Edit Profile (opens in new tab) Dobrushin, Roland L’vovich Compute Distance To: Compute Author ID: dobrushin.roland-lvovich Published as: Dobrushin, R. L.; Dobrushin, Roland L.; Dobrushin, R.; Dobrushin, Roland L’vovic; Dobrushin, Roland Lvovich Further Spellings: Добрушин Роланд Львович External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 158 Publications since 1952, including 5 Books 12 Contributions as Editor · 1 Further Contribution Biographic References: 15 Publications Co-Authors: 73 Co-Authors with 93 Joint Publications 2,231 Co-Co-Authors all top 5 Co-Authors 75 single-authored 14 Minlos, Robert Adol’fovich 12 Shlosman, Senya B. 10 Suhov, Yurii Mikhailovich 9 Sinaĭ, Yakov Grigor’evich 6 Kelbert, Mark Ya. 5 Pechersky, Eugene A. 4 Pinsker, Mark Semenovich 4 Shubin, Mikhail Aleksandrovich 3 Bassalygo, Leonid A. 3 Gel’fand, Sergeĭ Izrail’evich 3 Kryukov, Vitaly I. 3 Toom, A. L. 3 Tsybakov, Boris S. 3 Vershik, Anatoliĭ Moiseevich 2 Avetisyan, M. G. 2 Bogolyubov, Nikolaĭ Nikolaevich 2 Gel’fand, Israil’ Moiseevich 2 Hryniv, Ostap 2 Khas’minskiĭ, Rafail Zalmanovich 2 Khurgin, Ya. I. 2 Kirillov, Alexandre Aleksandrovich 2 Kotecký, Roman 2 Kreĭn, Mark Grigor’evich 2 Leites, Dimitry A. 2 Major, Peter 2 Maslova, Nina Borisovna 2 Nakhapetyan, B. S. 2 Ortyukov, S. I. 2 Pellegrinotti, Alessandro 2 Prelov, Vyacheslav V. 2 Shiryaev, Al’bert Nikolaevich 2 Triolo, Livio 1 Abdulla-Zade, F. G. 1 Ambartzumian, Ruben Victorovich 1 Bakhvalov, Nikolai Sergeevich 1 Blinovskij, V. M. 1 Borisyuk, Galina N. 1 Borisyuk, Roman M. 1 Borovkov, Aleksandr Alekseevich 1 Bunimovich, Leonid Abramovich 1 Chibisov, Dmitriĭ Mikhaĭlovich 1 Dani, Shrikrishna Gopalrao 1 Féron, Robert L. 1 Gečiauskas, Evaldas 1 Gercik, V. M. 1 Gray, Robert Molten 1 Griffeath, David 1 Griniv, O. O. 1 Groeneboom, Piet 1 Kholevo, Aleksandr Semënovich 1 Ibragimov, Il’dar Abdullovich 1 Karpelevich, Friedrich I. 1 Kendall, David George 1 Kent, John T. 1 Kingman, John Frank Charles 1 Kirillov, Alexandr B. 1 Kolmogorov, Andreĭ Nikolaevich 1 Komarov, A. S. 1 König, Dieter 1 Kornfel’d, I. P. 1 Kovalenko, E. I. 1 Krickeberg, Klaus 1 Kusuoka, Shigeo 1 Leontovich, Aleksandr Mikhaĭlovich 1 Leoux, M. 1 Lupanov, Oleg Borisovich 1 Maksimov, Valeri M. 1 Mardia, Kanti V. 1 Martirosyan, M. R. 1 Matthes, Klaus 1 Mecke, Joseph 1 Mityushin, L. G. 1 Nguyen Xuan Xanh 1 Ornstein, Donald Samuel 1 Papangelou, Fredos 1 Pesin, Yakov Borisovich 1 Peterson, W. Wesley 1 Petrov, Boris Nikolaevich 1 Petrovskaya, M. B. 1 Piterbarg, Vladimir Il’ich 1 Preston, Christopher J. 1 Prokhorov, Yuriĭ Vasil’evich 1 Ripley, Brian David 1 Sewat’yanov, B. A. 1 Shannon, Claude Elwood 1 Shnirman, M. G. 1 Siegmund-Schultze, Rainer 1 Skorokhod, Anatoliĭ Volodymyrovych 1 Smillie, John 1 Sokolovskij, F. G. 1 Stambler, S. Z. 1 Statulevičius, Vytautas 1 Surgailis, Donatas 1 Taj, M. L. 1 Terletskij, Yu. A. 1 Tirozzi, Brunello 1 Tsirelson, Boris 1 Ulanov, G. M. 1 Ulyanov, Sergey V. 1 Urbanik, Kazimierz ...and 8 more Co-Authors all top 5 Serials 15 Teoriya Veroyatnosteĭ i eë Primeneniya 14 Theory of Probability and its Applications 11 Problemy Peredachi Informatsii 9 Uspekhi Matematicheskikh Nauk [N. S.] 6 Problems of Information Transmission 6 Russian Mathematical Surveys 6 Functional Analysis and its Applications 4 Communications in Mathematical Physics 4 Journal of Statistical Physics 3 Doklady Akademii Nauk SSSR 3 Teoreticheskaya i Matematicheskaya Fizika 3 Soviet Mathematics. Doklady 3 Selecta Mathematica Sovietica 3 Lecture Notes in Mathematics 2 Soviet Scientific Reviews. Section C 2 Theoretical and Mathematical Physics 2 The Annals of Probability 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Selected Translations in Mathematical Statistics and Probability 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 2 Probability Theory and Related Fields 2 Mathematics of the USSR, Sbornik 2 Problems of Control and Information Theory 2 Problemy Kibernetiki 2 Probleme der Kybernetik 2 Translations. Series 2. American Mathematical Society 1 Advances in Applied Probability 1 IEEE Transactions on Information Theory 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Soviet Mathematics 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Journal of Applied Mathematics and Stochastic Analysis 1 Fiziko-Matematichesko Spisanie 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Litovskiĭ Matematicheskiĭ Sbornik 1 A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Advances