Dobrushin.org

List of Dobrushin's papers

N Article FileSize
1 Regularity conditions for Markov processes with countably many states
Uspehi mat. Nauk, 7 (1952), N6, 185-191		 ps235Kb
2 Kolmogorov equations for finite states Markov processes
Matem. Sbornik, 33 (1953), N3, 567-596		 pdf970Kb
3 Limit theorem for the two-state Markov chain
Izvestija AN SSSR, Ser. Mat., 17 (1953), N4, 291-330		 n/a
4 Regularity conditions for Markov processes with finitely many states
Matem. Sbornik, 34 (1954), N3, 541-556		 pdf655Kb
5 A limit lemma on the composition of random functions
Uspehi mat. Nauk, 10 (1955), N2, 157-159		 ps172Kb
6 Two limit theorems for a simple random walk on a line
Uspehi mat. Nauk, 10 (1955), N3, 139-146		 ps250Kb
7 Central limit theorem for non-stationary Markov chains
Doklady AN SSSR, 102 (1955), N1, 5-8		 ps225Kb
8 Conditions of the central limit theorem for non-stationary Markov chains
Doklady AN SSSR, 108 (1956), N6, 1004-1006		 pdf738Kb
9 Central limit theorem for non-stationary Markov chains, I
Teor. Veroyatnost. i Primenen. 1 (1956), N1, 72-89		 pdf1,2Mb
10 Central limit theorem for non-stationary Markov chains, II
Teor. Veroyatnost. i Primenen. 1 (1956), N4, 365-425		 pdf2,9Mb
11 An example of a countable homogeneous Markov process all states of which are instantaneous
Teor. Veroyatnost. i Primenen. 1 (1956), N4, 481-485		 ps217Kb
12 Poisson law for particle distribution in space
Ukraina mat. Zhur., 8 (1956), N2, 127-134		 ps267Kb
13 Translator appendix to Doob's "Random processes" (with A.M. Yaglom)
(1956), 576-688 		n/a
14 Some classes of homogeneous countable Markov processes
Teor. Veroyatnost. i Primenen., 2 (1957), N3, 377-380		 ps251Kb
15 Statistical problem of signal recognition in a many-channel system. The appearance of stable distributions
Teor. Veroyatnost. i Primenen. 3 (1958), N2, 173-185		 pdf1,75Mb
16 Information transmission by channel with a feedback
Teor. Veroyatnost. i Primenen. 3 (1958), N4, 395-412		 pdf1,75Mb
17 A simplified method for experimental estimate of the entropy of a stationary sequence
Teor. Veroyatnost. i Primenen. 3 (1958), N4, 462-464		 pdf1,1Mb
18 The continuity condition of the martingale sample function
Teor. Veroyatnost. i Primenen. 3 (1958), N1, 97-98 		pdf365Kb
19 The general formulation of the Shannon theorem in the information theory
Doklady AN SSSR, 126 (1959), N3, 474-477 		ps208Kb
20 The general formulation of the Shannon theorem in the information theory
Uspehi mat. Nauk, 14 (1959), N6, 3-104 		pdf11Mb
21 The optimal information transmission over the channel with unknown parameters
Radiotehnika i elektronika, 4 (1959), N12, 1951-1956 		pdf1,2Mb
22 Taking the limit of the argument of entropy and information functions
Teor. Veroyatnost. i Primenen. 5 (1960), N1, 29-37 		pdf578Kb
23 The properties of the realizations of the stationary Gaussian process
Teor. Veroyatnost. i Primenen. 5 (1960), N1, 132-134 		pdf211Kb
24 The asymptotic of the error probability in the memoryless channel with symmetric transition matrix.
Doklady AN SSSR, 133 (1960), N2, 265-268 		pdf698Kb
25 The approximate computation of the radio channels with random parameters (with Ya.Hurgin, B.Tsybakov)
Proceedings of the USSR meeting on prob. theory, Yerevan, 1958. AN Arm SSR, (1960), 164-171 		n/a
