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Prelov, Vyacheslav Valer'evich
Statistics Math-Net.Ru
Total publications: 53
Scientific articles: 47
Presentations: 4

Number of views:
This page:2664
Abstract pages:17710
Full texts:6209
References:1514
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https://www.mathnet.ru/eng/person17337
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https://mathscinet.ams.org/mathscinet/MRAuthorID/217745

Publications in Math-Net.Ru Citations
2022
1. V. V. Prelov, “Coupling of several random variables”, Probl. Peredachi Inf., 58:4 (2022),  6–12  mathnet  mathscinet
2. V. V. Prelov, “On one extremal problem for mutual information”, Probl. Peredachi Inf., 58:3 (2022),  18–32  mathnet  mathscinet
2021
3. V. V. Prelov, “On the maximum $f$-divergence of probability distributions given the value of their coupling”, Probl. Peredachi Inf., 57:4 (2021),  24–33  mathnet; Problems Inform. Transmission, 57:4 (2021), 321–330  isi 2
4. V. V. Prelov, “The $f$-divergence and coupling of probability distributions”, Probl. Peredachi Inf., 57:1 (2021),  64–80  mathnet; Problems Inform. Transmission, 57:1 (2021), 54–69  isi  scopus 1
2020
5. V. V. Prelov, “On the maximum values of $f$-divergence and Rényi divergence under a given variational distance”, Probl. Peredachi Inf., 56:1 (2020),  3–14  mathnet  elib; Problems Inform. Transmission, 56:1 (2020), 1–12  isi  scopus 5
2019
6. V. V. Prelov, “Optimal upper bounds for the divergence of finite-dimensional distributions under a given variational distance”, Probl. Peredachi Inf., 55:3 (2019),  21–29  mathnet  elib; Problems Inform. Transmission, 55:3 (2019), 218–225  isi  scopus 2
7. V. V. Prelov, “On extreme values of the Rényi entropy under coupling of probability distributions”, Probl. Peredachi Inf., 55:1 (2019),  51–58  mathnet  elib; Problems Inform. Transmission, 55:1 (2019), 46–52  isi  scopus 2
2018
8. V. V. Prelov, “On some optimization problems for the Rényi divergence”, Probl. Peredachi Inf., 54:3 (2018),  36–53  mathnet  elib; Problems Inform. Transmission, 54:3 (2018), 229–244  isi  scopus 2
2017
9. V. V. Prelov, “On coupling of probability distributions and estimating the divergence through variation”, Probl. Peredachi Inf., 53:3 (2017),  16–22  mathnet  elib; Problems Inform. Transmission, 53:3 (2017), 215–221  isi  scopus 3
2016
10. V. V. Prelov, “On some extremal problems for mutual information and entropy”, Probl. Peredachi Inf., 52:4 (2016),  3–13  mathnet  elib; Problems Inform. Transmission, 52:4 (2016), 319–328  isi  scopus 3
2015
11. V. V. Prelov, “Coupling of probability distributions and an extremal problem for the divergence”, Probl. Peredachi Inf., 51:2 (2015),  114–121  mathnet  elib; Problems Inform. Transmission, 51:2 (2015), 192–199  isi  scopus 6
2014
12. V. V. Prelov, “On one extreme value problem for entropy and error probability”, Probl. Peredachi Inf., 50:3 (2014),  3–18  mathnet; Problems Inform. Transmission, 50:3 (2014), 203–216  isi  scopus 3
2013
13. V. V. Prelov, “On computation of entropy of an ellipsoid in a Hamming space”, Probl. Peredachi Inf., 49:1 (2013),  3–18  mathnet; Problems Inform. Transmission, 49:1 (2013), 1–14  isi  scopus 1
2011
14. V. V. Prelov, “Generalization of a Pinsker problem”, Probl. Peredachi Inf., 47:2 (2011),  17–37  mathnet  mathscinet; Problems Inform. Transmission, 47:2 (2011), 98–116  isi  scopus 3
2010
