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Prelov Vyacheslav Valer'evich

Publications in Math-Net.Ru

  1. Coupling of several random variables

    Probl. Peredachi Inf., 58:4 (2022),  6–12
  2. On one extremal problem for mutual information

    Probl. Peredachi Inf., 58:3 (2022),  18–32
  3. On the maximum $f$-divergence of probability distributions given the value of their coupling

    Probl. Peredachi Inf., 57:4 (2021),  24–33
  4. The $f$-divergence and coupling of probability distributions

    Probl. Peredachi Inf., 57:1 (2021),  64–80
  5. On the maximum values of $f$-divergence and Rényi divergence under a given variational distance

    Probl. Peredachi Inf., 56:1 (2020),  3–14
  6. Optimal upper bounds for the divergence of finite-dimensional distributions under a given variational distance

    Probl. Peredachi Inf., 55:3 (2019),  21–29
  7. On extreme values of the Rényi entropy under coupling of probability distributions

    Probl. Peredachi Inf., 55:1 (2019),  51–58
  8. On some optimization problems for the Rényi divergence

    Probl. Peredachi Inf., 54:3 (2018),  36–53
  9. On coupling of probability distributions and estimating the divergence through variation

    Probl. Peredachi Inf., 53:3 (2017),  16–22
  10. On some extremal problems for mutual information and entropy

    Probl. Peredachi Inf., 52:4 (2016),  3–13
  11. Coupling of probability distributions and an extremal problem for the divergence

    Probl. Peredachi Inf., 51:2 (2015),  114–121
  12. On one extreme value problem for entropy and error probability

    Probl. Peredachi Inf., 50:3 (2014),  3–18
  13. On computation of entropy of an ellipsoid in a Hamming space

    Probl. Peredachi Inf., 49:1 (2013),  3–18
  14. Generalization of a Pinsker problem

    Probl. Peredachi Inf., 47:2 (2011),  17–37
  15. On computation of information via variation and inequalities for the entropy function

    Probl. Peredachi Inf., 46:2 (2010),  24–29
  16. Mutual information of several random variables and its estimation via variation

    Probl. Peredachi Inf., 45:4 (2009),  3–17
  17. Mutual Information, Variation, and Fano's Inequality

    Probl. Peredachi Inf., 44:3 (2008),  19–32
  18. On Error-free Filtering of Finite-State Singular Processes under Dependent Distortions

    Probl. Peredachi Inf., 43:4 (2007),  3–12
  19. On Inequalities between Information and Variation

    Probl. Peredachi Inf., 43:1 (2007),  15–27
  20. High-Order Asymptotics of the Mutual Information in Nonlinear Non-Gaussian-Noise Channels

    Probl. Peredachi Inf., 39:4 (2003),  10–29
  21. On the Epsilon-entropy of One Class of Ellipsoids in a Hamming Space

    Probl. Peredachi Inf., 38:2 (2002),  19–32
  22. 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
  23. Epsilon-entropy of an Ellipsoid in a Hamming Space

    Probl. Peredachi Inf., 38:1 (2002),  3–18
  24. On Error-Free Filtering of Singular Processes under Nonstationary Distortions

    Probl. Peredachi Inf., 36:4 (2000),  89–97
  25. Information Rate in Memoryless Channels for a Slowly Varying Markov Signal

    Probl. Peredachi Inf., 36:3 (2000),  29–38
  26. Stationary Channels with a Random Parameter Which Is a Completely Singular Process

    Probl. Peredachi Inf., 35:1 (1999),  3–12
  27. 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
  28. Error-Free Filtering of an Entropy-Singular Signal under Independent Distortions

    Probl. Peredachi Inf., 34:3 (1998),  3–6
  29. Information Rates in Certain Stationary Non-Gaussian Channels in Weak-Signal Transmission

    Probl. Peredachi Inf., 34:1 (1998),  3–17
  30. Sensitivity of the $\varepsilon$-Entropy of Stationary Continuous-Time Gaussian Processes

    Probl. Peredachi Inf., 33:2 (1997),  3–25
  31. On error-free filtering of some stationary processes

    Uspekhi Mat. Nauk, 52:2(314) (1997),  109–118
  32. Optimal Filtering of a Gaussian Signal Against a Background of Almost Gaussian Noise

    Probl. Peredachi Inf., 31:4 (1995),  3–21
  33. Asymptotics of Fisher Information Under Weak Perturbation

    Probl. Peredachi Inf., 31:1 (1995),  17–27
  34. Information Rates in Stationary Gaussian Channels in Weak Signal Transmission

    Probl. Peredachi Inf., 30:4 (1994),  3–11
  35. Capacity of Communication Channels with Almost Gaussian Noise

    Teor. Veroyatnost. i Primenen., 33:3 (1988),  433–452
  36. Zero-Error Capacity of Memoryless Channels with Weak Input Signals

    Probl. Peredachi Inf., 22:2 (1986),  27–33
  37. Transmission over a Multiple-Access Channel with a Special Source Hierarchy

    Probl. Peredachi Inf., 20:4 (1984),  3–10
  38. Zero-Error Capacity for Deterministic Multiple-Access Channels with Common Information

    Probl. Peredachi Inf., 18:1 (1982),  3–11
  39. Zero-Error Capacity of Continuous Memoryless Channels with a Small Input Signal

    Probl. Peredachi Inf., 17:1 (1981),  5–16
  40. Asymptotic Behavior of the Capacity of a Continuous Channel with Large Smooth Noise

    Probl. Peredachi Inf., 16:2 (1980),  3–17
  41. 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
  42. Multiple-user communication

    Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern., 15 (1978),  123–162
  43. Asymptotic Behavior of the Capacity of a Continuous Channel with Large Nonadditive Noise

    Probl. Peredachi Inf., 8:4 (1972),  22–27
  44. Asymptotic Behavior of the Capacity of a Continuous Channel with a Large Amount of Noise

    Probl. Peredachi Inf., 6:2 (1970),  40–57
  45. The Asymptotic Channel Capacity for a Continuous Channel with Small Additive Noise

    Probl. Peredachi Inf., 5:2 (1969),  31–36
  46. Asymptotic Transmission Capacity of Channels with a Countable Alphabet and Application to Asynchronous Channels

    Probl. Peredachi Inf., 3:2 (1967),  22–36
  47. On the Asymptotic Behavior of the Transmission Capacity of Some Communication Channels

    Probl. Peredachi Inf., 2:1 (1966),  14–27

  48. Letters to the Editor

    Probl. Peredachi Inf., 45:2 (2009),  127
  49. Mark Semenovich Pinsker. In Memoriam

    Probl. Peredachi Inf., 40:1 (2004),  3–5
  50. Information theory in Dobrushin's scientific activity

    Uspekhi Mat. Nauk, 52:2(314) (1997),  9–13
  51. In Memory of Roland L'vovich Dobrushin

    Probl. Peredachi Inf., 32:3 (1996),  3–24
  52. Review of Scientific Achievements of M. S. Pinsker

    Probl. Peredachi Inf., 32:1 (1996),  5–19
  53. Roland L'vovich Dobrushin (20 July 1919 – 12 November 1995)

    Teor. Veroyatnost. i Primenen., 41:1 (1996),  164–169


© Steklov Math. Inst. of RAS, 2024