×

zbMATH — the first resource for mathematics

Dobrushin, Roland Lvovich

Compute Distance To:
Author ID: dobrushin.roland-lvovich Recent zbMATH articles by "Dobrushin, Roland Lvovich"
Published as: Dobrushin, R.; Dobrushin, R. L.; Dobrushin, Roland L’vovic; Dobrushin, Roland L.; Dobrushin, Roland Lvovich
External Links: MGP · Wikidata · GND
Documents Indexed: 168 Publications since 1952, including 15 Books
Biographic References: 14 Publications
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 Fritz, Jeffrey S.
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 Bakhvalov, Nikolai Sergeevich
1 Blinovskij, V. M.
1 Borovkov, Aleksandr Alekseevich
1 Bunimovich, Leonid Abramovich
1 Chibisov, Dmitriĭ Mikhaĭlovich
1 Dani, Shrikrishna Gopalrao
1 Fritz, Jochen
1 Gercik, V. M.
1 Golubev, Yuriĭ K.
1 Gray, Robert Molten
1 Griniv, O. O.
1 Groeneboom, Piet
1 Kholevo, Aleksandr Semënovich
1 Ibragimov, Il’dar Abdullovich
1 Karpelevich, Friedrich I.
1 Kornfel’d, I. P.
1 Kusuoka, Shigeo
1 Leoux, M.
1 Martirosyan, M. R.
1 Ornstein, Donald Samuel
1 Pesin, Yakov Borisovich
1 Petrov, Boris Nikolaevich
1 Prokhorov, Yuriĭ Vasil’evich
1 Sewat’yanov, B. A.
1 Siegmund-Schultze, Rainer
1 Skorokhod, Anatoliĭ Volodymyrovych
1 Smillie, John
1 Sokolovskii, F.
1 Stambler, S. Z.
1 Statulevičius, Vytautas
1 Surgailis, Donatas
1 Tirozzi, Brunello
1 Ulanov, G. M.
1 Ulyanov, Sergey V.
1 Vvedenskaya, Nikita Dmitrievna
1 Warstat, Volker
1 Yaglom, Akiva Moiseevich
1 Yakobson, M. V.
1 Zabrodin, Anton V.
1 Zahradník, Miloš
1 Zolotarëv, Vladimir Mikhaĭlovich
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 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 Soviet Mathematics
1 Translations of Mathematical Monographs
1 Translations. Series 2. American Mathematical Society
1 IRE Transactions on Information Theory

Publications by Year

Citations contained in zbMATH

112 Publications have been cited 1,787 times in 1,428 Documents Cited by Year
Non-central limit theorems for non-linear functionals of Gaussian fields. Zbl 0397.60034
Dobrushin, R. L.; Major, P.
269
1979
Prescribing a system of random variables by conditional distributions. Zbl 0264.60037
Dobrushin, R. L.
163
1970
The description of a random field by means of conditional probabilities and conditions of its regularity. Zbl 0184.40403
Dobrushin, R. L.
148
1968
Vlasov equations. Zbl 0422.35068
Dobrushin, R. L.
112
1979
Gaussian and their subordinates self-similar random generalized fields. Zbl 0392.60039
Dobrushin, R. L.
84
1979
Wulff construction. A global shape from local interaction. Transl. from the Russian by the authors. Zbl 0917.60103
Dobrushin, R.; Kotecký, R.; Shlosman, S.
81
1992
The problem of uniqueness of a Gibbsian random field and the problem of phase transitions. Zbl 0192.61702
Dobrushin, R. L.
75
1968
Completely analytical interactions: Constructive description. Zbl 0683.60080
Dobrushin, R. L.; Shlosman, S. B.
62
1987
Central limit theorem for non-stationary Markov chains. I, II. Zbl 0093.15001
Dobrushin, R. L.
58
1956
Constructive criterion for the uniqueness of Gibbs field. Zbl 0569.46042
Dobrushin, R. L.; Shlosman, S. B.
52
1985
Queueing system with selection of the shortest of two queues: An asymptotic approach. Zbl 0898.60095
Vvedenskaya, N. D.; Dobrushin, R. L.; Karpelevich, F. I.
48
1996
Gibbs state describing coexistence of phases for a three-dimensional Ising model. Zbl 0275.60119
Dobrushin, R. L.
44
1972
Completely analytical Gibbs fields. Zbl 0569.46043
Dobrushin, R. L.; Shlosman, S. B.
35
1985
Non-equilibrium dynamcis of one-dimensional infinite particle systems with a hard-core interaction. Zbl 0987.82502
Dobrushin, R. L.; Fritz, J.
35
1977
Gibbsian random fields for lattice systems with pairwise interactions. Zbl 1183.82023
Dobrushin, R. L.
