33, No. 3, 1111--1133 (2005; Zbl 1071.60022) Full Text: DOI arXiv
Veretennikov, A. Yu.; Klokov, S. A. Mixing rates for the Euler scheme for stochastic difference equations. (English) Zbl 1282.65022 Dokl. Math. 69, No. 2, 273-274 (2004) and Dokl. Akad. Nauk, Ross. Akad. Nauk 395, No. 6, 738-739 (2004). MSC: 65C30 60H30 37A25 60H10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov} and \textit{S. A. Klokov}, Dokl. Math. 69, No. 2, 273--274 (2004; Zbl 1282.65022)
Klokov, S. A.; Veretennikov, A. Yu. On subexponential mixing rate for Markov processes. (English. Russian original) Zbl 1090.60067 Theory Probab. Appl. 49, No. 1, 110-122 (2005); translation from Teor. Veroyatn. Primen. 49, No. 1, 21-35 (2004). MSC: 60J25 60J05 PDFBibTeX XMLCite \textit{S. A. Klokov} and \textit{A. Yu. Veretennikov}, Theory Probab. Appl. 49, No. 1, 110--122 (2004; Zbl 1090.60067); translation from Teor. Veroyatn. Primen. 49, No. 1, 21--35 (2004) Full Text: DOI
Klokov, S. A.; Veretennikov, A. Yu. On the sub-exponential mixing rate for a class of Markov diffusions. (English) Zbl 1076.60068 J. Math. Sci., New York 123, No. 1, 3816-3823 (2004). Reviewer: Alexander Mitrophanov (Atlanta) MSC: 60J60 PDFBibTeX XMLCite \textit{S. A. Klokov} and \textit{A. Yu. Veretennikov}, J. Math. Sci., New York 123, No. 1, 3816--3823 (2004; Zbl 1076.60068) Full Text: DOI
Klokov, S. A.; Veretennikov, A. Yu. Sub-exponential mixing rate for a class of Markov chains. (English) Zbl 1054.60073 Math. Commun. 9, No. 1, 9-26 (2004). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J10 60F25 PDFBibTeX XMLCite \textit{S. A. Klokov} and \textit{A. Yu. Veretennikov}, Math. Commun. 9, No. 1, 9--26 (2004; Zbl 1054.60073)
Veretennikov, A. Yu. An essay on the theme of a theorem of Boris Vladimirovich Gnedenko. (Russian, English) Zbl 1097.60057 Teor. Jmovirn. Mat. Stat. 69, 16-25 (2004); translation in Theory Probab. Math. Stat. 69, 17-25 (2004). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60J10 60F05 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Teor. Ĭmovirn. Mat. Stat. 69, 16--25 (2003; Zbl 1097.60057); translation in Theory Probab. Math. Stat. 69, 17--25 (2004) Full Text: Link
Veretennikov, A. Yu. On SDE and semigroup approximations and large deviations. (English. Russian original) Zbl 1055.60063 Theory Probab. Appl. 47, No. 4, 733-741 (2002); translation from Teor. Veroyatn. Primen. 47, No. 4, 772-780 (2003). Reviewer: Barbara Gentz (Berlin) MSC: 60H10 60F10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Theory Probab. Appl. 47, No. 4, 733--741 (2003; Zbl 1055.60063); translation from Teor. Veroyatn. Primen. 47, No. 4, 772--780 (2003) Full Text: DOI
Pardoux, È.; Veretennikov, A. Yu. On Poisson equation and diffusion approximation. II. (English) Zbl 1054.60064 Ann. Probab. 31, No. 3, 1166-1192 (2003). Reviewer: Markus Reiß (Berlin) MSC: 60H10 60J35 60J60 35J15 35B30 PDFBibTeX XMLCite \textit{È. Pardoux} and \textit{A. Yu. Veretennikov}, Ann. Probab. 31, No. 3, 1166--1192 (2003; Zbl 1054.60064) Full Text: DOI Euclid
Veretennikov, A. Yu. On approximate large deviations for 1D diffusion. (English) Zbl 1041.60028 Georgian Math. J. 10, No. 2, 381-399 (2003). Reviewer: Ilya Pavlyukevitch (Berlin) MSC: 60F10 60H10 60H35 65C30 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Georgian Math. J. 10, No. 2, 381--399 (2003; Zbl 1041.60028) Full Text: EuDML
Veretennikov, A. Yu. On large deviations for approximations of SDEs. (English) Zbl 1014.60061 Probab. Theory Relat. Fields 125, No. 1, 135-152 (2003). MSC: 60H10 60F10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Probab. Theory Relat. Fields 125, No. 1, 135--152 (2003; Zbl 1014.60061) Full Text: DOI
Veretennikov, A. Yu. Coupling method for Markov chains under integral Doeblin type condition. (English) Zbl 1026.60087 Theory Stoch. Process. 8(24), No. 3-4, 383-390 (2002). Reviewer: R.E.Maiboroda (Kyïv) MSC: 60J05 60F05 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Theory Stoch. Process. 8(24), No. 3--4, 383--390 (2002; Zbl 1026.60087)