26 Information theory and linguistics (with A. Yaglom, I. Yaglom)
Voprosy yazykoznanija, 9 (1960), N1, 100-110 		ps360Kb
27 Mathematical methods in linguistics
Matematicheskoe prosveschenie, 6 (1961), 37-60 		ps396Kb
28 Mathematical problems of the Shannon theory of optimal coding
Problems of information transmission, 10 (1961), 63-107 		n/a
29 Optimal binary codes for low rate information transmission
Teor. Veroyatnost. i Primenen. 7 (1962), N2, 208-213 		pdf1,2Mb
30 Asymptotic estimates of the error probabilities in the memoryless channel with symmetric transition matrix
Teor. Veroyatnost. i Primenen. 7 (1962), N3, 283-311 		pdf4,7Mb
31 Asymptotic estimates of the error probabilities in the memoryless channel with feedback
Problemy kibernetiki, 3 (1962), 161-168 		n/a
32 Information Transmission with Additional Noise (with B. Tsybakov)
IEEE Trans. Inform.Theory. 8 (1962), N5, 293-304 		n/a
33 Asymptotic optimality of group codes for some channels
Teor. Veroyatnost. i Primenen. 8 (1963), N1, 52-66 		n/a
34 Unified information transmission procedures for memoryless channels and for messages with independent components
Doklady AN SSSR, 148 (1963), N6, 1245-1248 		n/a
35 Unified information transmission procedures - the general case
Doklady AN SSSR, 149 (1963), N1, 16-19 		n/a
36 The use of the entropy concept for detecting the signal over the noise background (with M.Pinsker and A. Shirjaev)
Litovskij mat. sbornik, 3 (1963), N1, 107-122 		n/a
37 The application of limit theorems to some problems of physics (with R. Minlos)
Limit theorems of probability theory, Tashkent, 1963, 15-37 		pdf3,1Mb
38 Matematyczne metody w lingwistyce
Roczniki polskiego towarzystwa matematycznego. Seia II: wiadomosci matematyczne VI (1963), 217-242 		pdf4,8Mb
39 On sequential decoding using Vosenkraft-Reiffen method
Problemy kibernetiki, 12 (1964), 113-123 		n/a
40 The existence conditions of the configuration integral of the Gibbs distribution
Teor. Veroyatnost. i Primenen., 9 (1964), N4, 626-643 		pdf3,1Mb
41 The methods of probability theory in statistical physics
Proceedings of the Winter school of probability theory in Uzhgorod, 1964. 221-263 		n/a
42 Existence of a phase transition in the two-dimensional and three-dimensional Ising models
Dokl. Akad. Nauk SSSR 160 1046--1048 (Russian); translated as Soviet Physics Dokl. 10 (1965) 111-113 		pdf604Kb
43 Existence of a phase transition in the two-dimensional and three-dimensional Ising models
Teor. Veroyatnost. i Primenen. 10 (1965), N2, 209-230 		n/a
44 Existence of phase transitions in models of a lattice gas
Proc. Fifth Berkeley Sympos. Math. Statist. and Prob. Univ. of Calif. Press. 3 (1966), 73-87 		pdf2,5Mb
45 The theory of the optimal information coding
Kibernetiku - na sluzhbu kommunizmu, 3 (1966), 13-45 		n/a
46 The existence and the continuity of the pressure in the classical statistical physics (with R. Minlos)
Teor. Veroyatnost. i Primenen. 12 (1967), N4, 595-618 		pdf3,4Mb
47 Shannon's theorems for channels with synchronization errors
Problemy Peredachi Informacii, 3 vyp. 4 18-36 (Russian); translated as Problems of Information Transmission, 3 1967 no. 4, 11-26 (1969) 		n/a
48 The description of a random field by the conditional distributions and its regularity
