Roland Dobrushin
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Russian mathematician
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Roland Dobrushinmathematics Degrees
Mathematics
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#3004
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Probability Theory
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Measure Theory
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#1807
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Mathematics
Why Is Roland Dobrushin Influential?
(Suggest an Edit or Addition)According to Wikipedia, Roland Lvovich Dobrushin was a mathematician who made important contributions to probability theory, mathematical physics, and information theory. Life and work Dobrushin received his Ph.D. at Moscow State University under the supervision of Andrey Kolmogorov.
Roland Dobrushin's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Non-central limit theorems for non-linear functional of Gaussian fields (1979) (646)
- Prescribing a System of Random Variables by Conditional Distributions (1970) (573)
- Queueing system with selection of the shortest of two queues: an assymptotic approach (1996) (360)
- Central Limit Theorem for Nonstationary Markov Chains. II (1956) (338)
- Wulff Construction: A Global Shape from Local Interaction (1992) (287)
- The problem of uniqueness of a gibbsian random field and the problem of phase transitions (1968) (275)
- Information transmission with additional noise (1962) (231)
- Gaussian and their Subordinated Self-similar Random Generalized Fields (1979) (218)
- Completely analytical interactions: Constructive description (1987) (198)
- Gibbsian random fields for lattice systems with pairwise interactions (1968) (197)
- Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model (1973) (170)
- Constructive Criterion for the Uniqueness of Gibbs Field (1985) (168)
- One-dimensional hard rod caricature of hydrodynamics (1983) (122)
- Completely Analytical Gibbs Fields (1985) (113)
- Absence of breakdown of continuous symmetry in two-dimensional models of statistical physics (1975) (110)
- Stochastic cellular systems : ergodicity, memory, morphogenesis (1990) (101)
- Existence of a Phase Transition in Two-Dimensional and Three-Dimensional Ising Models (1965) (98)
- Estimates of semiinvariants for the Ising model at low temperatures (1996) (89)
- Multicomponent Random Systems (1980) (84)
- The central limit theorem and the problem of equivalence of ensembles (1977) (80)
- Analyticity of correlation functions in one-dimensional classical systems with slowly decreasing potentials (1973) (80)
- Perturbation methods of the theory of Gibbsian fields (1996) (77)
- Non-equilibrium dynamics of one-dimensional infinite particle systems with a hard-core interaction (1977) (76)
- Non-equilibrium dynamics of two-dimensional infinite particle systems with a singular interaction (1977) (72)
- Gibbsian random fields. The general case (1969) (69)
- Mathematical Problems in the Shannon Theory of Optimal Coding of Information (1961) (64)
- Vlasov equations (1979) (57)
- Topics in Statistical and Theoretical Physics (1996) (53)
- Asymptotic Optimality of Group and Systematic Codes for Some Channels (1963) (53)
- Dynamical Systems of Statistical Mechanics (1989) (53)
- Large and Moderate Deviations in the Ising Model (1994) (53)
- “Non-Gibbsian” States and their Gibbs Description (1999) (50)
- Fluctuations of the Phase Boundary in the 2D Ising Ferromagnet (1997) (46)
- Information Transmission in a Channel with Feedback (1958) (45)
- One-dimensional harmonic lattice caricature of hydrodynamics (1986) (43)
- Addendum: Existence of a Phase Transition in the Two-Dimensional and Three-Dimensional Ising Models (1966) (39)
- Investigation of Conditions for the Asymptotic Existence of the Configuration Integral of Gibbs’ Distribution (1964) (39)
- Fluctuations of shapes of large areas under paths of random walks (1996) (39)
- LARGE DEVIATIONS FOR RANDOM PROCESSES WITH INDEPENDENT INCREMENTS ON INFINITE INTERVALS (1998) (37)
- A. N. Kolmogorov - the founder of the theory of reversible Markov processes (1988) (36)
- Phase diagram of the two-dimensional Ising antiferromagnet (computer-assisted proof) (1985) (36)
- On the problem of the mathematical foundation of the Gibbs postulate ie classical statistical mechanics (1978) (35)
- POLYNOMIALS IN LINEAR RANDOM FUNCTIONS (1977) (34)
- Gibbsian random fields for particles without hard core (1970) (34)
- Locally Interacting Systems and Their Application in Biology (1978) (33)
- Large deviations for tandem queueing systems (1994) (33)
- A Simplified Method of Experimentally Evaluating the Entropy of a Stationary Sequence (1958) (32)
- Phase Diagrams for Continuous-Spin Models: An Extension of the Pirogov—Sinai Theory (1986) (32)