Liptser, R.; Spokoiny, V.; Veretennikov, A. Yu. Freidlin-Wentzell type large deviations for smooth processes. (English) Zbl 1022.60076 Markov Process. Relat. Fields 8, No. 4, 611-636 (2002). MSC: 60J27 60F10 PDFBibTeX XMLCite \textit{R. Liptser} et al., Markov Process. Relat. Fields 8, No. 4, 611--636 (2002; Zbl 1022.60076)
Varakin, A. B.; Veretennikov, A. Yu. On parameter estimation for “polynomial ergodic” Markov chains with polynomial growth loss functions. (English) Zbl 1022.62074 Markov Process. Relat. Fields 8, No. 1, 127-144 (2002). MSC: 62M05 62F12 PDFBibTeX XMLCite \textit{A. B. Varakin} and \textit{A. Yu. Veretennikov}, Markov Process. Relat. Fields 8, No. 1, 127--144 (2002; Zbl 1022.62074)
Pardoux, E.; Veretennikov, A. Yu. On the Poisson equation and diffusion approximation. I. (English) Zbl 1029.60053 Ann. Probab. 29, No. 3, 1061-1085 (2001). Reviewer: Markus Reiß (Berlin MSC: 60H30 35J15 60J45 60J60 PDFBibTeX XMLCite \textit{E. Pardoux} and \textit{A. Yu. Veretennikov}, Ann. Probab. 29, No. 3, 1061--1085 (2001; Zbl 1029.60053) Full Text: DOI
Veretennikov, A. Yu. On large deviations for SDEs with small diffusion and averaging. (English) Zbl 1045.60065 Stochastic Processes Appl. 89, No. 1, 69-79 (2000). Reviewer: Jan Seidler (Praha) MSC: 60H10 60F10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Stochastic Processes Appl. 89, No. 1, 69--79 (2000; Zbl 1045.60065) Full Text: DOI
Veretennikov, A. Yu.; Pardoux, E. On the smoothness of an invariant measure of a Markov chain with respect to a parameter. (English. Russian original) Zbl 1053.60079 Dokl. Math. 61, No. 1, 31-33 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 2, 158-160 (2000). Reviewer: G. G. Vrănceanu (Bucureşti) MSC: 60J05 60J35 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov} and \textit{E. Pardoux}, Dokl. Math. 61, No. 1, 158--160 (2000; Zbl 1053.60079); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 2, 158--160 (2000)
Veretennikov, A. Yu. On polynomial mixing for SDEs with a gradient-type drift. (English. Russian original) Zbl 0981.60033 Theory Probab. Appl. 45, No. 1, 160-164 (2000); translation from Teor. Veroyatn. Primen. 45, No. 1, 163-166 (2000). Reviewer: Constantin Vârsan (Bucureşti) MSC: 60F99 60H10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Theory Probab. Appl. 45, No. 1, 160--164 (2000; Zbl 0981.60033); translation from Teor. Veroyatn. Primen. 45, No. 1, 163--166 (2000) Full Text: DOI
Milstein, G. N.; Veretennikov, A. Yu. On deterministic and stochastic sliding modes via small diffusion approximation. (English) Zbl 0963.34046 Markov Process. Relat. Fields 6, No. 3, 371-396 (2000). MSC: 34F05 34A36 34A60 60H10 PDFBibTeX XMLCite \textit{G. N. Milstein} and \textit{A. Yu. Veretennikov}, Markov Process. Relat. Fields 6, No. 3, 371--396 (2000; Zbl 0963.34046)
Veretennikov, A. Yu. On KPP equations with various wave front speeds, the Larson result via large deviations. (English) Zbl 0993.60069 Grigelionis, B. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the 7th international Vilnius conference, Vilnius, Lithuania, August, 12-18, 1998. Vilnius: TEV. 707-714 (1999). MSC: 60H30 60H15 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, in: Probability theory and mathematical statistics. Proceedings of the 7th international Vilnius conference, Vilnius, Lithuania, August, 12--18, 1998. Vilnius: TEV; Utrecht: VSP. 707--714 (1999; Zbl 0993.60069)
Veretennikov, A. Yu. On polynomial mixing and convergence rate for stochastic difference and differential equations. (English. Russian original) Zbl 0969.60070 Theory Probab. Appl. 44, No. 2, 361-374 (1999); translation from Teor. Veroyatn. Primen. 44, No. 2, 312-327 (1999). Reviewer: Gheorghe Oprişan (Bucureşti) MSC: 60J05 60H10 60B12 60F05 28D99 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Theory Probab. Appl. 44, No. 2, 361--374 (1999; Zbl 0969.60070); translation from Teor. Veroyatn. Primen. 44, No. 2, 312--327 (1999) Full Text: DOI