Teor. Veroyatnost. i Primenen. 13 (1968), N2, 201-229 		n/a
49 Gibbsian random fields for lattice systems with pair interaction
Funct. Anal. and Appl., 2 (1968), N4, 31-43 		pdf761Kb
50 The problem of uniqueness of a Gibbs random fields and the problem of phase transition
Func. anal. and appl., 2, p. 302-312, 1968 		pdf790Kb
51 Computer computation of the capacity of the channel with lost symbols (with N. Vvedenskaya)
Problems of information transmission, 4 (1968), N3, 92-95 		n/a
52 Gibbs random fields. General case
Func. anal. and appl. 3 (1969), N1, 27-35 		pdf1,3Mb
53 Markov processes on infinite products (with N. Vasiliev, I. Pjatecky-Shapiro)
Proc. Of Soviet-Japan symposium, Khabarovks. 1969, 3-30 		n/a
54 The memory increases the capacity (with M. Pinsker)
Problems of information transmission, 54, 5(1969), N1, 94-95 		n/a
55 Gibbs random fields without hard cores
Theoretical and Math. Physics, 4 (1970), N1, 101-118 		pdf980Kb
56 Prescribing a system of random variables by conditional distributions
Theory. Probab. Appl., 15 (1970), pp. 458-486 		n/a
57 Unified ways of optimal message quantizing
Problemy kibernetiki, 22 (1970), 107-156 		n/a
58 Multicomponent Markov processes with local interaction - the existence and ergodicity of the limit process
Problems of information transmission, 7 (1971), N2, 70-87 		n/a
59 Multicomponent Markov processes with local interaction - the invertible case and some generalizations
Problems of information transmission, 7 (1971), N3, 57-66 		pdf2,1Mb
60 A review of recent results in statistical mechanics (with R. Minlos, Yu. Sukhov)
The appendix to the Russian translation of D. Ruelle's book: Statistical mechanics. Rigorous results. 1971. 314-361 		n/a
61 The asymptotic dependence of Gibbs distributions on the shape of the volume
Theoretical and Math. Physics, 12 (1972), N1, 115-134 		pdf915Kb
62 Gibbs states describing a coexistence of phases for the three-dimensional Ising model
Th. Prob. and its Appl., 17, 582-600, 1972 		pdf3,9Mb
63 The complexity of implementation of the asymptotically optimal codes by the schemes of constant depth (with S. Gelfand)
Problemy upravlenija i teorii informacii, 1 (1972), N3-4, 197-215 		pdf3,9Mb
64 Survey of Soviet Research in Information Theory
IEEE Trans. Inform.Theory. 18 (1972), N6. 703-724 		n/a
65 The study of the Gibbs states of the three-dimensional lattice systems
Teor. Veroyatnost. i Primenen. 18 (1973), N2, 261-279 		n/a
66 Analyticity of correlation functions in one-dimensional classical systems with slowly decreasing potentials
Comm. Math. Phys. 32 (1973), N4, 269-289 		pdf1,5Mb
67 The construction of a one-dimensional quantum field via continuous Markov field (with R. Minlos)
Func. anal. and appl. 7 (1973), N4, 81-82 		pdf436Kb
68 Mathematical linguistics
Izvestija AN SSSR, 32 (1973), N5, 438-441 		n/a
69 On the complexity of coding. Proc.2nd Int. Sympos (with S. Gelfand, M. Pinsker)
Izvestija AN SSSR, 32 (1973), N5, 438-441 		n/a
70 Continuous multicomponent Markov processes with local interaction and their applications
Proceedings of the USSR school on infinite-dimensional differential equations, Dilizhan, 1973. AN ArmSSR, 131-159, 1974. 		n/a