in Probability and Related Topics 1 Advances in Soviet Mathematics 1 Encyclopaedia of Mathematical Sciences 1 Mathematics and Its Applications. Soviet Series 1 Translations of Mathematical Monographs 1 Translations. Series 2. American Mathematical Society 1 IRE Transactions on Information Theory all top 5 Fields 86 Probability theory and stochastic processes (60-XX) 41 Statistical mechanics, structure of matter (82-XX) 22 Information and communication theory, circuits (94-XX) 11 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 5 Fluid mechanics (76-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Computer science (68-XX) 4 Quantum theory (81-XX) 3 Mechanics of particles and systems (70-XX) 3 Biology and other natural sciences (92-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 1,895 times in 1,515 Documents Cited by ▼ Year ▼ Non-central limit theorems for non-linear functionals of Gaussian fields. Zbl 0397.60034Dobrushin, R. L.; Major, P. 288 1979 Prescribing a system of random variables by conditional distributions. Zbl 0264.60037Dobrushin, R. L. 169 1970 The description of a random field by means of conditional probabilities and conditions of its regularity. Zbl 0184.40403Dobrushin, R. L. 152 1968 Vlasov equations. Zbl 0422.35068Dobrushin, R. L. 135 1979 Gaussian and their subordinates self-similar random generalized fields. Zbl 0392.60039Dobrushin, R. L. 91 1979 Wulff construction. A global shape from local interaction. Transl. from the Russian by the authors. Zbl 0917.60103Dobrushin, R.; Kotecký, R.; Shlosman, S. 82 1992 The problem of uniqueness of a Gibbsian random field and the problem of phase transitions. Zbl 0192.61702Dobrushin, R. L. 80 1968 Completely analytical interactions: Constructive description. Zbl 0683.60080Dobrushin, R. L.; Shlosman, S. B. 68 1987 Central limit theorem for non-stationary Markov chains. I, II. Zbl 0093.15001Dobrushin, R. L. 60 1956 Constructive criterion for the uniqueness of Gibbs field. Zbl 0569.46042Dobrushin, R. L.; Shlosman, S. B. 56 1985 Queueing system with selection of the shortest of two queues: An asymptotic approach. Zbl 0898.60095Vvedenskaya, N. D.; Dobrushin, R. L.; Karpelevich, F. I. 53 1996 Gibbs state describing coexistence of phases for a three-dimensional Ising model. Zbl 0275.60119Dobrushin, R. L. 46 1972 Gibbsian random fields for lattice systems with pairwise interactions. Zbl 1183.82023Dobrushin, R. L. 40 1968 Non-equilibrium dynamcis of one-dimensional infinite particle systems with a hard-core interaction. Zbl 0987.82502Dobrushin, R. L.; Fritz, J. 37 1977 Completely analytical Gibbs fields. Zbl 0569.46043Dobrushin, R. L.; Shlosman, S. B. 35 1985 The central limit theorem and the problem of equivalence of ensembles. Zbl 0391.60095Dobrushin, R. L.; Tirozzi, Brunello 33 1977 Existence of a phase transition in two-dimensional and three-dimensional Ising models. Zbl 0168.23803Dobrushin, R. L. 17 1965 Perturbation methods of the theory of Gibbsian fields. Zbl 0871.60086Dobrushin, R. L. 16 1996 The problem of translation invariance of Gibbs states at low temperatures. Zbl 0613.76010Dobrushin, R. L.; Shlosman, S. B. 16 1985 Statistical mechanics and fractals. Zbl 0787.60119Dobrushin, Roland Lvovich; Kusuoka, Shigeo 16 1993 Gibbsian random fields. The general case. Zbl 0192.61801Dobrushin, R. L. 16 1969 Estimates of semi-invariants for the Ising model at low temperatures. Zbl 0873.60074Dobrushin, R. L. 13 1996 Polynomials in linear random functions. Zbl 0378.60024Dobrushin, R. L.; Minlos, R. A. 12 1977 One-dimensional harmonic lattice caricature of hydrodynamics. Zbl 0629.76003Dobrushin, R. L.; Pellegrinotti, A.; Sukhov, Yu. M.; Triolo, L. 12 1986 Uniqueness of a Gibbs field with random potential. An elementary approach. Zbl 0635.60107Bassalygo, L. A.; Dobrushin, R. L. 12 1986 Fluctuations of the phase boundary in the 2D Ising ferromagnet. Zbl 0888.60083Dobrushin, R.; Hryniv, O. 11 1997 Gibbsian random fields for particles without hard core. Zbl 1183.82024Dobrushin, R. L. 11 1970 Gaussian random fields. Gibbsian point of view. Zbl 0499.60046Dobrushin, R. L. 11 1980 Investigation of Gibbsian states for three-dimensional lattice systems. Zbl 0293.60093Dobrushin, R. L. 10 1973 An investigation of the properties of generalized Gaussian random fields. Zbl 0502.60037Dobrushin, R. L.; Minlos, R. A. 10 1976 Fluctuations of shapes of large areas under paths of random walks. Zbl 0853.60057Dobrushin, R.; Hryniv, O. 