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Dobrushin Roland L'vovich

Publications in Math-Net.Ru

  1. Large Deviations for Random Processes with Independent Increments on Infinite Intervals

    Probl. Peredachi Inf., 34:4 (1998),  76–108
  2. Gibbsian description of “non-Gibbsian” fields

    Uspekhi Mat. Nauk, 52:2(314) (1997),  45–58
  3. Queueing System with Selection of the Shortest of Two Queues: An Asymptotic Approach

    Probl. Peredachi Inf., 32:1 (1996),  20–34
  4. On fluctuations of Wulff's shape in a two-dimensional Ising model

    Uspekhi Mat. Nauk, 50:6(306) (1995),  177–178
  5. A. N. Kolmogorov – the founder of the theory of reversible Markov processes

    Uspekhi Mat. Nauk, 43:6(264) (1988),  167–188
  6. Possibility of high-temperature phase transitions due to the many-particle nature of the potential

    TMF, 75:2 (1988),  163–169
  7. Nonfinite perturbations of Gibbs fields

    TMF, 74:1 (1988),  16–28
  8. $\varepsilon$-Entropy of the Gibbs Field

    Probl. Peredachi Inf., 23:1 (1987),  3–15
  9. The unicity of a Gibbs field with random potential. An elementary approach

    Teor. Veroyatnost. i Primenen., 31:4 (1986),  651–670
  10. Dynamical systems of statistical mechanics and kinetic equations. Chapter 10. Dynamical systems of statistical mechanics

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 2 (1985),  235–284
  11. Linear Regularity Condition for Vector Random Fields

    Probl. Peredachi Inf., 21:4 (1985),  76–82
  12. Stationary local additive functionals on Gaussian random fields

    Teor. Veroyatnost. i Primenen., 28:3 (1983),  489–503
  13. Local additive functionals of Gaussian random fields

    Teor. Veroyatnost. i Primenen., 28:1 (1983),  32–44
  14. Vlasov equations

    Funktsional. Anal. i Prilozhen., 13:2 (1979),  48–58
  15. Asymptotic behavior for some degenerate models of the time evolution of systems with an infinite number of particles

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 14 (1979),  147–254
  16. 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
  17. Locally additive functionals of Gaussian generalized fields

    Uspekhi Mat. Nauk, 34:5(209) (1979),  223–224
  18. Polynomials of generalized random field and its moments

    Teor. Veroyatnost. i Primenen., 23:4 (1978),  715–730
  19. Upper Bound on the Redundancy of Self-correcting Arrangements of Unreliable Functional Elements

    Probl. Peredachi Inf., 13:3 (1977),  56–76
  20. Lower Bound for the Redundancy of Self-correcting Arrangements of Unreliable Functional Elements

    Probl. Peredachi Inf., 13:1 (1977),  82–89
  21. Polynomials in linear random functions

    Uspekhi Mat. Nauk, 32:2(194) (1977),  67–122
  22. Asymptotic Investigation of Star-Shaped Message Switching Networks with a Large Number of Radial Rays

    Probl. Peredachi Inf., 12:1 (1976),  70–94
  23. Factor measures on measurable spaces

    Tr. Mosk. Mat. Obs., 32 (1975),  77–92
  24. Coding Theorems for Classes of Arbitrarily Varying Discrete Memoryless Channels

    Probl. Peredachi Inf., 11:2 (1975),  3–22
  25. Gibbs states in lattice models with two-step interaction

    Funktsional. Anal. i Prilozhen., 8:3 (1974),  12–25
  26. Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential

    Mat. Sb. (N.S.), 94(136):1(5) (1974),  16–48
  27. Conditions for the absence of phase transitions in one-dimensional classical systems

    Mat. Sb. (N.S.), 93(135):1 (1974),  29–49
  28. Strong convexity of the pressure for lattice systems of classical statistical physics

    TMF, 20:2 (1974),  223–234
  29. Construction of a one-dimensional quantum field by means of a continuous markov field

