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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
Alexander Veretennikov, “On higher order moments and rates of convergence for SDEs with switching”, Mosc. Math. J., 24:1 (2024), 107–124 |
2. |
A. T. Akhmyarova, A. Yu. Veretennikov, “On strong law of large numbers for pairwise independent random variables”, Teor. Veroyatnost. i Primenen., 69:3 (2024), 427–438 ; Theory Probab. Appl., 69:3 (2024), 337–345 |
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2022 |
3. |
A. Yu. Veretennikov, M. A. Veretennikova, “On improved bounds and conditions for the convergence of Markov chains”, Izv. RAN. Ser. Mat., 86:1 (2022), 98–133 ; Izv. Math., 86:1 (2022), 92–125 |
4
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2021 |
4. |
A. Yu. Veretennikov, “On pathwise uniqueness of solutions for multidimensional McKean–Vlasov equation”, Teor. Veroyatnost. i Primenen., 66:3 (2021), 581–588 ; Theory Probab. Appl., 66:3 (2021), 469–473 |
1
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2020 |
5. |
A. Yu. Veretennikov, “On weak solutions of highly degenerate SDEs”, Avtomat. i Telemekh., 2020, no. 3, 28–43 ; Autom. Remote Control, 81:3 (2020), 398–410 |
4
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6. |
A. Yu. Veretennikov, M. A. Veretennikova, “On convergence rates for homogeneous Markov chains”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 16–19 ; Dokl. Math., 101:1 (2020), 12–15 |
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2019 |
7. |
O. A. Manita, A. Yu. Veretennikov, “On convergence of 1D Markov diffusions to heavy-tailed invariant density”, Mosc. Math. J., 19:1 (2019), 89–106 |
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2017 |
8. |
A. Yu. Veretennikov, “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)”, Theory Stoch. Process., 22(38):1 (2017), 89–103 |
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2015 |
9. |
A. Yu. Veretennikov, E. V. Veretennikova, “On partial derivatives of multivariate Bernstein polynomials”, Mat. Tr., 18:2 (2015), 22–38 ; Siberian Adv. Math., 26:4 (2016), 294–305 |
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2013 |
10. |
A. Yu. Veretennikov, “On the rate of convergence to the stationary distribution in the single-server queuing systems”, Avtomat. i Telemekh., 2013, no. 10, 23–35 ; Autom. Remote Control, 74:10 (2013), 1620–1629 |
10
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2012 |
11. |
A. Yu. Veretennikov, S. A. Klokov, “On local mixing conditions for SDE approximations”, Teor. Veroyatnost. i Primenen., 57:1 (2012), 35–61 ; Theory Probab. Appl., 57:1 (2013), 110–131 |
2
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2010 |
12. |
A. Yu. Veretennikov, “On the rate of beta-mixing and convergence to a stationary distribution in continuous-time Erlang-type systems”, Probl. Peredachi Inf., 46:4 (2010), 122–129 ; Problems Inform. Transmission, 46:4 (2010), 382–389 |
2
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13. |
N. Abourashchi, A. Yu. Veretennikov, “On stochastic averaging and mixing”, Theory Stoch. Process., 16(32):1 (2010), 111–129 |
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2009 |
14. |
A. Yu. Veretennikov, “On mixing rate and convegence to stationary regime in discrete time Erlang problem”, Avtomat. i Telemekh., 2009, no. 12, 59–70 ; Autom. Remote Control, 70:12 (2009), 1992–2002 |
4
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2008 |
15. |
A. Yu. Veretennikov, M. L. Kleptsyna, “On Continuous Time Ergodic Filters with Wrong Initial Data”, Teor. Veroyatnost. i Primenen., 53:2 (2008), 240–276 ; Theory Probab. Appl., 53:2 (2009), 269–300 |
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2007 |
16. |
Alexander Veretennikov, “On asymptotic information integral
