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Dobrushin, Roland L'vovich
(1929–1995)
Doctor of physico-mathematical sciences (1961)
Birth date: 20.06.1929

https://www.mathnet.ru/eng/person19899
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/189042

Publications in Math-Net.Ru Citations
1998
1. R. L. Dobrushin, E. A. Pechersky, “Large Deviations for Random Processes with Independent Increments on Infinite Intervals”, Probl. Peredachi Inf., 34:4 (1998),  76–108  mathnet  mathscinet  zmath; Problems Inform. Transmission, 34:4 (1998), 354–382 10
1997
2. R. L. Dobrushin, S. B. Shlosman, “Gibbsian description of “non-Gibbsian” fields”, Uspekhi Mat. Nauk, 52:2(314) (1997),  45–58  mathnet  mathscinet  zmath; Russian Math. Surveys, 52:2 (1997), 285–297  isi  scopus 17
1996
3. N. D. Vvedenskaya, R. L. Dobrushin, F. I. Karpelevich, “Queueing System with Selection of the Shortest of Two Queues: An Asymptotic Approach”, Probl. Peredachi Inf., 32:1 (1996),  20–34  mathnet  mathscinet  zmath; Problems Inform. Transmission, 32:1 (1996), 15–27 117
1995
4. O. O. Griniv, R. L. Dobrushin, “On fluctuations of Wulff's shape in a two-dimensional Ising model”, Uspekhi Mat. Nauk, 50:6(306) (1995),  177–178  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:6 (1995), 1262–1264  isi
1988
5. R. L. Dobrushin, Yu. M. Sukhov, J. Fritz, “A. N. Kolmogorov – the founder of the theory of reversible Markov processes”, Uspekhi Mat. Nauk, 43:6(264) (1988),  167–188  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:6 (1988), 157–182  isi 17
6. R. L. Dobrushin, M. R. Martirosyan, “Possibility of high-temperature phase transitions due to the many-particle nature of the potential”, TMF, 75:2 (1988),  163–169  mathnet  mathscinet; Theoret. and Math. Phys., 75:2 (1988), 443–448  isi 9
7. R. L. Dobrushin, M. R. Martirosyan, “Nonfinite perturbations of Gibbs fields”, TMF, 74:1 (1988),  16–28  mathnet  mathscinet; Theoret. and Math. Phys., 74:1 (1988), 10–20  isi 15
1987
8. L. A. Bassalygo, R. L. Dobrushin, “$\varepsilon$-Entropy of the Gibbs Field”, Probl. Peredachi Inf., 23:1 (1987),  3–15  mathnet  mathscinet  zmath; Problems Inform. Transmission, 23:1 (1987), 1–11 2
1986
9. L. A. Bassalygo, R. L. Dobrušin, “The unicity of a Gibbs field with random potential. An elementary approach”, Teor. Veroyatnost. i Primenen., 31:4 (1986),  651–670  mathnet  mathscinet  zmath; Theory Probab. Appl., 31:4 (1987), 572–589  isi 11
1985
10. R. L. Dobrushin, Ya. G. Sinai, Yu. M. Sukhov, “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  mathnet 7
11. M. G. Avetisyan, R. L. Dobrushin, “Linear Regularity Condition for Vector Random Fields”, Probl. Peredachi Inf., 21:4 (1985),  76–82  mathnet  mathscinet  zmath; Problems Inform. Transmission, 21:4 (1985), 308–313
1983
12. R. L. Dobrušin, M. Ya. Kelbert, “Stationary local additive functionals on Gaussian random fields”, Teor. Veroyatnost. i Primenen., 28:3 (1983),  489–503  mathnet  mathscinet  zmath; Theory Probab. Appl., 28:3 (1984), 515–529  isi 1
13. R. L. Dobrušin, M. Ya. Kel'bert, “Local additive functionals of Gaussian random fields”, Teor. Veroyatnost. i Primenen., 28:1 (1983),  32–44  mathnet  mathscinet  zmath; Theory Probab. Appl., 28:1 (1984), 35–42  isi 2
1979
14. R. L. Dobrushin, “Vlasov equations”, Funktsional. Anal. i Prilozhen., 13:2 (1979),  48–58  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:2 (1979), 115–123 246