Veretennikov, A. Yu. On Castellana-Leadbetter’s condition for diffusion density estimation. (English) Zbl 0958.62078 Stat. Inference Stoch. Process. 2, No. 1, 1-9 (1999). MSC: 62M05 62G07 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Stat. Inference Stoch. Process. 2, No. 1, 1--9 (1999; Zbl 0958.62078) Full Text: DOI
Veretennikov, A. Yu. On large deviations in the averaging principle for SDEs with a “full dependence”. (English) Zbl 0939.60012 Ann. Probab. 27, No. 1, 284-296 (1999); correction Discrete Contin. Dyn. Syst., Ser. B 18, No. 2, 523-549 (2013). Reviewer: T.N.Pham (Hanoi) MSC: 60F10 60J60 58J65 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Ann. Probab. 27, No. 1, 284--296 (1999; Zbl 0939.60012) Full Text: DOI
Veretennikov, A. Yu. On large deviations in the averaging principle for stochastic differential equations with “complete dependence”. (English. Russian original) Zbl 0958.60030 Theory Probab. Appl. 43, No. 4, 664-666 (1998); translation from Teor. Veroyatn. Primen. 43, No. 4, 765-767 (1998). MSC: 60F10 60H10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Theory Probab. Appl. 43, No. 4, 664--666 (1998; Zbl 0958.60030); translation from Teor. Veroyatn. Primen. 43, No. 4, 765--767 (1998) Full Text: DOI
Veretennikov, A. Yu. On large deviations for stochastic differential equations with a small diffusion and averaging. (English. Russian original) Zbl 0953.60042 Theory Probab. Appl. 43, No. 2, 335-337 (1998); translation from Teor. Veroyatn. Primen. 43, No. 2, 349-351 (1998). Reviewer: Jan Seidler (Praha) MSC: 60H10 60F10 34C29 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Theory Probab. Appl. 43, No. 2, 335--337 (1998; Zbl 0953.60042); translation from Teor. Veroyatn. Primen. 43, No. 2, 349--351 (1998) Full Text: DOI
Priouret, P.; Veretennikov, A. Yu. A remark on the stability of the L. M. S. tracking algorithm. (English) Zbl 0907.93065 Stochastic Anal. Appl. 16, No. 1, 119-129 (1998). Reviewer: K.Uosaki (Tottori) MSC: 93E24 93E15 93E10 PDFBibTeX XMLCite \textit{P. Priouret} and \textit{A. Yu. Veretennikov}, Stochastic Anal. Appl. 16, No. 1, 119--129 (1998; Zbl 0907.93065) Full Text: DOI
Veretennikov, A. Yu.; Schock, E. Iteration methods with perturbations in ill-posed problems. (English. Russian original) Zbl 0920.65035 Autom. Remote Control 58, No. 4, Pt. 1, 579-587 (1997); translation from Avtom. Telemekh. 1997, No. 4, 75-84 (1997). MSC: 65J10 65J20 47A50 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov} and \textit{E. Schock}, Autom. Remote Control 58, No. 4, Part 1, 579--587 (1997; Zbl 0920.65035); translation from Avtom. Telemekh. 1997, No. 4, 75--84 (1997)
Veretennikov, A. Yu. On polynomial mixing bounds for stochastic differential equations. (English) Zbl 0911.60042 Stochastic Processes Appl. 70, No. 1, 115-127 (1997). Reviewer: B.Maslowski (Praha) MSC: 60H10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Stochastic Processes Appl. 70, No. 1, 115--127 (1997; Zbl 0911.60042) Full Text: DOI
Veretennikov, Alexandre Yu. Lower bound for large deviations for an averaged SDE with a small diffusion. (English) Zbl 0912.60048 Russ. J. Math. Phys. 5, No. 1, 99-104 (1997). Reviewer: Henri Schurz (Bogotá) MSC: 60F10 60H10 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Russ. J. Math. Phys. 5, No. 1, 99--104 (1997; Zbl 0912.60048)
Kelbert, Mark; Veretennikov, Alexandre On the estimation of mixing coefficients for a multiphase service system. (English) Zbl 0878.90043 Queueing Syst. 25, No. 1-4, 325-337 (1997). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{M. Kelbert} and \textit{A. Veretennikov}, Queueing Syst. 25, No. 1--4, 325--337 (1997; Zbl 0878.90043) Full Text: DOI