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## Prelov, Vyacheslav V.

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 Author ID: prelov.vyacheslav-v Published as: Prelov, V. V.; Prelov, Vyacheslav V. External Links: ORCID
 Documents Indexed: 61 Publications since 1966
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#### Co-Authors

 1 single-authored 20 Pinsker, Mark Semenovich 13 van der Meulen, Edward C. 5 Dumer, Ilya I. 4 Bassalygo, Leonid A. 3 Gel’fand, Sergeĭ Izrail’evich 3 Verdú, Sergio 2 Dobrushin, Roland Lvovich 1 Bassalygo, M. A. 1 De Bruyn, Kristien 1 Golubev, Yuriĭ K. 1 Khas’minskiĭ, Rafail Zalmanovich 1 Malyshev, Vadim Aleksandrovich 1 Ovseevich, I. A. 1 Pechersky, Eugene A. 1 Shlosman, Senya B. 1 Sinaĭ, Yakov Grigor’evich 1 Suhov, Yurii Mikhailovich 1 Yaglom, Akiva Moiseevich

#### Serials

 22 Problems of Information Transmission 5 IEEE Transactions on Information Theory 1 Russian Mathematical Surveys 1 Journal of Soviet Mathematics 1 Problemy Peredachi Informatsii
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#### Fields

 28 Information and communication theory, circuits (94-XX) 8 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 5 Systems theory; control (93-XX) 3 Number theory (11-XX) 3 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX)

#### Citations contained in zbMATH Open

15 Publications have been cited 29 times in 20 Documents Cited by Year
On inequalities between mutual information and variation. Zbl 1237.94029
Prelov, V. V.
2007
Mutual information, variation, and Fano’s inequality. Zbl 1173.94401
Prelov, V. V.; van der Meulen, E. C.
2008
On coverings of ellipsoids in Euclidean spaces. Zbl 1296.11089
Dumer, Ilya; Pinsker, Mark S.; Prelov, Vyacheslav V.
2004
On coupling of probability distributions and estimating the divergence through variation. Zbl 1387.94053
Prelov, V. V.
2017
Coupling of probability distributions and an extremal problem for the divergence. Zbl 1360.60039
Prelov, V. V.
2015
On one extreme value problem for entropy and error probability. Zbl 1321.94025
Prelov, V. V.
2014
Asymptotic approach to the investigation of message switching networks of linear structure with a large number of centers. Zbl 0435.94041
Dobrushin, R. L.; Prelov, V. V.
1979
On the maximum values of $$f$$-divergence and Rényi divergence under a given variational distance. Zbl 1443.60015
Prelov, V. V.
2020
On some optimization problems for the Rényi divergence. Zbl 1411.94033
Prelov, V. V.
2018
On error-free filtering of singular processes under nonstationary distortions. Zbl 0980.62086
Pinsker, M. S.; Prelov, V. V.
2000
Error-free filtering of an entropy-singular signal under independent distortions. Zbl 0930.93079
Pinsker, M. S.; Prelov, V. V.
1998
Information rates in certain stationary non-Gaussian channels in weak-signal transmission. Zbl 0918.94009
Pinsker, M. S.; Prelov, V. V.; van der Meulen, E. C.
1998
On error-free filtering of some stationary processes. Zbl 0937.60036
Pinsker, M. S.; Prelov, V. V.
1997
Sensitivity of channel capacity. Zbl 0848.94017
Pinsker, Mark S.; Prelov, Vyacheslav V.; Verdú, Sergio
1995
Communication channel capacity with almost Gaussian noise. Zbl 0715.94001
Prelov, V. V.
1988
On the maximum values of $$f$$-divergence and Rényi divergence under a given variational distance. Zbl 1443.60015
Prelov, V. V.
2020
On some optimization problems for the Rényi divergence. Zbl 1411.94033
Prelov, V. V.
2018
On coupling of probability distributions and estimating the divergence through variation. Zbl 1387.94053
Prelov, V. V.
2017
Coupling of probability distributions and an extremal problem for the divergence. Zbl 1360.60039
Prelov, V. V.
2015
On one extreme value problem for entropy and error probability. Zbl 1321.94025
Prelov, V. V.
2014
Mutual information, variation, and Fano’s inequality. Zbl 1173.94401
Prelov, V. V.; van der Meulen, E. C.
2008
On inequalities between mutual information and variation. Zbl 1237.94029
Prelov, V. V.
2007
On coverings of ellipsoids in Euclidean spaces. Zbl 1296.11089
Dumer, Ilya; Pinsker, Mark S.; Prelov, Vyacheslav V.
2004
On error-free filtering of singular processes under nonstationary distortions. Zbl 0980.62086
Pinsker, M. S.; Prelov, V. V.
2000
Error-free filtering of an entropy-singular signal under independent distortions. Zbl 0930.93079
Pinsker, M. S.; Prelov, V. V.
1998
Information rates in certain stationary non-Gaussian channels in weak-signal transmission. Zbl 0918.94009
Pinsker, M. S.; Prelov, V. V.; van der Meulen, E. C.
1998
On error-free filtering of some stationary processes. Zbl 0937.60036
Pinsker, M. S.; Prelov, V. V.
1997
Sensitivity of channel capacity. Zbl 0848.94017
Pinsker, Mark S.; Prelov, Vyacheslav V.; Verdú, Sergio
1995
Communication channel capacity with almost Gaussian noise. Zbl 0715.94001
Prelov, V. V.
1988
Asymptotic approach to the investigation of message switching networks of linear structure with a large number of centers. Zbl 0435.94041
Dobrushin, R. L.; Prelov, V. V.
1979
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#### Cited by 20 Authors

 6 Prelov, Vyacheslav V. 5 Prelov, Vl. V. 2 van der Meulen, Edward C. 1 Alajaji, Fady 1 Anguiano, María 1 Asoodeh, Shahab 1 Basharin, Gely Pavlovich 1 Dahleh, Munther A. 1 de Borst, René 1 Dumer, Ilya I. 1 Gyongyosi, Laszlo 1 Haraux, Alain 1 Kelbert, Mark Ya. 1 Lei, Jing 1 Linder, Tamás 1 Sarma, Sridevi V. 1 Sluys, Lambertus Johannes 1 Suhov, Yurii Mikhailovich 1 Tolmachev, A. L. 1 Wang, Weimin
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#### Cited in 8 Serials

 11 Problems of Information Transmission 2 Journal of Soviet Mathematics 1 International Journal for Numerical Methods in Engineering 1 Journal of Combinatorial Theory. Series A 1 Theoretical Computer Science 1 International Journal of Robust and Nonlinear Control 1 Bernoulli 1 Evolution Equations and Control Theory
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#### Cited in 13 Fields

 12 Information and communication theory, circuits (94-XX) 9 Probability theory and stochastic processes (60-XX) 8 Statistics (62-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)