15. R. L. Dobrushin, Yu. M. Sukhov, “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  mathnet  mathscinet  zmath; J. Soviet Math., 16:4 (1981), 1277–1340 17
16. 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
17. R. L. Dobrushin, M. Ya. Kelbert, “Locally additive functionals of Gaussian generalized fields”, Uspekhi Mat. Nauk, 34:5(209) (1979),  223–224  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:5 (1979), 237–238 3
1978
18. R. L. Dobrušin, R. A. Minlos, “Polynomials of generalized random field and its moments”, Teor. Veroyatnost. i Primenen., 23:4 (1978),  715–730  mathnet  mathscinet  zmath; Theory Probab. Appl., 23:4 (1979), 686–699  isi 7
1977
19. R. L. Dobrushin, S. I. Ortyukov, “Upper Bound on the Redundancy of Self-correcting Arrangements of Unreliable Functional Elements”, Probl. Peredachi Inf., 13:3 (1977),  56–76  mathnet  mathscinet  zmath; Problems Inform. Transmission, 13:3 (1977), 203–218 6
20. R. L. Dobrushin, S. I. Ortyukov, “Lower Bound for the Redundancy of Self-correcting Arrangements of Unreliable Functional Elements”, Probl. Peredachi Inf., 13:1 (1977),  82–89  mathnet  mathscinet  zmath; Problems Inform. Transmission, 13:1 (1977), 59–65 2
21. R. L. Dobrushin, R. A. Minlos, “Polynomials in linear random functions”, Uspekhi Mat. Nauk, 32:2(194) (1977),  67–122  mathnet  mathscinet  zmath; Russian Math. Surveys, 32:2 (1977), 71–127 24
1976
22. R. L. Dobrushin, Yu. M. Sukhov, “Asymptotic Investigation of Star-Shaped Message Switching Networks with a Large Number of Radial Rays”, Probl. Peredachi Inf., 12:1 (1976),  70–94  mathnet  mathscinet  zmath; Problems Inform. Transmission, 12:1 (1976), 49–66 5
1975
23. R. L. Dobrušin, R. A. Minlos, “Factor measures on measurable spaces”, Tr. Mosk. Mat. Obs., 32 (1975),  77–92  mathnet  mathscinet  zmath 2
24. R. L. Dobrushin, S. Z. Stambler, “Coding Theorems for Classes of Arbitrarily Varying Discrete Memoryless Channels”, Probl. Peredachi Inf., 11:2 (1975),  3–22  mathnet  mathscinet  zmath; Problems Inform. Transmission, 11:2 (1975), 97–112 2
1974
25. V. M. Gercik, R. L. Dobrushin, “Gibbs states in lattice models with two-step interaction”, Funktsional. Anal. i Prilozhen., 8:3 (1974),  12–25  mathnet  mathscinet  zmath; Funct. Anal. Appl., 8:3 (1974), 201–211 15
26. R. L. Dobrushin, “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  mathnet  mathscinet  zmath; Math. USSR-Sb., 23:1 (1974), 13–44 12
27. R. L. Dobrushin, “Conditions for the absence of phase transitions in one-dimensional classical systems”, Mat. Sb. (N.S.), 93(135):1 (1974),  29–49  mathnet  mathscinet  zmath; Math. USSR-Sb., 22:1 (1974), 28–48 12
28. R. L. Dobrushin, B. S. Nakhapetian, “Strong convexity of the pressure for lattice systems of classical statistical physics”, TMF, 20:2 (1974),  223–234  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 20:2 (1974), 782–790 15
1973
29. R. L. Dobrushin, R. A. Minlos, “Construction of a one-dimensional quantum field by means of a continuous markov field”, Funktsional. Anal. i Prilozhen., 7:4 (1973),  81–82  mathnet  mathscinet  zmath; Funct. Anal. Appl., 7:4 (1973), 324–325 21
1972
30. R. L. Dobrushin, “Asymptotic behavior of Gibbsian distributions for lattice systems and its dependence on the form of the volume”, TMF, 12:1 (1972),  115–134  mathnet  mathscinet; Theoret. and Math. Phys., 12:1 (1972), 699–711 22