71 The conditions of absence of phase transitions in one-dimensional classical systems
Matem. Sbornik, 93 (1974), N1, 29-49 		n/a
72 Analyticity of the correlation functions in one-dimensional classical systems with power law interactions
Matem. Sbornik, 94 (1974), N1, 16-48 		pdf5,2Mb
73 Gibbs states of the lattice model with next neighbor interaction (with V. Gertcik)
Funct. Anal. and Appl. 8 (1974), N3, 12-25 		pdf2,4Mb
74 Strong convexity of the pressure for classical lattice models (with B. Nakhapetjan)
Teoret. Mat. Fiz. 20 (1974), N2, 223-234 		pdf1,9Mb
75 Absence of Breakdown of Continuous Symmetry in Two-Dimensional Models of Statistical Physics (with S. Shlosman)
Comm. Math. Phys. 42 (1975), N1, 31-40 		pdf873Kb
76 Coding theorems for the time-dependent memoryless channels (with S. Stambler)
Problemy Peredachi Informatsii 11 (1975), N2, 3-22 		n/a
77 Factor-measures on measurable spaces (with R. Minlos)
Proceedings of the Moscow Math. Society, MGU, 32 (1975), 77-92 		pdf873Kb
78 Theory of random fields (with S. Pirogov)
Proceedings of the IEEE-USSR Joint Workshop on Information Theory (Moscow, 1975), Inst. Electr. Electron. Engrs., New York, 1976, 39--49 		n/a
79 Properties of the generalized Gaussian random fields (with R. Minlos)
Problems of mechanics and mathematical physics, Moscow, NAUKA, 1976, 117-165 		n/a
80 The asymptotic properties of the star-like message networks with many rays (with Yu. Sukhov)
Problemy Peredachi Informatsii 12 (1976), N1, 70-94 		n/a
81 The theory of Markov random fields and its application to quanum field theory (with R. Minlos). Functional and probabilistic methods in quantum field theory. Vol.I (XII-th winter school of theoretical physics in Karpacz, february 1975)
Wroclaw 1976, Wydawnictwa Universytetu Wroclawskiego, 21-50 		n/a
82 The theory of information transmission (with B. Tsybakov)
Vestnik AN SSSR, 6 (1976), 76-81 		pdf1,5Mb
83 The central limit theorem and the problem of equivalence of ensembles (with B. Tirozzi)
Comm. Math. Phys. 54 (1977), N2, 173-192 		pdf1,85Mb
84 Nonequilibrium dynamics of one-dimensional infinite particle systems with a hard-core interaction (with J. Fritz)
Comm. Math. Phys. 55 (1977), N3,. P.275-292 		pdf1,87Mb
85 Nonequilibrium dynamics of two-dimensional infinite particle systems with a singular interaction (with J. Fritz)
Comm. Math. Phys. 57 (1977), N1, 67-81 		pdf1,25Mb
86 Polynoms of linear random functions (with R. Minlos)
Uspekhi mat. nauk, 32 (1977), N2, 67-122 		n/a
87 A lower bound on the redundancy of the self-correcting schemes built on unreliable elements (with S. Ortjukov)
Problemy Peredachi Informatsii 13 (1977), N1, 82-89 		pdf1,5Mb
88 An upper bound on the redundancy of the self-correcting schemes built on unreliable elements (with S. Ortjukov)
Problemy Peredachi Informatsii 13 (1977),N3, 56-76 		pdf3,6Mb
89 On the problem of the mathematical foundation of the Gibbs postulate in classical statistical mechanics (with Yu. Sukhov). Mathematical problems in theoretical physics (Proc. Internat. Conf., Univ. Rome, Rome, 1977)
Lecture Notes in Physics. 80 (1978). Berlin -Heidelberg - New York: Springer-Verlag, 325-340 		n/a
90 Self-similarity and the renormalization group of the generalized random fields. Multicomponent random systems
NAUKA, 1978. 179-213 		n/a