34
1968
The central limit theorem and the problem of equivalence of ensembles. Zbl 0391.60095
Dobrushin, R. L.; Tirozzi, Brunello
32
1977
Statistical mechanics and fractals. Zbl 0787.60119
Dobrushin, Roland Lvovich; Kusuoka, Shigeo
17
1993
Existence of a phase transition in two-dimensional and three-dimensional Ising models. Zbl 0168.23803
Dobrushin, R. L.
17
1965
The problem of translation invariance of Gibbs states at low temperatures. Zbl 0613.76010
Dobrushin, R. L.; Shlosman, S. B.
16
1985
Perturbation methods of the theory of Gibbsian fields. Zbl 0871.60086
Dobrushin, R. L.
15
1996
Gibbsian random fields. The general case. Zbl 0192.61801
Dobrushin, R. L.
15
1969
Estimates of semi-invariants for the Ising model at low temperatures. Zbl 0873.60074
Dobrushin, R. L.
13
1996
Uniqueness of a Gibbs field with random potential. An elementary approach. Zbl 0635.60107
Bassalygo, L. A.; Dobrushin, R. L.
12
1986
Gaussian random fields. Gibbsian point of view. Zbl 0499.60046
Dobrushin, R. L.
11
1980
Upper bound to redundency of self correcting schemes with unreliable functional elements. Zbl 0376.93052
Dobrushin, R. L.; Ortyukov, S. I.
11
1977
An investigation of the properties of generalized Gaussian random fields. Zbl 0502.60037
Dobrushin, R. L.; Minlos, R. A.
11
1976
One-dimensional harmonic lattice caricature of hydrodynamics. Zbl 0629.76003
Dobrushin, R. L.; Pellegrinotti, A.; Sukhov, Yu. M.; Triolo, L.
10
1986
Automodel generalized random fields and their renorm-group. Zbl 0499.60047
Dobrushin, R. L.
10
1980
Polynomials in linear random functions. Zbl 0378.60024
Dobrushin, R. L.; Minlos, R. A.
10
1977
Investigation of Gibbsian states for three-dimensional lattice systems. Zbl 0293.60093
Dobrushin, R. L.
10
1973
Gibbsian random fields for particles without hard core. Zbl 1183.82024
Dobrushin, R. L.
10
1970
“Non-Gibbsian” states and their Gibbs description. Zbl 0918.60094
Dobrushin, R. L.; Shlosman, S. B.
9
1999
Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500
Bunimovich, 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
Fluctuations of the phase boundary in the 2D Ising ferromagnet. Zbl 0888.60083
Dobrushin, R.; Hryniv, O.
8
1997
Fluctuations of shapes of large areas under paths of random walks. Zbl 0853.60057
Dobrushin, R.; Hryniv, O.
8
1996
Process level large deviations for a class of piecewise homogeneous random walks. Zbl 0819.60029
Blinovskij, V. M.; Dobrushin, R. L.
8
1994
Large deviations for tandem queueing systems. Zbl 0823.90044
Dobrushin, Roland L.; Pechersky, Eugene A.
7
1994
Large and moderate deviations in the Ising model. Zbl 0815.60024
Dobrushin, Roland L.; Shlosman, Senya B.
7
1994
One-dimensional harmonic lattice caricature of hydrodynamics: Second approximation. Zbl 1082.82505
Dobrushin, R. L.; Pellegrinotti, A.; Suhov, Yu. M.; Triolo, L.
7
1988
Strong convexity of the pressure for lattice systems of classical statistical physics. Zbl 0331.60066
Dobrushin, R. L.; Nakhapetyan, B. S.
7
1975
General formulation of Shannon’s main theorem in information theory. Translated by E. Hewitt. Zbl 0132.39802
Dobrushin, R. L.
7
1963
Gibbsian description of ‘non-Gibbsian’ fields. Zbl 0921.60040
Dobrushin, R. L.; Shlosman, S. B.
6
1997
Nonfinite perturbations of Gibbs fields. Zbl 1268.60071
Dobrushin, R. L.; Martirosyan, M. R.
6
1988
Phase diagrams for continuous-spin models: an extension of the Pirogov- Sinai theory. Zbl 0611.58025
Dobrushin, R. L.; Zahradník, M.
6
1986
Block synchronization, sliding-block coding, invulnerable sources and zero error codes for discrete noisy channels. Zbl 0453.94010
Gray, R. M.; Ornstein, D. S.; Dobrushin, R. L.
6
1980
Asymptotic analysis of a starlike network with large number of radial rays and message switching. Zbl 0377.60079
Dobrushin, R. L.; Sukhov, Yu. M.
6
1976
Strong convexity of pressure for lattice systems of classical statistical physics. Zbl 0311.60063
Dobrushin, R. L.; Nakhapetyan, B. S.
6
1974
Investigation of conditions for the asymptotic existence of the configuration integral of Gibb’s distribution. Zbl 0168.23804
Dobrushin, R. L.
6
1965
On the problem of the mathematical foundation of the Gibbs postulate in classical statistical mechanics. Zbl 0439.70016
Dobrushin, R. L.; Sukhov, Y. M.