15. V. V. Prelov, “On computation of information via variation and inequalities for the entropy function”, Probl. Peredachi Inf., 46:2 (2010),  24–29  mathnet  mathscinet; Problems Inform. Transmission, 46:2 (2010), 122–126  isi  scopus 4
2009
16. V. V. Prelov, “Mutual information of several random variables and its estimation via variation”, Probl. Peredachi Inf., 45:4 (2009),  3–17  mathnet  mathscinet  zmath; Problems Inform. Transmission, 45:4 (2009), 295–308  isi  scopus 5
2008
17. V. V. Prelov, E. C. van der Meulen, “Mutual Information, Variation, and Fano's Inequality”, Probl. Peredachi Inf., 44:3 (2008),  19–32  mathnet  mathscinet  zmath; Problems Inform. Transmission, 44:3 (2008), 185–197  isi  scopus 11
2007
18. V. V. Prelov, E. C. van der Meulen, “On Error-free Filtering of Finite-State Singular Processes under Dependent Distortions”, Probl. Peredachi Inf., 43:4 (2007),  3–12  mathnet  mathscinet  zmath  elib; Problems Inform. Transmission, 43:4 (2007), 271–279  isi  elib  scopus 1
19. V. V. Prelov, “On Inequalities between Information and Variation”, Probl. Peredachi Inf., 43:1 (2007),  15–27  mathnet  mathscinet; Problems Inform. Transmission, 43:1 (2007), 12–22  isi  scopus 8
2003
20. E. C. van der Meulen, V. V. Prelov, “High-Order Asymptotics of the Mutual Information in Nonlinear Non-Gaussian-Noise Channels”, Probl. Peredachi Inf., 39:4 (2003),  10–29  mathnet  mathscinet  zmath; Problems Inform. Transmission, 39:4 (2003), 324–340 2
2002
21. V. V. Prelov, E. van der Meulen, “On the Epsilon-entropy of One Class of Ellipsoids in a Hamming Space”, Probl. Peredachi Inf., 38:2 (2002),  19–32  mathnet  mathscinet  zmath; Problems Inform. Transmission, 38:2 (2002), 113–125 2
22. I. I. Dumer, M. S. Pinsker, V. V. Prelov, “An Optimization Problem Related to the Computation of the Epsilon-entropy of an Ellipsoid in a Hamming Space”, Probl. Peredachi Inf., 38:2 (2002),  3–18  mathnet  mathscinet  zmath; Problems Inform. Transmission, 38:2 (2002), 99–112 4
23. I. I. Dumer, M. S. Pinsker, V. V. Prelov, “Epsilon-entropy of an Ellipsoid in a Hamming Space”, Probl. Peredachi Inf., 38:1 (2002),  3–18  mathnet  mathscinet  zmath; Problems Inform. Transmission, 38:1 (2002), 1–15 4
2000
24. M. S. Pinsker, V. V. Prelov, “On Error-Free Filtering of Singular Processes under Nonstationary Distortions”, Probl. Peredachi Inf., 36:4 (2000),  89–97  mathnet  mathscinet  zmath; Problems Inform. Transmission, 36:4 (2000), 362–369 2
25. M. S. Pinsker, V. V. Prelov, E. C. van der Meulen, “Information Rate in Memoryless Channels for a Slowly Varying Markov Signal”, Probl. Peredachi Inf., 36:3 (2000),  29–38  mathnet  mathscinet  zmath; Problems Inform. Transmission, 36:3 (2000), 220–229 1
1999
26. M. S. Pinsker, V. V. Prelov, E. C. van der Meulen, “Stationary Channels with a Random Parameter Which Is a Completely Singular Process”, Probl. Peredachi Inf., 35:1 (1999),  3–12  mathnet  mathscinet  zmath; Problems Inform. Transmission, 35:1 (1999), 1–9 2
1998
27. M. S. Pinsker, V. V. Prelov, “Upper and Lower Bounds and Asymptotics of Optimal Filtering Error of a Stationary Process with a Small Information Rate”, Probl. Peredachi Inf., 34:4 (1998),  23–38  mathnet  mathscinet  zmath; Problems Inform. Transmission, 34:4 (1998), 309–321 3
28. M. S. Pinsker, V. V. Prelov, “Error-Free Filtering of an Entropy-Singular Signal under Independent Distortions”, Probl. Peredachi Inf., 34:3 (1998),  3–6  mathnet  zmath; Problems Inform. Transmission, 34:3 (1998), 207–209 3