10 1996 Automodel generalized random fields and their renorm-group. Zbl 0499.60047Dobrushin, R. L. 10 1980 Upper bound to redundency of self correcting schemes with unreliable functional elements. Zbl 0376.93052Dobrushin, R. L.; Ortyukov, S. I. 9 1977 Large and moderate deviations in the Ising model. Zbl 0815.60024Dobrushin, Roland L.; Shlosman, Senya B. 9 1994 “Non-Gibbsian” states and their Gibbs description. Zbl 0918.60094Dobrushin, R. L.; Shlosman, S. B. 9 1999 One-dimensional harmonic lattice caricature of hydrodynamics: Second approximation. Zbl 1082.82505Dobrushin, R. L.; Pellegrinotti, A.; Suhov, Yu. M.; Triolo, L. 8 1988 Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500Bunimovich, L. A.; Dani, S. G.; Dobrushin, R. L.; Jakobson, M. V.; Kornfeld, I. P.; Maslova, N. B.; Pesin, Ya. B.; Sinai, Ya. G.; Smillie, J.; Sukhov, Yu. M.; Vershik, A. M. 8 2000 Process level large deviations for a class of piecewise homogeneous random walks. Zbl 0819.60029Blinovskij, V. M.; Dobrushin, R. L. 8 1994 Strong convexity of the pressure for lattice systems of classical statistical physics. Zbl 0331.60066Dobrushin, R. L.; Nakhapetyan, B. S. 7 1975 Large deviations for tandem queueing systems. Zbl 0823.90044Dobrushin, Roland L.; Pechersky, Eugene A. 7 1994 Investigation of conditions for the asymptotic existence of the configuration integral of Gibb’s distribution. Zbl 0168.23804Dobrushin, R. L. 7 1965 Asymptotic analysis of a starlike network with large number of radial rays and message switching. Zbl 0377.60079Dobrushin, R. L.; Sukhov, Yu. M. 6 1976 Strong convexity of pressure for lattice systems of classical statistical physics. Zbl 0311.60063Dobrushin, R. L.; Nakhapetyan, B. S. 6 1974 Phase diagrams for continuous-spin models: an extension of the Pirogov- Sinai theory. Zbl 0611.58025Dobrushin, R. L.; Zahradník, M. 6 1986 Block synchronization, sliding-block coding, invulnerable sources and zero error codes for discrete noisy channels. Zbl 0453.94010Gray, R. M.; Ornstein, D. S.; Dobrushin, R. L. 6 1980 Gibbsian description of ‘non-Gibbsian’ fields. Zbl 0921.60040Dobrushin, R. L.; Shlosman, S. B. 6 1997 General formulation of Shannon’s main theorem in information theory. Translated by E. Hewitt. Zbl 0132.39802Dobrushin, R. L. 6 1963 Nonfinite perturbations of Gibbs fields. Zbl 1268.60071Dobrushin, R. L.; Martirosyan, M. R. 6 1988 Construction of a one-dimensional quantum field by means of a continuous Markov field. Zbl 0294.60081Dobrushin, R. L.; Minlos, R. A. 5 1974 Generalization of Kolmogorov’s equations for Markov processes with a finite number of possible states. (Eine Verallgemeinerung der Gleichungen von Kolmogorov für Markovsche Prozesse mit endlich vielen möglichen Zuständen.) Zbl 0052.36304Dobrushin, R. L. 5 1953 A simplified method of experimentally evaluating the entropy of a stationary sequence. Zbl 0094.12401Dobrushin, R. L. 5 1958 Properties of sample functions of stationary Gaussian processes. Zbl 0147.16002Dobrushin, R. L. 4 1960 Completely analytic interactions with infinite values. Zbl 0694.60095Dobrushin, R. L.; Warstat, V. 4 1990 On the problem of the mathematical foundation of the Gibbs postulate in classical statistical mechanics. Zbl 0439.70016Dobrushin, R. L.; Sukhov, Y. M. 4 1978 Ein Lemma über den Grenzwert einer zusammengesetzten Zufallsfunktion. Zbl 0067.10704Dobrushin, R. L. 4 1955 Papers on information theory and cybernetics. Translated from the English and edited by R. L. Dobrushin and O. B. Lupanov. With a preface by A. N. Kolmogorov. (Работы по теории информации и кибернетике.) Zbl 0115.13004Shannon, Claude E. 4 1963 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. Zbl 0116.35105Dobrushin, R. L. 4 1961 Information transmission with additional noise. Zbl 0221.94030Dobrushin, R. L.; Tsybakov, B. S. 4 1962 A. N. Kolmogorov - the founder of the theory of reversible Markov processes. Zbl 0717.60001Dobrushin, R. L.; Sukhov, Yu. M.; Fritz, J. 4 1988 On the lower bound for the redundancy of selfcorrecting schemes with unreliable functional elements. Zbl 0364.94047Dobrushin, R. L.; Ortyukov, S. I. 3 1977 Survey of Soviet research in information theory. Zbl 0242.94001Dobrushin, R. L. 3 1972 Lectures on probability theory and statistics. Ecole d’été de probabilités de Saint-Flour XXIV – 1994. Lectures given at the summer school in Saint-Flour, France, July 7–23, 1994. Zbl 0855.00026 3 1996 Large deviations for random processes with