31. R. L. Dobrushin, “Gibbs state describing coexistence of phases for a three-dimensional Ising model”, Teor. Veroyatnost. i Primenen., 17:4 (1972),  619–639  mathnet  mathscinet  zmath; Theory Probab. Appl., 17:4 (1973), 582–600 140
1971
32. R. L. Dobrushin, “Markov Processes with Many Locally Interacting Components – the Reversible Case and Some Generalizations”, Probl. Peredachi Inf., 7:3 (1971),  57–66  mathnet  mathscinet  zmath; Problems Inform. Transmission, 7:3 (1971), 235–241 4
33. R. L. Dobrushin, “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  mathnet  mathscinet  zmath; Problems Inform. Transmission, 7:2 (1971), 149–164 4
1970
34. R. L. Dobrushin, “Gibbsian random fields for particles without hard core”, TMF, 4:1 (1970),  101–118  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 4:1 (1970), 705–719 31
35. R. L. Dobrushin, “Definition of random variables by conditional distributions”, Teor. Veroyatnost. i Primenen., 15:3 (1970),  469–497  mathnet  mathscinet  zmath; Theory Probab. Appl., 15:3 (1970), 458–486 417
1969
36. R. L. Dobrushin, “Gibbsian random fields. The general case”, Funktsional. Anal. i Prilozhen., 3:1 (1969),  27–35  mathnet  mathscinet  zmath; Funct. Anal. Appl., 3:1 (1969), 22–28 72
37. R. L. Dobrushin, M. S. Pinsker, “Memory Increases Transmission Capacity”, Probl. Peredachi Inf., 5:1 (1969),  94–95  mathnet  zmath; Problems Inform. Transmission, 5:1 (1969), 77–78 3
1968
38. R. L. Dobrushin, “The problem of uniqueness of a gibbsian random field and the problem of phase transitions”, Funktsional. Anal. i Prilozhen., 2:4 (1968),  44–57  mathnet  mathscinet  zmath; Funct. Anal. Appl., 2:4 (1968), 302–312 188
39. R. L. Dobrushin, “Gibbsian random fields for lattice systems with pairwise interactions”, Funktsional. Anal. i Prilozhen., 2:4 (1968),  31–43  mathnet  mathscinet  zmath; Funct. Anal. Appl., 2:4 (1968), 292–301 131
40. N. D. Vvedenskaya, R. L. Dobrushin, “The Computation on a Computer of the Channel Capacity of a Line with Symbol Drop-Out”, Probl. Peredachi Inf., 4:3 (1968),  92–95  mathnet; Problems Inform. Transmission, 4:3 (1968), 76–79
41. R. L. Dobrushin, “The description of the random field by its conditional distributions and its regularity conditions”, Teor. Veroyatnost. i Primenen., 13:2 (1968),  201–229  mathnet  mathscinet  zmath; Theory Probab. Appl., 13:2 (1968), 197–224 476
1967
42. R. L. Dobrushin, “Shannon's Theorems for Channels with Synchronization Errors”, Probl. Peredachi Inf., 3:4 (1967),  18–36  mathnet  mathscinet  zmath; Problems Inform. Transmission, 3:4 (1967), 11–26 3
43. R. L. Dobrushin, R. A. Minlos, “Existence and continuity of pressure in classic statistical physics”, Teor. Veroyatnost. i Primenen., 12:4 (1967),  595–618  mathnet  mathscinet; Theory Probab. Appl., 12:4 (1967), 535–559 29
1965
44. R. L. Dobrushin, “Existence of a phase transition in the two-dimensional and three-dimensional Ising models”, Dokl. Akad. Nauk SSSR, 160:5 (1965),  1046–1048  mathnet  mathscinet 2
45. R. L. Dobrushin, “The existence of a phase transition in the two- and three-dimensional Ising models”, Teor. Veroyatnost. i Primenen., 10:2 (1965),  209–230  mathnet  zmath; Theory Probab. Appl., 10:2 (1965), 193–213 68
1964
46. R. L. Dobrušin, “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  mathnet  mathscinet  zmath; Theory Probab. Appl., 9:4 (1964), 566–581 38
1963