- Process Level Large Deviations for a Class of Piecewise Homogeneous Random Walks (1994) (32)
- Statistical mechanics and fractals (1993) (29)
- Asymptotic Estimates of the Probability of Error for Transmission of Messages over a Discrete Memoryless Communication Channel with a Symmetric Transition Probability Matrix (1962) (28)
- Strong convexity of the pressure for lattice systems of classical statistical physics (1974) (28)
- Uniqueness of a Gibes Field with Random Potential—An Elementary Approach (1987) (28)
- Phases Corresponding to Minima of the Local Energy (1981) (27)
- A criterion of the uniqueness of gibbsian fields in the non-compact case (1983) (27)
- Construction of a one-dimensional quantum field by means of a continuous markov field (1973) (27)
- One-dimensional harmonic lattice caricature of hydrodynamics: Second approximation (1988) (24)
- Block Synchronization, Sliding-Block Coding, Invulnerable Sources and Zero Error Codes for Discrete Noisy Channels (1980) (23)
- Gibbsian description of `non-Gibbsian' fields (1997) (22)
- Existence of phase transitions in models of a lattice gas (1967) (20)
- Nonfinite perturbations of Gibbs fields (1988) (19)
- Possibility of high-temperature phase transitions due to the many-particle nature of the potential (1988) (17)
- Asymptotic behavior of Gibbsian distributions for lattice systems and its dependence on the form of the volume (1972) (17)
- Survey of Soviet research in information theory (1972) (17)
- Time asymptotics for some degenerate models of evolution of systems with an infinite number of particles (1981) (16)
- Passage to the Limit under the Information and Entropy Signs (1960) (15)
- A microscopic justification of the Wulff construction (1993) (14)
- One-dimensional harmonic lattice caricature of hydrodynamics: A higher correction (1990) (14)
- On the innovation problem for Gaussian Markov random fields (1979) (13)
- Probability contributions to statistical mechanics (1994) (11)
- Properties of Sample Functions of a Stationary Gaussian Process (1960) (10)
- Completely analytic interactions with infinite values (1990) (10)
- Mathematical Problems of Statistical Mechanics and Dyanamics (1986) (9)
- Contemporary Mathematical Physics (1996) (9)
- The Moments and Polynomials of a Generalized Random Field (1979) (8)
- Gibbs states in lattice models with two-step interaction (1974) (8)
- Contemporary mathematical physics : F.A. Berezin memorial volume (1996) (7)
- Droplet Condensation in the Ising Model: Moderate Deviations Point of View (1994) (7)
- Topics in statistical and theoretical physics : F.A. Berezin memorial volume (1996) (7)
- Higher Order Hydrodynamic Equations for a System of Independent Random Walks (1991) (6)
- Optimal Binary Codes for Small Rates of Transmission of Information (1962) (5)
- Large Deviation Behavior of Statistical Mechanics Models in the Multiphase Regime (1992) (5)
- The Continuity Condition for the Sample Functions of a Martingale (1958) (4)
- INFORMATION TRANSMISSION THEORY (1970) (4)
- On the way to the mathematical foundations of statistical mechanics (1993) (4)
- Local Additive Functionals of Gaussian Random Fields (1984) (3)
- Some Classes of Homogeneous Denumerable Markov Processes (1957) (3)
- A Formula of Full Semiinvariants (1993) (3)
- An Example of a Countable Homogeneous Markov Process All States of which are Transient (1956) (3)
- Evgenii Borisovich Dynkin (on his seventieth birthday) (1994) (2)
- Feliks Aleksandrovich Berezin (obituary) (1981) (1)
- Stationary Local Additive Functionals of Gaussian Random Fields (1984) (1)
- Kolmogorov remembered (1988) (1)
- Nikolai Nikolaevich Chentsov (obituary) (1993) (1)
- LOCALLY ADDITIVE FUNCTIONALS OF GAUSSIAN GENERALIZED FIELDS (1979) (1)
- On fluctuations of Wulff's shape in a two-dimensional Ising model (1995) (0)
- Roland Dobrushin Interview June 2, 1989 (1989) (0)
- Non-equilibrium dynamics of two-dimensional infinite particle systems with a singular interaction (1979) (0)
- Party at the home of Nikita Vvedenskaya September 16, 1989 (1989) (0)
- Roland Dobrushin Interview September 16, 1989 fragment (1989) (0)
- Mathematical problems of statistical mechanics and dynamics : a collection of surveys (1986) (0)
- Point fields from the Gibbsian point of view (1977) (0)
- ASYMPTOTIC ESTIMATES OF THE ERROR PROBABILITY FOR THE TRANSMISSION OF MESSAGES THROUGH A DISCRETE MEMORYLESS COMMUNICATION CHANNEL WITH A SYMMETRIC MATRIX OF TRANSACTION PROBABILITIES (1963) (0)
- A MICROSCOPIC JUSTIFICATION OF THE WULFF CONSTRUCTION R. L. Dobrushin, R. Kotecký, and S. B. Shlosman Institute for Problems of Information Transmission, Moscow and Charles University, Prague (2001) (0)
- Robert Adol'fovich Minlos (on his sixtieth birthday) (1992) (0)
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