91 Non-existence of one- and two-dimensional Gibbs random fields with non-compact continuous symmetry group. Multicomponent random systems (with S. Shlosman)
NAUKA, 1978. 214-223 		n/a
92 Polynomials in a generalized random field and its moments (with R. Minlos, in Russian)
Teor. Veroyatnost. i Primenen. 23 (1978), no. 4, 715-730 		pdf2,9Mb
93 The theory of information transmission and its applications (with V. Siforov, S. Samojlenko, B. Tsybakov, S. Gelfand)
Kibernetiku na sluzhbu kommunizmu. 9 (1978), 28-57 		n/a
94 Gaussian and their Subordinated Self-Similar Random Generalized Fields
Ann. Prob. 7 (1979), N1, 1-28 		pdf2,4Mb
95 Non-Central Limit Theorems for Non-Linear Functionals of Gaussian Fields (with P. Major)
Z. Wahrsch. Verw. Gebiete 50 (1979), N1, 27-52 		pdf1Mb
96 Vlasov equation
Funktsional. Anal. i Prilozhen. 13 (1979), no. 2, 48-58, 96 		pdf730Kb
97 Asymptotic behavior for some degenerate models of the time evolution of systems with an infinite number of particles (with Yu. Sukhov, Russian)
Current problems in mathematics, Vol. 14, pp. 148-254, 256 (loose errata)
Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii, Moscow, 1979 		pdf5Mb
98 On the Innovation Problem for Gaussian Markov Random Fields (with D. Surgailis)
Z. Wahrsch. Verw. Gebiete 49 (1979), N3, 275-291 		pdf890Kb
99 Asymptotic approach to the investigation of message switching networks of linear structure with a large number of centers (with S. Prelov, in Russian)
Problems Inform. Transmission 15 (1979), no. 1, 61-73 		n/a
100 Local additive functionals of generalized Gaussian fields. (with M. Kelbert, in Russian)
Uspekhi Mat. Nauk 34 (1979), no. 5 (209), 223--224 		pdf450Kb
101 Gaussian random fields - Gibbsian point of view. Multicomponent random systems
Adv. Probab. Related Topics, 6, Dekker, New York, 1980, 119-152 		n/a
102 Automodel generalized random fields and their renorm group
Multicomponent random systems, Adv. Probab. Related Topics, 6, Dekker, New York, 1980, 153-198 		n/a
103 Nonexistence of one- and two-dimensional Gibbs fields with noncompact group of continuous symmetries (with S. Shlosman)
Multicomponent random systems, Adv. Probab. Related Topics, 6, Dekker, New York, 1980, 199-210 		n/a
104 Mathematical problems in statistical mechanics (with Ya. Sinai)
Mathematical physics reviews 1, Soviet Sci. Rev. Sect. C Math. Phys. Rev., 1, Harwood Academic Publ., Chur - New York, 1980, 55-106 		pdf7,26Mb
105 The hydrodynamics of hard rods (with C. Boldrigini, Yu. Suhkov)
Uspekhi mat. nauk, 35 (1980), N.5, 252-253 		n/a
106 Block synchronization, sliding-block coding, invulnerable sources and zero error codes for discrete noisy channels (with R. Gray, D. Ornstein)
Ann. Probab. 8 (1980), no. 4, 639-674 		pdf3,1Mb
107 Uniqueness conditions for finitely dependent random fields (with E. Pechersky)
Random fields, Vol. I, II (Esztergom, 1979), Colloq. Math. Soc. Janos Bolyai, 27, North-Holland, Amsterdam-New York, 1981, 223-261 		pdf3,1Mb
108 An Investigation of the Properties of Generalized Gaussian Random Fields (with R. Minlos)
Selecta Math. Soviet. 1 (1981), N3, 215-263 		pdf6,2Mb
109 Phases Corresponding to Minima of the Local Energy (with S. Shlosman)
Selecta Math. Soviet. 1 (1981), N4, 317-338 		pdf2,6Mb