47. R. L. Dobrushin, “Unified methods of information transmission. The general case”, Dokl. Akad. Nauk SSSR, 149:1 (1963),  16–19  mathnet  mathscinet  zmath 1
48. R. L. Dobrushin, “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  mathnet  mathscinet  zmath 1
49. R. L. Dobrushin, “The Asymptotic Optimum Properties of Group and Systematic Codes for Some Channels”, Teor. Veroyatnost. i Primenen., 8:1 (1963),  52–66  mathnet; Theory Probab. Appl., 8:1 (1963), 47–60 35
1962
50. R. L. Dobrušin, “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  mathnet; Theory Probab. Appl., 7:3 (1962), 270–300 22
51. R. L. Dobrušin, “Optimal Binary Codes for Small Rates of Transmission of Information”, Teor. Veroyatnost. i Primenen., 7:2 (1962),  208–213  mathnet; Theory Probab. Appl., 7:2 (1962), 199–204 7
1961
52. R. L. Dobrushin, “Математические методы в лингвистике”, Mat. Pros., Ser. 2, 6 (1961),  37–60  mathnet
1960
53. R. L. Dobrushin, “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  mathnet  mathscinet  zmath 1
54. R. L. Dobrushin, “Properties of Sample Functions of a Stationary Gaussian Process”, Teor. Veroyatnost. i Primenen., 5:1 (1960),  132–134  mathnet; Theory Probab. Appl., 5:1 (1960), 120–122 5
55. R. L. Dobrushin, “Limit Approach under the Signs of Information and Entropy”, Teor. Veroyatnost. i Primenen., 5:1 (1960),  29–37  mathnet; Theory Probab. Appl., 5:1 (1960), 25–32 8
1959
56. R. L. Dobrushin, “A general formulation of the fundamental theorem of Shannon in the theory of information”, Uspekhi Mat. Nauk, 14:6(90) (1959),  3–104  mathnet  mathscinet  zmath 7
1958
57. R. L. Dobrushin, “A Simplified Method of Experimentally Evaluating the Entropy of a Stationary Sequence”, Teor. Veroyatnost. i Primenen., 3:4 (1958),  462–464  mathnet; Theory Probab. Appl., 3:4 (1958), 428–430 24
58. R. L. Dobrushin, “Information Transmission in a Channel with Feedback”, Teor. Veroyatnost. i Primenen., 3:4 (1958),  395–412  mathnet; Theory Probab. Appl., 3:4 (1958), 367–383 39
59. R. L. Dobrushin, “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  mathnet; Theory Probab. Appl., 4:2 (1958), 161–173 21
60. R. L. Dobrushin, “The Continuity Condition for the Sample Functions of a Martingale”, Teor. Veroyatnost. i Primenen., 3:1 (1958),  97–98  mathnet; Theory Probab. Appl., 3:1 (1958), 92–93 4
1957
61. R. L. Dobrushin, “Some Classes of Homogeneous Denumerable Markov Processes”, Teor. Veroyatnost. i Primenen., 2:3 (1957),  377–380  mathnet; Theory Probab. Appl., 2:3 (1957), 366–369 2
1956
62. R. L. Dobrushin, “An Example of a Countable Homogeneous Markov Process All States of which are Transient”, Teor. Veroyatnost. i Primenen., 1:4 (1956),  481–485  mathnet; Theory Probab. Appl., 1:4 (1956), 436–440 3
63. R. L. Dobrushin, “Central Limit Theorem for Nonstationary Markov Chains. II”, Teor. Veroyatnost. i Primenen., 1:4 (1956),  365–425  mathnet; Theory Probab. Appl., 1:4 (1956), 329–383 112
64. R. L. Dobrushin, “Central Limit Theorem for Nonstationary Markov Chains. I”, Teor. Veroyatnost. i Primenen., 1:1 (1956),  72–89  mathnet; Theory Probab. Appl., 1:1 (1956), 65–80 206
1955
65. R. L. Dobrushin, “Two limit theorems for the simplest random walk on a line”, Uspekhi Mat. Nauk, 10:3(65) (1955),  139–146  mathnet  mathscinet  zmath 3
66. R. L. Dobrushin, “Lemma on the limit of compound random functions”, Uspekhi Mat. Nauk, 10:2(64) (1955),  157–159  mathnet  mathscinet  zmath 3
1954