independent increments on infinite intervals. Zbl 0923.60033Dobrushin, R. L.; Pechersky, E. A. 3 1996 Thermodynamic inequalities for the surface tension and the geometry of the Wulff construction. Zbl 0786.52006Dobrushin, R. L.; Shlosman, S. B. 3 1992 On the innovation problem for Gaussian Markov random fields. Zbl 0393.60053Dobrushin, R. L.; Surgailis, D. 3 1979 The moments and polynomials of a generalized random field. Zbl 0422.60044Dobrushin, R. L.; Minlos, R. A. 3 1979 Large deviations for random processes with independent increments on infinite intervals. Zbl 0935.60073Dobrushin, R. L.; Pecherskij, E. A. 3 1998 Gibbs states in lattice models with two-step interaction. Zbl 0351.60089Gertsik, V. M.; Dobrushin, R. L. 3 1974 Gibbsian random fields for particles without hard core. Zbl 1182.82002Dobrushin, R. L. 3 1970 The continuity condition for sample martingale functions. Zbl 0082.34203Dobrushin, R. L. 3 1958 General statement of Shannon’s main theorem in the information theory. Zbl 0092.34003Dobrushin, R. L. 3 1959 Transmission of information in channels with feedback. Zbl 0094.12402Dobrushin, R. L. 3 1958 Eine allgemeine Formulierung des Fundamentalsatzes von Shannon in der Informationstheorie. Zbl 0102.12802Dobrushin, R. L. 3 1959 Passage to the limit under the information and entropy signs. Zbl 0106.11701Dobrushin, R. L. 3 1961 Limit theorems for a Markov chain of two states. Zbl 0112.09904Dobrushin, R. L. 3 1961 Locally interacting systems and their application in biology. Proceedings of the school-seminar on Markov interaction processes in biology, held in Pushchino, Moscow Region, March 1976. Zbl 0367.00029 2 1978 Conditions for the absence of phase transitions in one-dimensional classical systems. Zbl 0307.60081Dobrushin, R. L. 2 1975 On the asymptotic behavior of some self-similar random fields. Zbl 0505.60063Dobrushin, R. L.; Major, P. 2 1981 Dynamical systems of statistical mechanics and kinetic equations. Zbl 0781.58037Dobrushin, R. L.; Sinai, Ya. G.; Sukhov, Yu. M.; Maslova, N. B. 2 1985 Die Vlasovschen Gleichungen. Zbl 0405.35069Dobrushin, R. L. 2 1979 Polynomials of generalized random field and its moments. Zbl 0405.60054Dobrushin, R. L.; Minlos, R. A. 2 1978 Asymptotic approach to the investigation of message switching networks of linear structure with a large number of centers. Zbl 0435.94041Dobrushin, R. L.; Prelov, V. V. 2 1979 Time asymptotics for some degenerate models of evolution of systems with an infinite number of particles. Zbl 0462.60097Dobrushin, R. L.; Sukhov, Yu. M. 2 1981 Contemporary mathematical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Zbl 0845.00041 2 1996 A. N. Kolmogorov - the founder of the theory of inverse Markov processes. Zbl 0669.60001Dobrushin, R. L.; Sukhov, Yu. M.; Fritz, J. 2 1988 A new approach to the analysis of Gibbs perturbations of Gaussian fields. Zbl 0674.60092Dobrushin, R. L. 2 1988 Droplet condensation in the Ising model: Moderate deviations point of view. Zbl 0832.60032Dobrushin, Roland L.; Shlosman, Senya B. 2 1994 An example of a countable homogeneous Markoff process all states of which are instantaneous. Zbl 0078.32003Dobrushin, R. L. 2 1957 Limit approach under the signs of information and entropy. Zbl 0094.12302Dobrushin, R. L. 2 1960 Asymptotic estimates of the probability of error for transmission of messages over a discrete memoryless communication channel with a symmetric transition probability matrix. Zbl 0116.10202Dobrushin, R. L. 2 1963 Error-correcting codes. (Translated from the English by L. E. Filippova. Edited by R. L. Dobrushin. (Коды, исправляющие ошибки.) Zbl 0122.37401Peterson, W. Wesley 2 1964 Unified methods for transmission of information for discrete channels without memory and messages with independent components. Zbl 0124.11306Dobrushin, R. L. 2 1963 The description of the random field by its conditional distributions and its regularity conditions. Zbl 0177.45202Dobrushin, R. L. 2 1968 Polynome von linearen zufälligen Funktionen. Zbl 0364.60055Dobrushin, R. L.; Minlos, R. A. 1 1977 The memory increases the channel capacity. Zbl 0258.94012Dobrushin, R. L.; Pinsker, M. S. 1 1969 On the complexity of coding. Zbl 0277.94004Gelfand, S. I.; Dobrushin, R. L.; Pinsker, M. S. 1 1973 Coding theorems for classes of discrete memoryless arbitrary time-varying channels. Zbl 0316.94013Dobrushin, R. L.; Stambler, S. Z. 1 1975 Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential. Zbl 