5
1978
Construction of a one-dimensional quantum field by means of a continuous Markov field. Zbl 0294.60081
Dobrushin, R. L.; Minlos, R. A.
5
1974
Generalization of Kolmogorov’s equations for Markov processes with a finite number of possible states. Zbl 0052.36304
Dobrushin, R. L.
5
1953
Completely analytic interactions with infinite values. Zbl 0694.60095
Dobrushin, R. L.; Warstat, V.
4
1990
Dynamical systems of statistical mechanics and kinetic equations. Zbl 0781.58037
Dobrushin, R. L.; Sinai, Ya. G.; Sukhov, Yu. M.; Maslova, N. B.
4
1985
On the lower bound for the redundancy of selfcorrecting schemes with unreliable functional elements. Zbl 0364.94047
Dobrushin, R. L.; Ortyukov, S. I.
4
1977
Survey of Soviet research in information theory. Zbl 0242.94001
Dobrushin, R. L.
4
1972
The description of the random field by its conditional distributions and its regularity conditions. Zbl 0177.45202
Dobrushin, R. L.
4
1968
Properties of sample functions of stationary Gaussian processes. Zbl 0147.16002
Dobrushin, R. L.
4
1960
General statement of Shannon’s main theorem in the information theory. Zbl 0092.34003
Dobrushin, R. L.
4
1959
A simplified method of experimentally evaluating the entropy of a stationary sequence. Zbl 0094.12401
Dobrushin, R. L.
4
1958
Ein Lemma über den Grenzwert einer zusammengesetzten Zufallsfunktion. Zbl 0067.10704
Dobrushin, R. L.
4
1955
Large deviations for random processes with independent increments on infinite intervals. Zbl 0935.60073
Dobrushin, R. L.; Pecherskij, E. A.
3
1998
Large deviations for random processes with independent increments on infinite intervals. Zbl 0923.60033
Dobrushin, R. L.; Pechersky, E. A.
3
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
Dobrushin, R. (ed.); Groeneboom, P. (ed.); Leoux, M. (ed.)
3
1996
Thermodynamic inequalities for the surface tension and the geometry of the Wulff construction. Zbl 0786.52006
Dobrushin, R. L.; Shlosman, S. B.
3
1992
A. N. Kolmogorov - the founder of the theory of reversible Markov processes. Zbl 0717.60001
Dobrushin, R. L.; Sukhov, Yu. M.; Fritz, J.
3
1988
The moments and polynomials of a generalized random field. Zbl 0422.60044
Dobrushin, R. L.; Minlos, R. A.
3
1979
On the innovation problem for Gaussian Markov random fields. Zbl 0393.60053
Dobrushin, R. L.; Surgailis, D.
3
1979
Gibbs states in lattice models with two-step interaction. Zbl 0351.60089
Gertsik, V. M.; Dobrushin, R. L.
3
1974
Gibbsian random fields for particles without hard core. Zbl 1182.82002
Dobrushin, R. L.
3
1970
Information transmission with additional noise. Zbl 0221.94030
Dobrushin, R. L.; Tsybakov, B. S.
3
1962
Passage to the limit under the information and entropy signs. Zbl 0106.11701
Dobrushin, R. L.
3
1961
Eine allgemeine Formulierung des Fundamentalsatzes von Shannon in der Informationstheorie. Zbl 0102.12802
Dobrushin, R. L.
3
1959
Transmission of information in channels with feedback. Zbl 0094.12402
Dobrushin, R. L.
3
1958
The continuity condition for sample martingale functions. Zbl 0082.34203
Dobrushin, R. L.
3
1958
Contemporary mathematical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Zbl 0845.00041
Dobrushin, R. L. (ed.); Minlos, R. A. (ed.); Shubin, M. A. (ed.); Vershik, A. M. (ed.)
2
1996
Droplet condensation in the Ising model: Moderate deviations point of view. Zbl 0832.60032
Dobrushin, Roland L.; Shlosman, Senya B.
2
1994
Caricatures of hydrodynamics. Zbl 0725.76005
Dobrushin, R. L.
2
1989
A new approach to the analysis of Gibbs perturbations of Gaussian fields. Zbl 0674.60092
Dobrushin, R. L.
2
1988
A. N. Kolmogorov - the founder of the theory of inverse Markov processes. Zbl 0669.60001
Dobrushin, R. L.; Sukhov, Yu. M.; Fritz, J.
2
1988
On the asymptotic behavior of some self-similar random fields. Zbl 0505.60063
Dobrushin, R. L.; Major, P.
2
1981
Time asymptotics for some degenerate models of evolution of systems with an infinite number of particles. Zbl 0462.60097
Dobrushin, R. L.; Sukhov, Yu. M.
2
1981
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.
2
1979
Die Vlasovschen Gleichungen. Zbl 0405.35069
Dobrushin, R. L.
2
1979
Polynomials of generalized random field and its moments. Zbl 0405.60054
Dobrushin, R. L.; Minlos, R. A.