inequalities”, Theory Stoch. Process., 13(29):2 (2007), 294–307 |
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2004 |
17. |
A. Yu. Veretennikov, S. A. Klokov, “On subexponential mixing rate for Markov processes”, Teor. Veroyatnost. i Primenen., 49:1 (2004), 21–35 ; Theory Probab. Appl., 49:1 (2005), 110–122 |
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2002 |
18. |
A. Yu. Veretennikov, “On sde and semigroup approximations and large deviations”, Teor. Veroyatnost. i Primenen., 47:4 (2002), 772–780 ; Theory Probab. Appl., 47:4 (2003), 733–741 |
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2000 |
19. |
A. Yu. Veretennikov, “On polynomial mixing for SDEs with a gradient-type drift”, Teor. Veroyatnost. i Primenen., 45:1 (2000), 163–166 ; Theory Probab. Appl., 45:1 (2001), 160–164 |
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1999 |
20. |
A. Yu. Veretennikov, “On polynomial mixing and convergence rate for stochastic difference and differential equations”, Teor. Veroyatnost. i Primenen., 44:2 (1999), 312–327 ; Theory Probab. Appl., 44:2 (2000), 361–374 |
73
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1998 |
21. |
A. Yu. Veretennikov, “On large deviations in the averaging principle for stochastic differential equations with “complete dependence””, Teor. Veroyatnost. i Primenen., 43:4 (1998), 765–767 ; Theory Probab. Appl., 43:4 (1999), 664–666 |
3
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22. |
A. Yu. Veretennikov, “On large deviations for stochastic differentialequations with a small diffusion and averaging”, Teor. Veroyatnost. i Primenen., 43:2 (1998), 349–351 ; Theory Probab. Appl., 43:2 (1999), 335–337 |
4
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1997 |
23. |
A. Yu. Veretennikov, E. Shock, “Iterative Methods with Perturbationss in Ill-posed Problems”, Avtomat. i Telemekh., 1997, no. 4, 75–84 ; Autom. Remote Control, 58:4 (1997), 579–587 |
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1995 |
24. |
A. Yu. Veretennikov, “On large deviations for diffusion processes with measurable coefficients”, Uspekhi Mat. Nauk, 50:5(305) (1995), 135–146 ; Russian Math. Surveys, 50:5 (1995), 977–987 |
1
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1993 |
25. |
A. Yu. Veretennikov, “On large deviations in the averaging principle for stochastic difference equations on a torus”, Trudy Mat. Inst. Steklov., 202 (1993), 33–41 ; Proc. Steklov Inst. Math., 202 (1994), 27–33 |
26. |
A. Yu. Veretennikov, “On large deviations for additive functionals of Markov processes. I”, Teor. Veroyatnost. i Primenen., 38:4 (1993), 758–774 ; Theory Probab. Appl., 38:4 (1993), 706–719 |
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1991 |
27. |
A. Yu. Veretennikov, A. V. Dobrovidov, P. V. Pakshin, “Ergodicity and mixing conditions for Markov processes in nonparametric filtering problems”, Avtomat. i Telemekh., 1991, no. 4, 36–45 ; Autom. Remote Control, 52:4 (1991), 472–479 |
28. |
A. Yu. Veretennikov, “On large deviations in the averaging principle for stochastic differential equations with periodic coefficients. II”, Izv. Akad. Nauk SSSR Ser. Mat., 55:4 (1991), 691–715 ; Math. USSR-Izv., 39:1 (1992), 677–701 |
10
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29. |
A. Yu. Veretennikov, “Large deviations for systems of Itô stochastic equations”, Teor. Veroyatnost. i Primenen., 36:4 (1991), 625–634 ; Theory Probab. Appl., 36:4 (1991), 772–782 |
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1990 |
30. |
A. Yu. Veretennikov, O. V. Gulinsky, “The mixing rate and the averaging principle for recursive stochastic procedures”, Avtomat. i Telemekh., 1990, no. 6, 68–78 ; Autom. Remote Control, 51:6 (1990), 779–788 |
1
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31. |