0321.60086Dobrushin, R. L. 1 1975 Topics in statistical and theoretical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Zbl 0853.00022 1 1996 \(\epsilon\)-entropy of the Gibbs field. Zbl 0635.94001Bassalygo, L. A.; Dobrushin, R. L. 1 1987 Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500Bunimovich, L. A.; Dani, S. G.; Dobrushin, R. L.; Jakobson, M. V.; Kornfeld, I. P.; Maslova, N. B.; Pesin, Ya. B.; Sinai, Ya. G.; Smillie, J.; Sukhov, Yu. M.; Vershik, A. M. 8 2000 “Non-Gibbsian” states and their Gibbs description. Zbl 0918.60094Dobrushin, R. L.; Shlosman, S. B. 9 1999 Large deviations for random processes with independent increments on infinite intervals. Zbl 0935.60073Dobrushin, R. L.; Pecherskij, E. A. 3 1998 Fluctuations of the phase boundary in the 2D Ising ferromagnet. Zbl 0888.60083Dobrushin, R.; Hryniv, O. 11 1997 Gibbsian description of ‘non-Gibbsian’ fields. Zbl 0921.60040Dobrushin, R. L.; Shlosman, S. B. 6 1997 A mathematical approach to foundations of statistical mechanics. Zbl 1039.82002Dobrushin, Roland L. 1 1997 Queueing system with selection of the shortest of two queues: An asymptotic approach. Zbl 0898.60095Vvedenskaya, N. D.; Dobrushin, R. L.; Karpelevich, F. I. 53 1996 Perturbation methods of the theory of Gibbsian fields. Zbl 0871.60086Dobrushin, R. L. 16 1996 Estimates of semi-invariants for the Ising model at low temperatures. Zbl 0873.60074Dobrushin, R. L. 13 1996 Fluctuations of shapes of large areas under paths of random walks. Zbl 0853.60057Dobrushin, R.; Hryniv, O. 10 1996 Lectures on probability theory and statistics. Ecole d’été de probabilités de Saint-Flour XXIV – 1994. Lectures given at the summer school in Saint-Flour, France, July 7–23, 1994. Zbl 0855.00026 3 1996 Large deviations for random processes with independent increments on infinite intervals. Zbl 0923.60033Dobrushin, R. L.; Pechersky, E. A. 3 1996 Contemporary mathematical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Zbl 0845.00041 2 1996 Topics in statistical and theoretical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Zbl 0853.00022 1 1996 Large and moderate deviations in the Ising model. Zbl 0815.60024Dobrushin, Roland L.; Shlosman, Senya B. 9 1994 Process level large deviations for a class of piecewise homogeneous random walks. Zbl 0819.60029Blinovskij, V. M.; Dobrushin, R. L. 8 1994 Large deviations for tandem queueing systems. Zbl 0823.90044Dobrushin, Roland L.; Pechersky, Eugene A. 7 1994 Droplet condensation in the Ising model: Moderate deviations point of view. Zbl 0832.60032Dobrushin, Roland L.; Shlosman, Senya B. 2 1994 Statistical mechanics and fractals. Zbl 0787.60119Dobrushin, Roland Lvovich; Kusuoka, Shigeo 16 1993 A microscopic justification of the Wulff construction. Zbl 1096.82501Dobrushin, R. L.; Kotecký, R.; Shlosman, S. B. 1 1993 Wulff construction. A global shape from local interaction. Transl. from the Russian by the authors. Zbl 0917.60103Dobrushin, R.; Kotecký, R.; Shlosman, S. 82 1992 Thermodynamic inequalities for the surface tension and the geometry of the Wulff construction. Zbl 0786.52006Dobrushin, R. L.; Shlosman, S. B. 3 1992 Completely analytic interactions with infinite values. Zbl 0694.60095Dobrushin, R. L.; Warstat, V. 4 1990 Caricatures of hydrodynamics. Zbl 0725.76005Dobrushin, R. L. 1 1989 One-dimensional harmonic lattice caricature of hydrodynamics: Second approximation. Zbl 1082.82505Dobrushin, R. L.; Pellegrinotti, A.; Suhov, Yu. M.; Triolo, L. 8 1988 Nonfinite perturbations of Gibbs fields. Zbl 1268.60071Dobrushin, R. L.; Martirosyan, M. R. 6 1988 A. N. Kolmogorov - the founder of the theory of reversible Markov processes. Zbl 0717.60001Dobrushin, R. L.; Sukhov, Yu. M.; Fritz, J. 4 1988 A. N. Kolmogorov - the founder of the theory of inverse Markov processes. Zbl 0669.60001Dobrushin, R. L.; Sukhov, Yu. M.; Fritz, J. 2 1988 A new approach to the analysis of Gibbs perturbations of Gaussian fields. Zbl 0674.60092Dobrushin, R. L. 2 1988 Completely analytical interactions: Constructive description. Zbl 0683.60080Dobrushin, R. L.; Shlosman, S. B. 68 1987 \(\epsilon\)-entropy of the Gibbs field. Zbl 0635.94001Bassalygo, L. A.; Dobrushin, R. L. 1 1987 One-dimensional harmonic lattice caricature of hydrodynamics. Zbl 0629.76003Dobrushin, R. L.; Pellegrinotti, A.; Sukhov, Yu. M.; Triolo, L. 12 1986 Uniqueness of a Gibbs field with random potential. An elementary approach. Zbl 0635.60107Bassalygo, L. A.; Dobrushin, R. L. 12 