2
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
Dobrushin, R. L. (ed.); Kryukov, V. I. (ed.); Toom, A. L. (ed.)
2
1978
Conditions for the absence of phase transitions in one-dimensional classical systems. Zbl 0307.60081
Dobrushin, R. L.
2
1975
Unified methods for transmission of information for discrete channels without memory and messages with independent components. Zbl 0124.11306
Dobrushin, R. L.
2
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 0116.10202
Dobrushin, R. L.
2
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 0116.35105
Dobrushin, R. L.
2
1961
Limit theorems for a Markov chain of two states. Zbl 0112.09904
Dobrushin, R. L.
2
1961
Limit approach under the signs of information and entropy. Zbl 0094.12302
Dobrushin, R. L.
2
1960
An example of a countable homogeneous Markoff process all states of which are instantaneous. Zbl 0078.32003
Dobrushin, R. L.
2
1957
A mathematical approach to foundations of statistical mechanics. Zbl 1039.82002
Dobrushin, Roland L.
1
1997
Topics in statistical and theoretical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Zbl 0853.00022
Dobrushin, R. L. (ed.); Minlos, R. A. (ed.); Shubin, M. A. (ed.); Vershik, A. M. (ed.)
1
1996
A microscopic justification of the Wulff construction. Zbl 1096.82501
Dobrushin, R. L.; Kotecký, R.; Shlosman, S. B.
1
1993
\(\epsilon\)-entropy of the Gibbs field. Zbl 0635.94001
Bassalygo, L. A.; Dobrushin, R. L.
1
1987
Stationary local additive functionals of Gaussian random fields. Zbl 0543.60061
Dobrushin, R. L.; Kel’bert, M. Ya.
1
1984
Local additive functionals of Gaussian random fields. Zbl 0537.60042
Dobrushin, R. L.; Kel’bert, M. Ya.
1
1984
The hydrodynamic limit for systems of particles with independent evolution. Zbl 0474.60084
Dobrushin, Roland L’vovic; Siegmund-Schultze, Rainer
1
1981
Multicomponent random systems. (Mnogokomponentnye sluchajnye sistemy). Zbl 0508.60083
Dobrushin, R. L. (ed.); Sinaj, Ya. G. (ed.)
1
1978
Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500
Bunimovich, 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 0918.60094
Dobrushin, R. L.; Shlosman, S. B.
9
1999
Large deviations for random processes with independent increments on infinite intervals. Zbl 0935.60073
Dobrushin, R. L.; Pecherskij, E. A.
3
1998
Fluctuations of the phase boundary in the 2D Ising ferromagnet. Zbl 0888.60083
Dobrushin, R.; Hryniv, O.
8
1997
Gibbsian description of ‘non-Gibbsian’ fields. Zbl 0921.60040
Dobrushin, R. L.; Shlosman, S. B.
6
1997
A mathematical approach to foundations of statistical mechanics. Zbl 1039.82002
Dobrushin, Roland L.
1
1997
Queueing system with selection of the shortest of two queues: An asymptotic approach. Zbl 0898.60095
Vvedenskaya, N. D.; Dobrushin, R. L.; Karpelevich, F. I.
48
1996
Perturbation methods of the theory of Gibbsian fields. Zbl 0871.60086
Dobrushin, R. L.
15
1996
Estimates of semi-invariants for the Ising model at low temperatures. Zbl 0873.60074
Dobrushin, R. L.
13
1996
Fluctuations of shapes of large areas under paths of random walks. Zbl 0853.60057
Dobrushin, R.; Hryniv, O.
8
1996
Large deviations for random processes with independent increments on infinite intervals. Zbl 0923.60033
Dobrushin, R. L.; Pechersky, E. A.
3
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
Dobrushin, R. (ed.); Groeneboom, P. (ed.); Leoux, M. (ed.)
3
1996
Contemporary mathematical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Zbl 0845.00041
Dobrushin, R. L. (ed.); Minlos, R. A. (ed.); Shubin, M. A. (ed.); Vershik, A. M. (ed.)
2
1996
Topics in statistical and theoretical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Zbl 0853.00022
Dobrushin, R. L. (ed.); Minlos, R. A. (ed.); Shubin, M. A. (ed.); Vershik, A. M. (ed.)
1
1996
Process level large deviations for a class of piecewise homogeneous random walks. Zbl 0819.60029
Blinovskij, V. M.; Dobrushin, R. L.
8
1994
Large deviations for tandem queueing systems. Zbl 0823.90044
Dobrushin, Roland L.; Pechersky, Eugene A.
7
1994
Large and moderate deviations in the Ising model. Zbl 0815.60024
Dobrushin, Roland L.; Shlosman, Senya B.
7
1994
Droplet condensation in the Ising model: Moderate deviations point of view. Zbl 0832.60032
Dobrushin, Roland L.; Shlosman, Senya B.