29. M. S. Pinsker, V. V. Prelov, E. C. van der Meulen, “Information Rates in Certain Stationary Non-Gaussian Channels in Weak-Signal Transmission”, Probl. Peredachi Inf., 34:1 (1998),  3–17  mathnet  mathscinet  zmath; Problems Inform. Transmission, 34:1 (1998), 1–13 7
1997
30. M. S. Pinsker, V. V. Prelov, S. Verdú, “Sensitivity of the $\varepsilon$-Entropy of Stationary Continuous-Time Gaussian Processes”, Probl. Peredachi Inf., 33:2 (1997),  3–25  mathnet  mathscinet  zmath; Problems Inform. Transmission, 33:2 (1997), 95–113 4
31. M. Sh. Pinsker, V. V. Prelov, “On error-free filtering of some stationary processes”, Uspekhi Mat. Nauk, 52:2(314) (1997),  109–118  mathnet  mathscinet  zmath; Russian Math. Surveys, 52:2 (1997), 349–358  isi  scopus 14
1995
32. M. S. Pinsker, V. V. Prelov, “Optimal Filtering of a Gaussian Signal Against a Background of Almost Gaussian Noise”, Probl. Peredachi Inf., 31:4 (1995),  3–21  mathnet  mathscinet  zmath; Problems Inform. Transmission, 31:4 (1995), 295–311 3
33. V. V. Prelov, E. C. van der Meulen, “Asymptotics of Fisher Information Under Weak Perturbation”, Probl. Peredachi Inf., 31:1 (1995),  17–27  mathnet  mathscinet  zmath; Problems Inform. Transmission, 3:1 (1995), 14–22
1994
34. M. S. Pinsker, V. V. Prelov, “Information Rates in Stationary Gaussian Channels in Weak Signal Transmission”, Probl. Peredachi Inf., 30:4 (1994),  3–11  mathnet  mathscinet  zmath; Problems Inform. Transmission, 30:4 (1994), 291–298 4
1988
35. V. V. Prelov, “Capacity of Communication Channels with Almost Gaussian Noise”, Teor. Veroyatnost. i Primenen., 33:3 (1988),  433–452  mathnet  mathscinet  zmath; Theory Probab. Appl., 33:3 (1988), 405–422  isi 9
1986
36. V. V. Prelov, “Zero-Error Capacity of Memoryless Channels with Weak Input Signals”, Probl. Peredachi Inf., 22:2 (1986),  27–33  mathnet  mathscinet  zmath; Problems Inform. Transmission, 22:1 (1986), 98–104
1984
37. V. V. Prelov, “Transmission over a Multiple-Access Channel with a Special Source Hierarchy”, Probl. Peredachi Inf., 20:4 (1984),  3–10  mathnet  mathscinet  zmath; Problems Inform. Transmission, 20:4 (1984), 233–239
1982
38. L. A. Bassalygo, M. S. Pinsker, V. V. Prelov, “Zero-Error Capacity for Deterministic Multiple-Access Channels with Common Information”, Probl. Peredachi Inf., 18:1 (1982),  3–11  mathnet  zmath; Problems Inform. Transmission, 18:1 (1982), 1–8
1981
39. L. A. Bassalygo, V. V. Prelov, “Zero-Error Capacity of Continuous Memoryless Channels with a Small Input Signal”, Probl. Peredachi Inf., 17:1 (1981),  5–16  mathnet  mathscinet  zmath; Problems Inform. Transmission, 17:1 (1981), 1–9
1980
40. V. V. Prelov, “Asymptotic Behavior of the Capacity of a Continuous Channel with Large Smooth Noise”, Probl. Peredachi Inf., 16:2 (1980),  3–17  mathnet  mathscinet  zmath; Problems Inform. Transmission, 16:2 (1980), 81–92 1
1979
41. R. L. Dobrushin, V. V. Prelov, “Asymptotic Approach to the Investigation of Message Switching Networks of Linear Structure with a Large Number of Nodes”, Probl. Peredachi Inf., 15:1 (1979),  61–73  mathnet  mathscinet  zmath; Problems Inform. Transmission, 15:1 (1979), 46–55 1
1978
42. S. I. Gel'fand, V. V. Prelov, “Multiple-user communication”, Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern., 15 (1978),  123–162  mathnet  mathscinet  zmath; J. Soviet Math., 13:3 (1980), 386–408 1
1972
43. V. V. Prelov, “Asymptotic Behavior of the Capacity of a Continuous Channel with Large Nonadditive Noise”, Probl. Peredachi Inf., 8:4 (1972),  22–27  mathnet  mathscinet  zmath; Problems Inform. Transmission, 8:4 (1972), 285–289 1
1970