110 On the asymptotic behavior of some self-similar random fields (with P. Mayor)
Selecta Math. Soviet. 1 (1981), no. 3, 265-291 		n/a
111 The Hydrodynamic Limit for Systems of Particles with Independent Evolution (with R. Siegmund-Schultze)
Math. Nachr. 105 (1982), N1, 199-224 		pdf
112 The hydrodynamic limit. Some caricatures
Interacting Markov processes and their applications in biology, Puschino, 1982. 7-20 		pdf
113 A criterion of the uniqueness of Gibbsian fields in the non-compact case (with E. Pechersky)
Probability theory and mathematical statistics (Tbilisi, 1982), Lecture Notes in Math., 1021, Springer, Berlin, 1983, 97-110 		n/a
114 One Dimensional Hard Rod Caricature of Hydrodynamics (with C. Boldrigini, Yu. Suhkov)
J. Stat. Phys. 31 (1983), no. 3, 577-615 		pdf4,2Mb
115 Local additive functionals of Gaussian random fields (with M. Kelbert, in Russian)
Teor. Veroyatnost. i Primenen. 28 (1983), no. 1, 32-44 		pdf2,7Mb
116 Stationary local additive functionals of Gaussian random fields (with M. Kelbert, in Russian)
Teor. Veroyatnost. i Primenen. 28 (1983), no. 3, 489-503 		pdf3Mb
117 Constructive criterion for the uniqueness of Gibbs field
6-th international symposium on Information theory, v. 3, Moscow-Tashkent, 1984, VINITI, 93-95 		n/a
118 Analyticity condition of Gibbs fields
Fifth International Summer School on Probability Theory and Mathematical Statistics (Varna, 1985), 7-27, Publ. House Bulgar. Acad. Sci., Sofia, 1988 		n/a
119 Constructive criterion for the uniqueness of Gibbs field (with S. Shlosman)
Statistical Physics and Dynamical systems. Rigorous Results. Progress in Physics, 10 (1985). Birkhauser Boston-Basel-Stuttgart, 347-370 		n/a
120 Completely analytical Gibbs fields (with S. Shlosman)
Statistical Physics and Dynamical systems. Rigorous Results. Progress in Physics, 10 (1985). Birkhauser Boston-Basel-Stuttgart, 371-404 		n/a
121 Phase Diagram of the Two-Dimensional Ising Antiferromagnet (Computer-assisted proof) (with J. Kolafa, S. Shlosman)
Comm. Math. Phys. 102 (1985), N1, 89-103 		pdf1,6Mb
122 Condition for linear regularity of vector random fields (with M. Avetisjan)
Problemy Peredachi Informatsii 21 (1985), no. 4, 76-82 		n/a
123 The problem of translation invariance of Gibbs states at low temperature (with S. Shlosman)
Mathematical physics reviews, 5, Soviet Sci. Rev. Sect. C Math. Phys. Rev., 5, Harwood Academic Publ., Chur, 1985, 53-195 		n/a
124 Dynamical systems of statistical mechanics (with Ya. Sinai, Yu. Suhkov)
Itogi nauki, VINITI, (1985), 235-284 		n/a
125 One-Dimensional Harmonic Lattice Caricature of Hydrodynamics (with A. Pellegrinotti, Yu. Sukhov, L. Triolo)
J.Stat.Phys. 38 (1985), N3/4, 473-507 		1,8Mb
126 Phase diagrams for continuous-spin models: an extension of the Pirogov-Sinai theory (with M. Zahradnik)
Mathematical problems of statistical mechanics and dynamics, Math. Appl. (Soviet Ser.), 6, Reidel, Dordrecht, 1986, 1-124 		n/a
127 Uniqueness of a Gibbs field with a random potential---an elementary approach (with L. Bassalygo, in Russian)
Teor. Veroyatnost. i Primenen. 31 (1986), no. 4, 651-670 		n/a
128 One-dimensional harmonic lattice caricature of hydrodynamics (with A. Pellegrinotti, Yu. Suhkov, L. Triolo)