2
1994
Statistical mechanics and fractals. Zbl 0787.60119
Dobrushin, Roland Lvovich; Kusuoka, Shigeo
17
1993
A microscopic justification of the Wulff construction. Zbl 1096.82501
Dobrushin, 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 0917.60103
Dobrushin, R.; Kotecký, R.; Shlosman, S.
81
1992
Thermodynamic inequalities for the surface tension and the geometry of the Wulff construction. Zbl 0786.52006
Dobrushin, R. L.; Shlosman, S. B.
3
1992
Completely analytic interactions with infinite values. Zbl 0694.60095
Dobrushin, R. L.; Warstat, V.
4
1990
Caricatures of hydrodynamics. Zbl 0725.76005
Dobrushin, R. L.
2
1989
One-dimensional harmonic lattice caricature of hydrodynamics: Second approximation. Zbl 1082.82505
Dobrushin, R. L.; Pellegrinotti, A.; Suhov, Yu. M.; Triolo, L.
7
1988
Nonfinite perturbations of Gibbs fields. Zbl 1268.60071
Dobrushin, R. L.; Martirosyan, M. R.
6
1988
A. N. Kolmogorov - the founder of the theory of reversible Markov processes. Zbl 0717.60001
Dobrushin, R. L.; Sukhov, Yu. M.; Fritz, J.
3
1988
A new approach to the analysis of Gibbs perturbations of Gaussian fields. Zbl 0674.60092
Dobrushin, R. L.
2
1988
A. N. Kolmogorov - the founder of the theory of inverse Markov processes. Zbl 0669.60001
Dobrushin, R. L.; Sukhov, Yu. M.; Fritz, J.
2
1988
Completely analytical interactions: Constructive description. Zbl 0683.60080
Dobrushin, R. L.; Shlosman, S. B.
62
1987
\(\epsilon\)-entropy of the Gibbs field. Zbl 0635.94001
Bassalygo, L. A.; Dobrushin, R. L.
1
1987
Uniqueness of a Gibbs field with random potential. An elementary approach. Zbl 0635.60107
Bassalygo, L. A.; Dobrushin, R. L.
12
1986
One-dimensional harmonic lattice caricature of hydrodynamics. Zbl 0629.76003
Dobrushin, R. L.; Pellegrinotti, A.; Sukhov, Yu. M.; Triolo, L.
10
1986
Phase diagrams for continuous-spin models: an extension of the Pirogov- Sinai theory. Zbl 0611.58025
Dobrushin, R. L.; Zahradník, M.
6
1986
Constructive criterion for the uniqueness of Gibbs field. Zbl 0569.46042
Dobrushin, R. L.; Shlosman, S. B.
52
1985
Completely analytical Gibbs fields. Zbl 0569.46043
Dobrushin, R. L.; Shlosman, S. B.
35
1985
The problem of translation invariance of Gibbs states at low temperatures. Zbl 0613.76010
Dobrushin, R. L.; Shlosman, S. B.
16
1985
Dynamical systems of statistical mechanics and kinetic equations. Zbl 0781.58037
Dobrushin, R. L.; Sinai, Ya. G.; Sukhov, Yu. M.; Maslova, N. B.
4
1985
Stationary local additive functionals of Gaussian random fields. Zbl 0543.60061
Dobrushin, R. L.; Kel’bert, M. Ya.
1
1984
Local additive functionals of Gaussian random fields. Zbl 0537.60042
Dobrushin, R. L.; Kel’bert, M. Ya.
1
1984
On the asymptotic behavior of some self-similar random fields. Zbl 0505.60063
Dobrushin, R. L.; Major, P.
2
1981
Time asymptotics for some degenerate models of evolution of systems with an infinite number of particles. Zbl 0462.60097
Dobrushin, R. L.; Sukhov, Yu. M.
2
1981
The hydrodynamic limit for systems of particles with independent evolution. Zbl 0474.60084
Dobrushin, Roland L’vovic; Siegmund-Schultze, Rainer
1
1981
Gaussian random fields. Gibbsian point of view. Zbl 0499.60046
Dobrushin, R. L.
11
1980
Automodel generalized random fields and their renorm-group. Zbl 0499.60047
Dobrushin, R. L.
10
1980
Block synchronization, sliding-block coding, invulnerable sources and zero error codes for discrete noisy channels. Zbl 0453.94010
Gray, R. M.; Ornstein, D. S.; Dobrushin, R. L.
6
1980
Non-central limit theorems for non-linear functionals of Gaussian fields. Zbl 0397.60034
Dobrushin, R. L.; Major, P.
269
1979
Vlasov equations. Zbl 0422.35068
Dobrushin, R. L.
112
1979
Gaussian and their subordinates self-similar random generalized fields. Zbl 0392.60039
Dobrushin, R. L.
84
1979
The moments and polynomials of a generalized random field. Zbl 0422.60044
Dobrushin, R. L.; Minlos, R. A.
3
1979
On the innovation problem for Gaussian Markov random fields. Zbl 0393.60053
Dobrushin, R. L.; Surgailis, D.