44. V. V. Prelov, “Asymptotic Behavior of the Capacity of a Continuous Channel with a Large Amount of Noise”, Probl. Peredachi Inf., 6:2 (1970),  40–57  mathnet  mathscinet  zmath; Problems Inform. Transmission, 6:2 (1970), 122–135 6
1969
45. V. V. Prelov, “The Asymptotic Channel Capacity for a Continuous Channel with Small Additive Noise”, Probl. Peredachi Inf., 5:2 (1969),  31–36  mathnet  zmath; Problems Inform. Transmission, 5:2 (1969), 23–27
1967
46. V. V. Prelov, “Asymptotic Transmission Capacity of Channels with a Countable Alphabet and Application to Asynchronous Channels”, Probl. Peredachi Inf., 3:2 (1967),  22–36  mathnet  mathscinet; Problems Inform. Transmission, 3:2 (1967), 18–29
1966
47. V. V. Prelov, “On the Asymptotic Behavior of the Transmission Capacity of Some Communication Channels”, Probl. Peredachi Inf., 2:1 (1966),  14–27  mathnet  mathscinet  zmath; Problems Inform. Transmission, 2:1 (1966), 10–21
2009
48. V. V. Prelov, E. van der Meulen, “Letters to the Editor”, Probl. Peredachi Inf., 45:2 (2009),  127  mathnet  mathscinet  zmath; Problems Inform. Transmission, 45:2 (2009), 191  isi  scopus
2004
49. A. M. Barg, L. A. Bassalygo, V. M. Blinovskii, M. V. Burnashev, N. D. Vvedenskaya, G. K. Golubev, I. I. Dumer, K. Sh. Zigangirov, V. V. Zyablov, V. A. Zinov'ev, G. A. Kabatiansky, V. D. Kolesnik, N. A. Kuznetsov, V. A. Malyshev, R. A. Minlos, D. Yu. Nogin, I. A. Ovseevich, V. V. Prelov, Yu. L. Sagalovich, V. M. Tikhomirov, R. Z. Khas'minskii, B. S. Tsybakov, “Mark Semenovich Pinsker. In Memoriam”, Probl. Peredachi Inf., 40:1 (2004),  3–5  mathnet  mathscinet; Problems Inform. Transmission, 40:1 (2004), 1–4 2
1997
50. V. V. Prelov, “Information theory in Dobrushin's scientific activity”, Uspekhi Mat. Nauk, 52:2(314) (1997),  9–13  mathnet  mathscinet  zmath; Russian Math. Surveys, 52:2 (1997), 245–249  isi  scopus
1996
51. L. A. Bassalygo, V. A. Malyshev, R. A. Minlos, I. A. Ovseevich, E. A. Pechersky, M. S. Pinsker, V. V. Prelov, A. N. Rybko, Yu. M. Sukhov, S. B. Shlosman, “In Memory of Roland L'vovich Dobrushin”, Probl. Peredachi Inf., 32:3 (1996),  3–24  mathnet  mathscinet  zmath; Problems Inform. Transmission, 32:3 (1996), 223–238 4
52. L. A. Bassalygo, S. I. Gel'fand, G. K. Golubev, R. L. Dobrushin, V. V. Prelov, Ya. G. Sinai, R. Z. Khas'minskii, A. M. Yaglom, “Review of Scientific Achievements of M. S. Pinsker”, Probl. Peredachi Inf., 32:1 (1996),  5–19  mathnet  mathscinet  zmath; Problems Inform. Transmission, 32:1 (1996), 3–14 1
53. B. M. Gurevich, I. A. Ibragimov, R. A. Minlos, I. A. Ovseevich, V. I. Oseledets, M. S. Pinsker, V. V. Prelov, Yu. V. Prokhorov, Ya. G. Sinai, A. S. Holevo, A. N. Shiryaev, “Roland L'vovich Dobrushin (20 July 1919 – 12 November 1995)”, Teor. Veroyatnost. i Primenen., 41:1 (1996),  164–169  mathnet  mathscinet; Theory Probab. Appl., 41:1 (1997), 132–136  isi

Presentations in Math-Net.Ru
1. О некоторых экстремальных задачах и неравенствах в теории информации
V. V. Prelov
Dobrushin Mathematics Laboratory Seminar
February 13, 2018 16:00
2. О пропускной способности некоторых каналов с многими пользователями при нулевой ошибке
V. V. Prelov
Seminar on Coding Theory
December 15, 2015 19:00
3. Склеивание вероятностных распределений и некоторые приложения
V. V. Prelov
Seminar on Coding Theory
February 24, 2015 19:00
4. О некоторых экстремальных задачах и неравенствах в теории информации
V. V. Prelov
Seminar on Coding Theory
February 11, 2014 19:00

Organisations
 
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