    Funktsional. Anal. i Prilozhen., 7:4 (1973),  81–82
  30. Asymptotic behavior of Gibbsian distributions for lattice systems and its dependence on the form of the volume

    TMF, 12:1 (1972),  115–134
  31. Gibbs state describing coexistence of phases for a three-dimensional Ising model

    Teor. Veroyatnost. i Primenen., 17:4 (1972),  619–639
  32. Markov Processes with Many Locally Interacting Components – the Reversible Case and Some Generalizations

    Probl. Peredachi Inf., 7:3 (1971),  57–66
  33. Markov Processes with a Large Number of Locally Interacting Components: Existence of a Limit Process and Its Ergodicity

    Probl. Peredachi Inf., 7:2 (1971),  70–87
  34. Gibbsian random fields for particles without hard core

    TMF, 4:1 (1970),  101–118
  35. Definition of random variables by conditional distributions

    Teor. Veroyatnost. i Primenen., 15:3 (1970),  469–497
  36. Gibbsian random fields. The general case

    Funktsional. Anal. i Prilozhen., 3:1 (1969),  27–35
  37. Memory Increases Transmission Capacity

    Probl. Peredachi Inf., 5:1 (1969),  94–95
  38. The problem of uniqueness of a gibbsian random field and the problem of phase transitions

    Funktsional. Anal. i Prilozhen., 2:4 (1968),  44–57
  39. Gibbsian random fields for lattice systems with pairwise interactions

    Funktsional. Anal. i Prilozhen., 2:4 (1968),  31–43
  40. The Computation on a Computer of the Channel Capacity of a Line with Symbol Drop-Out

    Probl. Peredachi Inf., 4:3 (1968),  92–95
  41. The description of the random field by its conditional distributions and its regularity conditions

    Teor. Veroyatnost. i Primenen., 13:2 (1968),  201–229
  42. Shannon's Theorems for Channels with Synchronization Errors

    Probl. Peredachi Inf., 3:4 (1967),  18–36
  43. Existence and continuity of pressure in classic statistical physics

    Teor. Veroyatnost. i Primenen., 12:4 (1967),  595–618
  44. Existence of a phase transition in the two-dimensional and three-dimensional Ising models

    Dokl. Akad. Nauk SSSR, 160:5 (1965),  1046–1048
  45. The existence of a phase transition in the two- and three-dimensional Ising models

    Teor. Veroyatnost. i Primenen., 10:2 (1965),  209–230
  46. Investigation of the Conditions of the Asymptotic Existence of the Configuration Integral of the Gibbs Distribution

    Teor. Veroyatnost. i Primenen., 9:4 (1964),  626–643
  47. Unified methods of information transmission. The general case

    Dokl. Akad. Nauk SSSR, 149:1 (1963),  16–19
  48. Unified methods of transmission of information for discrete channels without memory and for communications with independent components

    Dokl. Akad. Nauk SSSR, 148:6 (1963),  1245–1248
  49. The Asymptotic Optimum Properties of Group and Systematic Codes for Some Channels

    Teor. Veroyatnost. i Primenen., 8:1 (1963),  52–66
  50. Asymptotic Estimates of the Probability of Error for Transmission of Messages over a Discrete Memoryless Communication Channel with a Symmetric Transition Probability Matrix

    Teor. Veroyatnost. i Primenen., 7:3 (1962),  283–311
  51. Optimal Binary Codes for Small Rates of Transmission of Information

    Teor. Veroyatnost. i Primenen., 7:2 (1962),  208–213
  52. Математические методы в лингвистике

    Mat. Pros., Ser. 2, 6 (1961),  37–60
  53. The asymptotic behavior of the probabilities of errors when information is transmmitted through a channel without memory with a symmetric matrix of transition probabilities

    Dokl. Akad. Nauk SSSR, 133:2 (1960),  265–268
  54. Properties of Sample Functions of a Stationary Gaussian Process