67. R. L. Dobrushin, “Conditions of regularity of Markov processes with a finite number of possible states”, Mat. Sb. (N.S.), 34(76):3 (1954),  541–556  mathnet  mathscinet  zmath 2
1953
68. R. L. Dobrushin, “Limit theorems for a Markov chain of two states”, Izv. Akad. Nauk SSSR Ser. Mat., 17:4 (1953),  291–330  mathnet  mathscinet  zmath 2
69. R. L. Dobrushin, “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  mathnet  mathscinet  zmath 1
1952
70. R. L. Dobrushin, “On conditions of regularity of stationary Markov processes with a denumerable number of possible states”, Uspekhi Mat. Nauk, 7:6(52) (1952),  185–191  mathnet  mathscinet  zmath 1
1996
71. 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
1994
72. N. D. Vvedenskaya, R. L. Dobrushin, A. L. Onishchik, V. A. Uspenskii, “Evgenii Borisovich Dynkin (on his seventieth birthday)”, Uspekhi Mat. Nauk, 49:4(298) (1994),  183–188  mathnet  mathscinet; Russian Math. Surveys, 49:4 (1994), 183–191  isi 1
1993
73. V. I. Arnol'd, N. S. Bakhvalov, K. V. Brushlinskii, I. M. Gel'fand, R. L. Dobrushin, A. V. Zabrodin, I. A. Ibragimov, S. P. Kurdyumov, S. P. Novikov, D. E. Okhotsimskii, Yu. V. Prokhorov, Yu. B. Radvogin, Ya. G. Sinai, R. Z. Khas'minskii, A. S. Holevo, A. N. Shiryaev, T. M. Eneev, “Nikolai Nikolaevich Chentsov (obituary)”, Uspekhi Mat. Nauk, 48:2(290) (1993),  165–168  mathnet  mathscinet; Russian Math. Surveys, 48:2 (1993), 161–166  isi 2
74. N. S. Bakhvalov, A. A. Borovkov, R. L. Dobrushin, A. V. Zabrodin, V. M. Zolotarev, I. A. Ibragimov, Yu. V. Prokhorov, B. A. Sevast'yanov, Ya. G. Sinai, A. V. Skorokhod, V. A. Statulyavichus, R. Z. Khas'minskii, A. S. Kholevo, D. M. Chibisov, A. N. Shiryaev, “Memorial: Nikolai Nikolaevitch Chentsov”, Teor. Veroyatnost. i Primenen., 38:3 (1993),  613–623  mathnet  mathscinet  zmath; Theory Probab. Appl., 38:3 (1993), 506–515  isi 1
1992
75. R. L. Dobrushin, A. A. Kirillov, V. A. Malyshev, Ya. G. Sinai, A. Ya. Helemskii, “Robert Adol'fovich Minlos (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 47:1(283) (1992),  225–226  mathnet  mathscinet; Russian Math. Surveys, 47:1 (1992), 275–277  isi
1981
76. N. N. Bogolyubov, I. M. Gel'fand, R. L. Dobrushin, A. A. Kirillov, M. G. Krein, D. A. Leites, R. A. Minlos, Ya. G. Sinai, M. A. Shubin, “Feliks Aleksandrovich Berezin (obituary)”, Uspekhi Mat. Nauk, 36:4(220) (1981),  185–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:4 (1981), 209–216  isi 1
1980
77. V. P. Myasnikov, M. V. Fedoryuk, C. Boldrighini, R. L. Dobrushin, Yu. M. Sukhov, A. S. Schwarz, S. L. Ziglin, B. A. Dubrovin, S. P. Novikov, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 35:5(215) (1980),  251–256  mathnet 2
1978
78. V. I. Arnol'd, A. L. Gol'denveizer, V. B. Lidskii, I. M. Krichever, A. N. Varchenko, R. L. Dobrushin, A. A. Barmin, S. V. Manakov, V. A. Malyshev, R. A. Minlos, L. D. Faddeev, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 33:2(200) (1978),  225–231  mathnet 2
1966
79. R. L. Dobrushin, “Letter to the Editor”, Teor. Veroyatnost. i Primenen., 11:3 (1966),  548–549  mathnet  mathscinet; Theory Probab. Appl., 11:3 (1966), 486–487
1964
80. R. L. Dobrushin, “Errata and misprints”, Teor. Veroyatnost. i Primenen., 9:2 (1964),  400  mathnet
1958
81. R. L. Dobrushin, “Errata to the article in v. I, № 1, № 4”, Teor. Veroyatnost. i Primenen., 3:4 (1958),  477  mathnet

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