A. Yu. Veretennikov, “On the averaging principle for systems of stochastic differential equations”, Mat. Sb., 181:2 (1990), 256–268 ; Math. USSR-Sb., 69:1 (1991), 271–284 |
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32. |
A. Yu. Veretennikov, “On large deviations of the sojourn time for an ergodic process”, Teor. Veroyatnost. i Primenen., 35:2 (1990), 340–343 ; Theory Probab. Appl., 35:2 (1990), 390–393 |
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1989 |
33. |
A. Yu. Veretennikov, “On the optimal stabilization problem for random control processes with fast oscillating noise”, Avtomat. i Telemekh., 1989, no. 8, 75–80 ; Autom. Remote Control, 50:8 (1989), 1061–1065 |
1
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34. |
A. Yu. Veretennikov, “Conditions for hypo-ellipticity and estimates for the rate of
mixing for stochastic differential equations”, Dokl. Akad. Nauk SSSR, 307:3 (1989), 524–526 ; Dokl. Math., 40:1 (1990), 94–97 |
35. |
S. V. Anulova, A. Yu. Veretennikov, N. V. Krylov, R. Sh. Liptser, A. N. Shiryaev, “Stochastic calculus”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 45 (1989), 5–253 |
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1988 |
36. |
A. Yu. Veretennikov, “On the rate of convergence of stochastically iterative procedures in ill-posed problems”, Avtomat. i Telemekh., 1988, no. 1, 72–77 ; Autom. Remote Control, 49:1 (1988), 56–60 |
37. |
A. Yu. Veretennikov, “On rate of mixing and the averaging principle for hypoelliptic stochastic differential equations”, Izv. Akad. Nauk SSSR Ser. Mat., 52:5 (1988), 899–908 ; Math. USSR-Izv., 33:2 (1989), 221–231 |
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38. |
A. Yu. Veretennikov, “The mean-square convergence of stochastic iterative processes in ill-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 28:6 (1988), 809–814 ; U.S.S.R. Comput. Math. Math. Phys., 28:3 (1988), 125–129 |
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1987 |
39. |
A. Yu. Veretennikov, “Bounds for the Mixing Rate in the Theory of Stochastic Equations”, Teor. Veroyatnost. i Primenen., 32:2 (1987), 299–308 ; Theory Probab. Appl., 32:2 (1987), 273–281 |
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40. |
A. Yu. Veretennikov, “Strong Solutions of Îto Stochastic Equations with Jumps”, Teor. Veroyatnost. i Primenen., 32:1 (1987), 159–163 ; Theory Probab. Appl., 32:1 (1987), 148–152 |
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1986 |
41. |
A. Yu. Veretennikov, “Regularization of ill-posed problems by stochastic iterative procedures in the mean”, Avtomat. i Telemekh., 1986, no. 10, 64–69 ; Autom. Remote Control, 47:10 (1986), 1367–1372 |
42. |
A. Yu. Veretennikov, “On evaluation of the blending rate for autoregression processes”, Avtomat. i Telemekh., 1986, no. 3, 170–171 |
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1984 |
43. |
A. Yu. Veretennikov, “On iterative methods in ill-posed problems with random errors”, Avtomat. i Telemekh., 1984, no. 12, 34–39 ; Autom. Remote Control, 45:12 (1984), 1564–1569 |
44. |
A. Yu. Veretennikov, “Probabilistic problems in the theory of hypoellipticity”, Izv. Akad. Nauk SSSR Ser. Mat., 48:6 (1984), 1151–1170 ; Math. USSR-Izv., 25:3 (1985), 455–473 |
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45. |
M. L. Klepcina, A. Yu. Veretennikov, “On the strong solutions of Itô–Volterra stochastic equations”, Teor. Veroyatnost. i Primenen., 29:1 (1984), 154–158 ; Theory Probab. Appl., 29:1 (1985), 153–157 |
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1983 |
46. |
A. Yu. Veretennikov, M. A. Krasnosel'skii, “Regularizing stopping rules under conditions of random errors”, Dokl. Akad. Nauk SSSR, 268:3 (1983), 521–524 |
47. |
A. Yu. Veretennikov, “On stochastic equations with degenerate diffusion with respect to some of the variables”, Izv. Akad. Nauk SSSR Ser. Mat., 47:1 (1983), 189–196 ; Math. USSR-Izv., 22:1 (1984), 173–180 |