3
1979
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.
2
1979
Die Vlasovschen Gleichungen. Zbl 0405.35069
Dobrushin, R. L.
2
1979
On the problem of the mathematical foundation of the Gibbs postulate in classical statistical mechanics. Zbl 0439.70016
Dobrushin, R. L.; Sukhov, Y. M.
5
1978
Polynomials of generalized random field and its moments. Zbl 0405.60054
Dobrushin, R. L.; Minlos, R. A.
2
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
Dobrushin, R. L. (ed.); Kryukov, V. I. (ed.); Toom, A. L. (ed.)
2
1978
Multicomponent random systems. (Mnogokomponentnye sluchajnye sistemy). Zbl 0508.60083
Dobrushin, R. L. (ed.); Sinaj, Ya. G. (ed.)
1
1978
Non-equilibrium dynamcis of one-dimensional infinite particle systems with a hard-core interaction. Zbl 0987.82502
Dobrushin, R. L.; Fritz, J.
35
1977
The central limit theorem and the problem of equivalence of ensembles. Zbl 0391.60095
Dobrushin, R. L.; Tirozzi, Brunello
32
1977
Upper bound to redundency of self correcting schemes with unreliable functional elements. Zbl 0376.93052
Dobrushin, R. L.; Ortyukov, S. I.
11
1977
Polynomials in linear random functions. Zbl 0378.60024
Dobrushin, R. L.; Minlos, R. A.
10
1977
On the lower bound for the redundancy of selfcorrecting schemes with unreliable functional elements. Zbl 0364.94047
Dobrushin, R. L.; Ortyukov, S. I.
4
1977
Polynome von linearen zufälligen Funktionen. Zbl 0364.60055
Dobrushin, R. L.; Minlos, R. A.
1
1977
An investigation of the properties of generalized Gaussian random fields. Zbl 0502.60037
Dobrushin, R. L.; Minlos, R. A.
11
1976
Asymptotic analysis of a starlike network with large number of radial rays and message switching. Zbl 0377.60079
Dobrushin, R. L.; Sukhov, Yu. M.
6
1976
Strong convexity of the pressure for lattice systems of classical statistical physics. Zbl 0331.60066
Dobrushin, R. L.; Nakhapetyan, B. S.
7
1975
Conditions for the absence of phase transitions in one-dimensional classical systems. Zbl 0307.60081
Dobrushin, R. L.
2
1975
Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential. Zbl 0321.60086
Dobrushin, R. L.
1
1975
Coding theorems for classes of discrete memoryless arbitrary time-varying channels. Zbl 0316.94013
Dobrushin, R. L.; Stambler, S. Z.
1
1975
Strong convexity of pressure for lattice systems of classical statistical physics. Zbl 0311.60063
Dobrushin, R. L.; Nakhapetyan, B. S.
6
1974
Construction of a one-dimensional quantum field by means of a continuous Markov field. Zbl 0294.60081
Dobrushin, R. L.; Minlos, R. A.
5
1974
Gibbs states in lattice models with two-step interaction. Zbl 0351.60089
Gertsik, V. M.; Dobrushin, R. L.
3
1974
Investigation of Gibbsian states for three-dimensional lattice systems. Zbl 0293.60093
Dobrushin, R. L.
10
1973
Gibbs state describing coexistence of phases for a three-dimensional Ising model. Zbl 0275.60119
Dobrushin, R. L.
44
1972
Survey of Soviet research in information theory. Zbl 0242.94001
Dobrushin, R. L.
4
1972
Prescribing a system of random variables by conditional distributions. Zbl 0264.60037
Dobrushin, R. L.
163
1970
Gibbsian random fields for particles without hard core. Zbl 1183.82024
Dobrushin, R. L.
10
1970
Gibbsian random fields for particles without hard core. Zbl 1182.82002
Dobrushin, R. L.
3
1970
Gibbsian random fields. The general case. Zbl 0192.61801
Dobrushin, R. L.
15
1969
The memory increases the channel capacity. Zbl 0258.94012
Dobrushin, R. L.; Pinsker, M. S.
1
1969
The description of a random field by means of conditional probabilities and conditions of its regularity. Zbl 0184.40403
Dobrushin, R. L.
148
1968
The problem of uniqueness of a Gibbsian random field and the problem of phase transitions. Zbl 0192.61702
Dobrushin, R. L.
75
1968
Gibbsian random fields for lattice systems with pairwise interactions. Zbl 1183.82023
Dobrushin, R. L.
34
1968
The description of the random field by its conditional distributions and its regularity conditions. Zbl 0177.45202
Dobrushin, R. L.
4
1968
Existence of a phase transition in two-dimensional and three-dimensional Ising models. Zbl 0168.23803
Dobrushin, R. L.
17
1965
Investigation of conditions for the asymptotic existence of the configuration integral of Gibb’s distribution. Zbl 0168.23804
Dobrushin, R. L.