    Teor. Veroyatnost. i Primenen., 5:1 (1960),  132–134
  55. Limit Approach under the Signs of Information and Entropy

    Teor. Veroyatnost. i Primenen., 5:1 (1960),  29–37
  56. A general formulation of the fundamental theorem of Shannon in the theory of information

    Uspekhi Mat. Nauk, 14:6(90) (1959),  3–104
  57. A Simplified Method of Experimentally Evaluating the Entropy of a Stationary Sequence

    Teor. Veroyatnost. i Primenen., 3:4 (1958),  462–464
  58. Information Transmission in a Channel with Feedback

    Teor. Veroyatnost. i Primenen., 3:4 (1958),  395–412
  59. A Statistical Problem Arising in the Theory of Detection of Signals in the Presence of Noise in a Multi-Channel System and Leading to Stable Distribution Laws

    Teor. Veroyatnost. i Primenen., 3:2 (1958),  173–185
  60. The Continuity Condition for the Sample Functions of a Martingale

    Teor. Veroyatnost. i Primenen., 3:1 (1958),  97–98
  61. Some Classes of Homogeneous Denumerable Markov Processes

    Teor. Veroyatnost. i Primenen., 2:3 (1957),  377–380
  62. An Example of a Countable Homogeneous Markov Process All States of which are Transient

    Teor. Veroyatnost. i Primenen., 1:4 (1956),  481–485
  63. Central Limit Theorem for Nonstationary Markov Chains. II

    Teor. Veroyatnost. i Primenen., 1:4 (1956),  365–425
  64. Central Limit Theorem for Nonstationary Markov Chains. I

    Teor. Veroyatnost. i Primenen., 1:1 (1956),  72–89
  65. Two limit theorems for the simplest random walk on a line

    Uspekhi Mat. Nauk, 10:3(65) (1955),  139–146
  66. Lemma on the limit of compound random functions

    Uspekhi Mat. Nauk, 10:2(64) (1955),  157–159
  67. Conditions of regularity of Markov processes with a finite number of possible states

    Mat. Sb. (N.S.), 34(76):3 (1954),  541–556
  68. Limit theorems for a Markov chain of two states

    Izv. Akad. Nauk SSSR Ser. Mat., 17:4 (1953),  291–330
  69. Generalization of Kolmogorov's equations for Markov processes with a finite number of possible states

    Mat. Sb. (N.S.), 33(75):3 (1953),  567–596
  70. On conditions of regularity of stationary Markov processes with a denumerable number of possible states

    Uspekhi Mat. Nauk, 7:6(52) (1952),  185–191

  71. Review of Scientific Achievements of M. S. Pinsker

    Probl. Peredachi Inf., 32:1 (1996),  5–19
  72. Evgenii Borisovich Dynkin (on his seventieth birthday)

    Uspekhi Mat. Nauk, 49:4(298) (1994),  183–188
  73. Nikolai Nikolaevich Chentsov (obituary)

    Uspekhi Mat. Nauk, 48:2(290) (1993),  165–168
  74. Memorial: Nikolai Nikolaevitch Chentsov

    Teor. Veroyatnost. i Primenen., 38:3 (1993),  613–623
  75. Robert Adol'fovich Minlos (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 47:1(283) (1992),  225–226
  76. Feliks Aleksandrovich Berezin (obituary)

    Uspekhi Mat. Nauk, 36:4(220) (1981),  185–190
  77. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics

    Uspekhi Mat. Nauk, 35:5(215) (1980),  251–256
  78. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics

    Uspekhi Mat. Nauk, 33:2(200) (1978),  225–231
  79. Letter to the Editor

    Teor. Veroyatnost. i Primenen., 11:3 (1966),  548–549
  80. Errata and misprints

    Teor. Veroyatnost. i Primenen., 9:2 (1964),  400
  81. Errata to the article in v. I, № 1, № 4

    Teor. Veroyatnost. i Primenen., 3:4 (1958),  477

© Steklov Math. Inst. of RAS, 2024