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48. |
A. Yu. Veretennikov, “Approximation of ordinary differential equations by stochastic differential equations”, Mat. Zametki, 33:6 (1983), 929–932 ; Math. Notes, 33:6 (1983), 476–477 |
3
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49. |
A. Yu. Veretennikov, “Inverse diffusion and direct derivation of stochastic liouville equations”, Mat. Zametki, 33:5 (1983), 773–780 ; Math. Notes, 33:5 (1983), 397–400 |
50. |
A. Yu. Veretennikov, “A probabilistic approach to hypoellipticity”, Uspekhi Mat. Nauk, 38:3(231) (1983), 113–125 ; Russian Math. Surveys, 38:3 (1983), 127–140 |
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1982 |
51. |
A. Yu. Veretennikov, “Parabolic equations and Itô's stochastic equations with coefficients discontinuous in the time variable”, Mat. Zametki, 31:4 (1982), 549–557 ; Math. Notes, 31:4 (1982), 278–283 |
12
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52. |
A. Yu. Veretennikov, “On criteria for the existence of the strong solution of the stochastic equation”, Teor. Veroyatnost. i Primenen., 27:3 (1982), 417–424 ; Theory Probab. Appl., 27:3 (1983), 441–449 |
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1981 |
53. |
A. Yu. Veretennikov, “Ergodicity and invariance principle for multi-phase service systems”, Avtomat. i Telemekh., 1981, no. 7, 70–73 ; Autom. Remote Control, 42:7 (1981), 906–909 |
1
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54. |
A. Yu. Veretennikov, “Existence of an optimal strategy in control of a single dimensional diffusional process”, Avtomat. i Telemekh., 1981, no. 6, 28–34 ; Autom. Remote Control, 42:6 (1981), 722–727 |
55. |
A. Ju. Veretennikov, “On the strong and weak solutions of one-dimensional stochastic equations with boundary conditions”, Teor. Veroyatnost. i Primenen., 26:4 (1981), 685–701 ; Theory Probab. Appl., 26:4 (1982), 670–686 |
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1980 |
56. |
A. Yu. Veretennikov, “On strong solutions and explicit formulas for solutions of stochastic integral equations”, Mat. Sb. (N.S.), 111(153):3 (1980), 434–452 ; Math. USSR-Sb., 39:3 (1981), 387–403 |
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1979 |
57. |
A. Yu. Veretennikov, “On the strong solutions of stochastic differential equations”, Teor. Veroyatnost. i Primenen., 24:2 (1979), 348–360 ; Theory Probab. Appl., 24:2 (1979), 354–366 |
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1978 |
58. |
A. Yu. Veretennikov, “On strong solutions of some stochastic equations”, Uspekhi Mat. Nauk, 33:5(203) (1978), 173–174 ; Russian Math. Surveys, 33:5 (1978), 215–216 |
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1977 |
59. |
A. Yu. Veretennikov, “The ergodicity of service systems with an infinite number of servomechanisms”, Mat. Zametki, 22:4 (1977), 561–569 ; Math. Notes, 22:4 (1977), 804–808 |
4
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1976 |
60. |
A. Yu. Veretennikov, N. V. Krylov, “On explicit formulas for solutions of stochastic equations”, Mat. Sb. (N.S.), 100(142):2(6) (1976), 266–284 ; Math. USSR-Sb., 29:2 (1976), 239–256 |
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1998 |
61. |
A. Yu. Veretennikov, “Letter to the editors”, Teor. Veroyatnost. i Primenen., 43:4 (1998), 819 ; Theory Probab. Appl., 43:4 (1999), 682 |
1
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1988 |
62. |
A. Yu. Veretennikov, “Book review: «Algorithmes adaptifs et approximations stochastiques. Théorie et applications à l'identification, au traitement du signal et à la reconnaissance des formes» A. Benveniste, M. Metivier, P. Priouret”, Teor. Veroyatnost. i Primenen., 33:3 (1988), 633–634 ; Theory Probab. Appl., 33:3 (1988), 586–590 |
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