6
1965
General formulation of Shannon’s main theorem in information theory. Translated by E. Hewitt. Zbl 0132.39802
Dobrushin, R. L.
7
1963
Unified methods for transmission of information for discrete channels without memory and messages with independent components. Zbl 0124.11306
Dobrushin, R. L.
2
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 0116.10202
Dobrushin, R. L.
2
1963
Possibilities of applying limit theorems of probability theory to some problems of physics. Zbl 0226.60051
Dobrushin, R. L.; Minlos, R. A.
1
1963
Unified methods for the transmission of information: The general case. Zbl 0133.12303
Dobrushin, R. L.
1
1963
Asymptotic optimality of group and systematic codes for some channels. Zbl 0126.35802
Dobrushin, R. L.
1
1963
Application of limit theorems to some problems of theoretical physics. Zbl 0117.36204
Dobrushin, R. L.; Minlos, R. A.
1
1963
Information transmission with additional noise. Zbl 0221.94030
Dobrushin, R. L.; Tsybakov, B. S.
3
1962
Passage to the limit under the information and entropy signs. Zbl 0106.11701
Dobrushin, R. L.
3
1961
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 0116.35105
Dobrushin, R. L.
2
1961
Limit theorems for a Markov chain of two states. Zbl 0112.09904
Dobrushin, R. L.
2
1961
Mathematical problems in the Shannon theory of optimal coding of information. Zbl 0109.10801
Dobrushin, R. L.
1
1961
Properties of sample functions of stationary Gaussian processes. Zbl 0147.16002
Dobrushin, R. L.
4
1960
Limit approach under the signs of information and entropy. Zbl 0094.12302
Dobrushin, R. L.
2
1960
...and 12 more Documents
all top 5

Cited by 1,555 Authors

32 Leonenko, Nikolai N.
28 Taqqu, Murad S.
25 Surgailis, Donatas
20 Shlosman, Senya B.
20 Tudor, Ciprian A.
19 Kondrat’yev, Yuriĭ Grygorovych
19 Martinelli, Fabio
19 Olivieri, Enzo
17 Albeverio, Sergio A.
15 Lebowitz, Joel Louis
15 Marchioro, Carlo
15 Röckner, Michael
15 Zegarlinski, Boguslaw
14 Dobrushin, Roland Lvovich
14 Presutti, Errico
14 Ruiz-Medina, María Dolores
13 Bai, Shuyang
13 van Enter, Aernout C. D.