1986 Phase diagrams for continuous-spin models: an extension of the Pirogov- Sinai theory. Zbl 0611.58025Dobrushin, R. L.; Zahradník, M. 6 1986 Constructive criterion for the uniqueness of Gibbs field. Zbl 0569.46042Dobrushin, R. L.; Shlosman, S. B. 56 1985 Completely analytical Gibbs fields. Zbl 0569.46043Dobrushin, R. L.; Shlosman, S. B. 35 1985 The problem of translation invariance of Gibbs states at low temperatures. Zbl 0613.76010Dobrushin, R. L.; Shlosman, S. B. 16 1985 Dynamical systems of statistical mechanics and kinetic equations. Zbl 0781.58037Dobrushin, R. L.; Sinai, Ya. G.; Sukhov, Yu. M.; Maslova, N. B. 2 1985 Local additive functionals of Gaussian random fields. Zbl 0537.60042Dobrushin, R. L.; Kel’bert, M. Ya. 1 1984 Stationary local additive functionals of Gaussian random fields. Zbl 0543.60061Dobrushin, R. L.; Kel’bert, M. Ya. 1 1984 On the asymptotic behavior of some self-similar random fields. Zbl 0505.60063Dobrushin, R. L.; Major, P. 2 1981 Time asymptotics for some degenerate models of evolution of systems with an infinite number of particles. Zbl 0462.60097Dobrushin, R. L.; Sukhov, Yu. M. 2 1981 The hydrodynamic limit for systems of particles with independent evolution. Zbl 0474.60084Dobrushin, Roland L’vovic; Siegmund-Schultze, Rainer 1 1981 Gaussian random fields. Gibbsian point of view. Zbl 0499.60046Dobrushin, R. L. 11 1980 Automodel generalized random fields and their renorm-group. Zbl 0499.60047Dobrushin, R. L. 10 1980 Block synchronization, sliding-block coding, invulnerable sources and zero error codes for discrete noisy channels. Zbl 0453.94010Gray, R. M.; Ornstein, D. S.; Dobrushin, R. L. 6 1980 Non-central limit theorems for non-linear functionals of Gaussian fields. Zbl 0397.60034Dobrushin, R. L.; Major, P. 288 1979 Vlasov equations. Zbl 0422.35068Dobrushin, R. L. 135 1979 Gaussian and their subordinates self-similar random generalized fields. Zbl 0392.60039Dobrushin, R. L. 91 1979 On the innovation problem for Gaussian Markov random fields. Zbl 0393.60053Dobrushin, R. L.; Surgailis, D. 3 1979 The moments and polynomials of a generalized random field. Zbl 0422.60044Dobrushin, R. L.; Minlos, R. A. 3 1979 Die Vlasovschen Gleichungen. Zbl 0405.35069Dobrushin, R. L. 2 1979 Asymptotic approach to the investigation of message switching networks of linear structure with a large number of centers. Zbl 0435.94041Dobrushin, R. L.; Prelov, V. V. 2 1979 On the problem of the mathematical foundation of the Gibbs postulate in classical statistical mechanics. Zbl 0439.70016Dobrushin, R. L.; Sukhov, Y. M. 4 1978 Locally interacting systems and their application in biology. Proceedings of the school-seminar on Markov interaction processes in biology, held in Pushchino, Moscow Region, March 1976. Zbl 0367.00029 2 1978 Polynomials of generalized random field and its moments. Zbl 0405.60054Dobrushin, R. L.; Minlos, R. A. 2 1978 Multicomponent random systems. (Mnogokomponentnye sluchajnye sistemy). Zbl 0508.60083 1 1978 Non-equilibrium dynamcis of one-dimensional infinite particle systems with a hard-core interaction. Zbl 0987.82502Dobrushin, R. L.; Fritz, J. 37 1977 The central limit theorem and the problem of equivalence of ensembles. Zbl 0391.60095Dobrushin, R. L.; Tirozzi, Brunello 33 1977 Polynomials in linear random functions. Zbl 0378.60024Dobrushin, R. L.; Minlos, R. A. 12 1977 Upper bound to redundency of self correcting schemes with unreliable functional elements. Zbl 0376.93052Dobrushin, R. L.; Ortyukov, S. I. 9 1977 On the lower bound for the redundancy of selfcorrecting schemes with unreliable functional elements. Zbl 0364.94047Dobrushin, R. L.; Ortyukov, S. I. 3 1977 Polynome von linearen zufälligen Funktionen. Zbl 0364.60055Dobrushin, R. L.; Minlos, R. A. 1 1977 An investigation of the properties of generalized Gaussian random fields. Zbl 0502.60037Dobrushin, R. L.; Minlos, R. A. 10 1976 Asymptotic analysis of a starlike network with large number of radial rays and message switching. Zbl 0377.60079Dobrushin, R. L.; Sukhov, Yu. M. 6 1976 Strong convexity of the pressure for lattice systems of classical statistical physics. Zbl 0331.60066Dobrushin, R. L.; Nakhapetyan, B. S. 7 1975 Conditions for the absence of phase transitions in one-dimensional classical systems. Zbl 0307.60081Dobrushin, R. L. 2 1975 Coding theorems for classes of discrete memoryless arbitrary time-varying channels. Zbl 0316.94013Dobrushin, R. L.; Stambler, S. Z. 1 1975 Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential. Zbl 0321.60086Dobrushin, R. L. 1 1975 Strong convexity of pressure for lattice systems of classical statistical physics. Zbl 0311.60063Dobrushin, R. L.; Nakhapetyan, B. S. 6 1974 Construction of a one-dimensional quantum field by means of a continuous Markov field. Zbl 0294.60081Dobrushin, R. L.; Minlos, R. A. 5 1974 Gibbs states in lattice models with two-step interaction. Zbl 0351.60089Gertsik, V. M.; Dobrushin, R. L. 3 1974 Investigation of Gibbsian states for three-dimensional lattice systems. Zbl 0293.60093Dobrushin, R. L. 10 1973 On the complexity of coding. Zbl 0277.94004Gelfand, S. I.; Dobrushin, R. L.; Pinsker, M. S. 1 1973 Gibbs state describing coexistence of phases for a three-dimensional Ising model. Zbl 0275.60119Dobrushin, R. L. 46 1972 Survey of Soviet research in information theory. Zbl 0242.94001Dobrushin, R. L. 3 1972 Prescribing a system of random variables by conditional distributions. Zbl 0264.60037Dobrushin, R. L. 169 1970 Gibbsian random fields for particles without hard core. Zbl 1183.82024Dobrushin, R. L. 11 1970 Gibbsian random fields for particles without hard core. Zbl 1182.82002Dobrushin, R. L. 3 1970 Gibbsian random fields. The general case. Zbl 0192.61801Dobrushin, R. L. 16 1969 The memory increases the channel capacity. Zbl 0258.94012Dobrushin, R. L.; Pinsker, M. S. 1 1969 The description of a random field by means of conditional probabilities and conditions of its regularity. Zbl 0184.40403Dobrushin, R. L. 152 1968 The problem of uniqueness of a Gibbsian random field and the problem of phase transitions. Zbl 0192.61702Dobrushin, R. L. 80 1968 Gibbsian random fields for lattice systems with pairwise interactions. Zbl 1183.82023Dobrushin, R. L. 40 1968 The description of the random field by its conditional distributions and its regularity conditions. Zbl 0177.45202Dobrushin, R. L. 2 1968 Existence of a phase transition in two-dimensional and three-dimensional Ising models. Zbl 0168.23803Dobrushin, R. L. 17 1965 Investigation of conditions for the asymptotic existence of the configuration integral of Gibb’s distribution. Zbl 0168.23804Dobrushin, R. L. 7 1965 Error-correcting codes. (Translated from the English by L. E. Filippova. Edited by R. L. Dobrushin. (Коды, исправляющие ошибки.) Zbl 0122.37401Peterson, W. Wesley 2 1964 General formulation of Shannon’s main theorem in information theory. Translated by E. Hewitt. Zbl 0132.39802Dobrushin, R. L. 6 1963 Papers on information theory and cybernetics. Translated from the English and edited by R. L. Dobrushin and O. B. Lupanov. With a preface by A. N. Kolmogorov. (Работы по теории информации и кибернетике.) Zbl 0115.13004Shannon, Claude E. 4 1963 Asymptotic estimates of the probability of error for transmission of messages over a discrete memoryless communication channel with a symmetric transition probability matrix. Zbl 0116.10202Dobrushin, R. L. 2 1963 Unified methods for transmission of information for discrete channels without memory and messages with independent components. Zbl 0124.11306Dobrushin, R. L. 2 1963 Application of limit theorems to some problems of theoretical physics. Zbl 0117.36204Dobrushin, R. L.; Minlos, R. A. 1 1963 Asymptotic optimality of group and systematic codes for some channels. Zbl 0126.35802Dobrushin, R. L. 1 1963 Unified methods for the transmission of information: The general case. Zbl 0133.12303Dobrushin, R. L. 1 1963 Possibilities of applying limit theorems of probability theory to some problems of physics. Zbl 0226.60051Dobrushin, R. L.; Minlos, R. A. 1 1963 Information transmission with additional noise. Zbl 0221.94030Dobrushin, R. L.; Tsybakov, B. S. 4 1962 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. Zbl 0116.35105Dobrushin, R. L. 4 1961 Passage to the limit under the information and entropy signs. Zbl 0106.11701Dobrushin, R. L. 3 1961 Limit theorems for a Markov chain of two states. Zbl 0112.09904Dobrushin, R. L. 3 1961 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,613 Authors 32 Leonenko, Nikolai N. 29 Taqqu, Murad S. 26 Surgailis, Donatas 20 Shlosman, Senya B. 20 Tudor, Ciprian A. 19 Kondrat’yev, Yuriĭ Grygorovych 19 Martinelli, Fabio 18 Olivieri, Enzo 16 Albeverio, Sergio A. 16 Marchioro, Carlo 15 Lebowitz, Joel Louis 15 Röckner, Michael 15 Zegarlinski, Boguslaw 14 Bai, Shuyang 14 Dobrushin, Roland L’vovich 14 Presutti, Errico 14 Ruiz-Medina, María Dolores 13 van Enter, Aernout C. D. 12 Anh, Vo V. 12 Carrillo de la Plata, José Antonio 12 Cassandro, Marzio 12 Mukhamedov, Farruh Maksutovich 12 Nourdin, Ivan 12 Olenko, Andriy Yakovych 12 Pulvirenti, Mario 11 Bricmont, Jean 11 Giraitis, Liudas 11 Pasurek, Tatiana 10 Buttà, Paolo 10 Procacci, Aldo 10 Sly, Allan 9 Fernández, Roberto 9 Kozitsky, Yuri Vasil’evich 9 Lubetzky, Eyal 9 Maes, Christian 9 Suhov, Yurii Mikhailovich 9 Wang, Xuejun 8 Accardi, Luigi 8 Beran, Jan 8 Biskup, Marek 8 Borgs, Christian 8 Ho, Hwai-Chung 8 Janžura, Martin 8 Kotecký, Roman 8 Maejima, Makoto 8 Miracle-Sole, Salvador 7 Choi, Young-Pil 7 Gallavotti, Giovanni M. 7 Høegh-Krohn, Raphael J. 7 Ioffe, Dmitry 7 Kutoviy, Oleksandr V. 7 Le Ny, Arnaud 7 Orlandi, Enza 7 Pfister, Charles-Edouard 7 Ruiz, Jean 7 Stroock, Daniel W. 7 Sullivan, Wayne G. 7 Toninelli, Fabio Lucio 6 Aizenman, Michael 6 Angulo, José Miguel 6 Cavallaro, Guido 6 Chayes, Lincoln 6 Didier, Gustavo 6 Doukhan, Paul 6 Ghosh, Sucharita 6 Golse, François 6 Hu, Shuhe 6 Major, Peter 6 Mielniczuk, Jan 6 Nualart, David 6 Paul, Thierry 6 Picco, Pierre 6 Ruelle, David Pierre 6 Spohn, Herbert 6 Wang, Lihong 5 Baccelli, François Louis 5 Bodineau, Thierry 5 Bogachev, Vladimir Igorevich 5 Campanino, Massimo 5 Chayes, Jennifer Tour 5 Cirillo, Emilio Nicola Maria 5 Fröhlich, Jürg Martin 5 Kelbert, Mark Ya. 5 Klein, Abel 5 Künsch, Hans Rudolf 5 Kupiainen, Antti 5 Löcherbach, Eva 5 Luczak, Malwina J. 5 Marcus, Brian H. 5 Menz, Georg 5 Nahapetian, Boris S. 5 Pickl, Peter 5 Rachev, Svetlozar T. 5 Robinson, Peter Michael 5 Rozikov, Utkir A. 5 Schonmann, Roberto Henrique 5 Shaposhnikov, Stanislav V. 5 Skubachevskiĭ, Aleksandr Leonidovich 5 Souissi, Abdessatar 5 Stolyar, Alexander L. ...and 1,513 more Authors all top 5 Cited in 289 Serials 185 Journal of Statistical Physics 147 Communications in Mathematical Physics 75 Stochastic Processes and their Applications 46 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 46 Probability Theory and Related Fields 44 The Annals of Probability 32 Journal of Mathematical Physics 31 The Annals of Applied Probability 28 Statistics & Probability Letters 27 Lithuanian Mathematical Journal 22 Journal of Functional Analysis 20 Bernoulli 19 Journal of Theoretical Probability 18 Archive for Rational Mechanics and Analysis 18 M\(^3\)AS. 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Armenian Academy of Sciences 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Linear Algebra and its Applications 3 Bulletin of the American Mathematical Society. New Series 3 Potential Analysis 3 Combinatorics, Probability and Computing 3 Statistical Papers 3 Journal of Nonparametric Statistics 3 Lobachevskii Journal of Mathematics 3 Stochastic Models 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mediterranean Journal of Mathematics 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Electronic Journal of Statistics 3 Advances in Mathematical Physics 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 3 SIAM/ASA Journal on Uncertainty Quantification ...and 189 more Serials all top 5 Cited in 51 Fields 965 Probability theory and stochastic processes (60-XX) 580 Statistical mechanics, structure of matter (82-XX) 178 Statistics (62-XX) 129 Partial differential equations (35-XX) 84 Quantum theory (81-XX) 78 Dynamical systems and ergodic theory (37-XX) 62 Computer science (68-XX) 57 Operations research, mathematical programming (90-XX) 47 Combinatorics (05-XX) 47 Information and communication theory, circuits (94-XX) 46 Biology and other natural sciences (92-XX) 44 Fluid mechanics (76-XX) 42 Measure and integration (28-XX) 41 Numerical analysis (65-XX) 39 Functional analysis (46-XX) 33 Operator theory (47-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Ordinary differential equations (34-XX) 20 Systems theory; control (93-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 16 Mechanics of particles and systems (70-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 9 Potential theory (31-XX) 9 Convex and discrete geometry (52-XX) 8 Special functions (33-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Mechanics of deformable solids (74-XX) 7 Number theory (11-XX) 7 Real functions (26-XX) 7 Differential geometry (53-XX) 6 General topology (54-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 4 Difference and functional equations (39-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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