12 Anh, Vo V.
12 Bricmont, Jean
12 Cassandro, Marzio
12 Mukhamedov, Farruh Maksutovich
12 Pulvirenti, Mario
11 Olenko, Andriy Yakovych
11 Pasurek, Tatiana
10 Biskup, Marek
10 Fernández, Roberto
10 Nourdin, Ivan
10 Sly, Allan
9 Buttà, Paolo
9 Carrillo de la Plata, José Antonio
9 Kotecký, Roman
9 Kozitsky, Yuri V.
9 Suhov, Yurii Mikhailovich
8 Accardi, Luigi
8 Borgs, Christian
8 Fritz, Jochen
8 Giraitis, Liudas
8 Ho, Hwai-Chung
8 Høegh-Krohn, Raphael J.
8 Janžura, Martin
8 Lubetzky, Eyal
8 Maejima, Makoto
8 Maes, Christian
8 Miracle-Sole, Salvador
8 Procacci, Aldo
8 Wang, Xuejun
7 Beran, Jan
7 Gallavotti, Giovanni M.
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 Choi, Young-Pil
6 Fröhlich, Jürg Martin
6 Hu, Shuhe
6 Mielniczuk, Jan
6 Paul, Thierry
6 Picco, Pierre
6 Ruelle, David Pierre
6 Spohn, Herbert
6 Wang, Lihong
5 Bodineau, Thierry
5 Campanino, Massimo
5 Chayes, Jennifer Tour
5 Doukhan, Paul
5 Gamarnik, David
5 Ghosh, Sucharita
5 Golse, François
5 Kelbert, Mark Ya.
5 Klein, Abel
5 Künsch, Hans Rudolf
5 Kupiainen, Antti
5 Löcherbach, Eva
5 Luczak, Malwina J.
5 Major, Peter
5 Menz, Georg
5 Rachev, Svetlozar T.
5 Robinson, Peter Michael
5 Rozikov, Utkir A.
5 Schonmann, Roberto Henrique
5 Shaposhnikov, Stanislav V.
5 Velenik, Yvan
5 Yan, Litan
5 Zessin, Hans N.
4 Alexander, Kenneth S.
4 Baccelli, François Louis
4 Bertini, Lorenzo Bertini
4 Bogachev, Vladimir Igorevich
4 Bradley, Richard C. jun.
4 Caglioti, Emanuele
...and 1,455 more Authors
all top 5

Cited in 277 Serials

177 Journal of Statistical Physics
143 Communications in Mathematical Physics
78 Stochastic Processes and their Applications
46 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
45 Probability Theory and Related Fields
41 The Annals of Probability
31 The Annals of Applied Probability
30 Statistics & Probability Letters
29 Journal of Mathematical Physics
27 Lithuanian Mathematical Journal
23 Journal of Functional Analysis
19 Bernoulli
17 Journal of Statistical Planning and Inference
17 Journal of Theoretical Probability
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 Archive for Rational Mechanics and Analysis
15 Journal of Multivariate Analysis
13 Ukrainian Mathematical Journal
13 Journal of Mathematical Sciences (New York)
12 Stochastic Analysis and Applications
12 Queueing Systems
11 Advances in Applied Probability
11 Journal of Mathematical Analysis and Applications
11 Transactions of the American Mathematical Society
10 The Annals of Statistics
10 Journal of Soviet Mathematics
9 Problems of Information Transmission
9 Reviews in Mathematical Physics
9 Kybernetika
9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
8 Reports on Mathematical Physics
8 Functional Analysis and its Applications
8 Journal of Applied Probability
7 Journal of Time Series Analysis
7 Random Structures & Algorithms
7 Infinite Dimensional Analysis, Quantum Probability and Related Topics
6 Mathematical Notes
6 Statistical Inference for Stochastic Processes
6 Stochastics and Dynamics
5 Letters in Mathematical Physics
5 Theoretical and Mathematical Physics
5 Advances in Mathematics
5 Journal of Computer and System Sciences
5 Statistics
5 Communications in Statistics. Theory and Methods
5 Annales de l’Institut Henri Poincaré. Physique Théorique
5 Theory of Probability and Mathematical Statistics
5 Electronic Journal of Probability
5 Journal of the Korean Statistical Society
5 Journal of Physics A: Mathematical and Theoretical
4 Computers & Mathematics with Applications
4 Inventiones Mathematicae
4 Journal of Econometrics
4 Siberian Mathematical Journal
4 Advances in Applied Mathematics
4 Acta Applicandae Mathematicae
4 Discrete and Continuous Dynamical Systems
4 Doklady Mathematics
4 Journal of Inequalities and Applications
4 Econometric Theory
4 Journal of Statistical Mechanics: Theory and Experiment
4 Stochastic Systems
3 Israel Journal of Mathematics
3 Theory of Probability and its Applications
3 Journal of Differential Equations
3 Monatshefte für Mathematik
3 Proceedings of the American Mathematical Society
3 Theoretical Computer Science
3 Ergodic Theory and Dynamical Systems
3 Physica D
3 SIAM Journal on Discrete Mathematics
3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Linear Algebra and its Applications
3 SIAM Journal on Mathematical Analysis
3 Bulletin of the American Mathematical Society. New Series
3 Potential Analysis
3 Combinatorics, Probability and Computing
3 Mathematical Physics, Analysis and Geometry
3 Methodology and Computing in Applied Probability
3 Annales Henri Poincaré
3 Brazilian Journal of Probability and Statistics
3 Stochastic Models
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Mediterranean Journal of Mathematics
3 Electronic Journal of Statistics
3 Advances in Mathematical Physics
3 Probability Surveys
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 SIAM/ASA Journal on Uncertainty Quantification
3 Prikladnaya Diskretnaya Matematika
2 International Journal of Modern Physics B
2 Communications on Pure and Applied Mathematics
2 Discrete Mathematics
2 International Journal of Theoretical Physics
2 Journal of Computational Physics
2 Mathematical Methods in the Applied Sciences
2 Periodica Mathematica Hungarica
2 Physica A
...and 177 more Serials
all top 5

Cited in 51 Fields

907 Probability theory and stochastic processes (60-XX)
547 Statistical mechanics, structure of matter (82-XX)
169 Statistics (62-XX)
115 Partial differential equations (35-XX)
83 Quantum theory (81-XX)
69 Dynamical systems and ergodic theory (37-XX)
59 Computer science (68-XX)
50 Operations research, mathematical programming (90-XX)
45 Combinatorics (05-XX)
45 Fluid mechanics (76-XX)
42 Information and communication theory, circuits (94-XX)
41 Measure and integration (28-XX)
39 Functional analysis (46-XX)
37 Numerical analysis (65-XX)
35 Biology and other natural sciences (92-XX)
33 Operator theory (47-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Systems theory; control (93-XX)
16 Mechanics of particles and systems (70-XX)
15 Ordinary differential equations (34-XX)
15 Global analysis, analysis on manifolds (58-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
10 Convex and discrete geometry (52-XX)
8 Real functions (26-XX)
8 Potential theory (31-XX)
7 Number theory (11-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Differential geometry (53-XX)
6 General topology (54-XX)
6 Mechanics of deformable solids (74-XX)
5 Special functions (33-XX)
5 Integral transforms, operational calculus (44-XX)
5 Integral equations (45-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 Difference and functional equations (39-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 Approximations and expansions (41-XX)
2 Classical thermodynamics, heat transfer (80-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 Geophysics (86-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.