J. Statist. Phys. 43 (1986), no. 3-4, 571-607 		pdf1,5Mb
129 Switching networks, Markov interaction processes, Gibbsian fields - interconnection
Proceedings of the 1st World Congress of the Bernoulli Society, Vol. 1 (Tashkent, 1986), 377-393, VNU Sci. Press, Utrecht, 1987 		n/a
130 The hydrodynamic limit. Some caricatures (Bulgarian, translated from the Russian by G. S. Chobanov)
Fiz.-Mat. Spis. Blgar. Akad. Nauk. 28(61) (1986), no. 3, 212-221 		n/a
131 Induction on volume and no cluster expansion
VIIIth international congress on mathematical physics (Marseille, 1986), World Sci. Publishing, Singapore, 1987, 73-91 		n/a
128 Completely Analytical Interactions: Constructive Description (with S. Shlosman)
J. Stat. Phys. 46 (1987) N 5/6, 983-1014 		pdf1,2Mb
133 Epsilon-entropy of a Gibbs field (with L. Bassalygo)
Problemy peredachi informacii, 23 (1987), N1, 3-15 		n/a
134 Information theory
Appendix to a book: Kolmogorov A. N. Information theory and algorithm theory. NAUKA, 254-257 		n/a
135 One-Dimensional Harmonic Lattice Caricature of Hydrodynamics: Second Approximation (with A. Pellegrinotti, Yu. Sukhov)
J.Stat.Phys. 52 (1987), N1/2, 423-439 		n/a
136 A New Approach to the Analysis of Gibbs Perturbations of Gaussian Fields
Selecta Math. Sov. 7 (1988), N3, 221-277 		pdf7,2Mb
137 Nonfinite perturbations of Gibbs fields (with M. Martirosyan)
In Russian: Teoret. Mat. Fiz. 74 (1988), no. 1, 16--28; translation in Theoret. and Math. Phys. 74 (1988), no. 1, 10-20 		pdf700Kb
138 The possibility of high-temperature phase transitions due to the many-particle character of the potential (with M. Martirosyan)
In Russian: Teoret. Mat. Fiz. 75 (1988), no. 2, 163--169; translation in Theoret. and Math. Phys. 75 (1988), no. 2, 443-448 		pdf440Kb
139 A.N.Kolmogorov - the founder of the theory of reversible Markov processes (with J. Fritz, Yu. Sukhov)
Uspekhi mat. nauk, 43 (1988), N6, 167-188; translation in Russian Math. Surveys 43 (1988), no. 6, 157-182 		n/a
140 One-dimensional harmonic lattice caricature of hydrodynamics: second approximation (with A. Pellegrinotti, Yu. Sukhov, L. Triolo)
J. Statist. Phys. 52 (1988), no. 1-2, 423-439 		pdf560Kb
141 Caricatures of hydrodynamics
Proc. IXth International Congress on Mathematical Physics (Swansea, 1988), Hilger, Bristol, 1989, 117-132 		n/a
142 Equilibrium crystal shapes - a microscopic proof of the Wulff construction (with R. Kotecky, S. Shlosman)
Stochastic methods in mathematics and physics (Karpacz, 1988), World Sci. Publishing, Teaneck, NJ, 1989, 221-229 		n/a
143 Qualitative methods of queueing network theory. Stochastic cellular systems: ergodicity, memory, morphogenesis (with M. Kelbert, A. Rybko, Yu. Suhkov)
Manchester: Univ. Press. 1990, 183-224 		n/a
144 One-Dimensional Harmonic Lattice Caricature of Hydrodynamics. The Higher Corrections (with A. Pellegrinotti, Yu. Sukhov)
J.Stat.Phys. 61 (1990), N1/2, 387-402 		pdf540Kb
145 Completely analytic interactions with infinite values (with V. Warstat)
Probab. Theory Related Fields 84 (1990), no.3, 335-359 		pdf3,5Mb
146 Higher order hydrodynamic equations for a system of independent random walks (with F. Sokolovsky)
Random walks, Brownian motion, and interacting particle systems. A Festschrift in Honor of Frank Spitzer, Progr. Probab., 28 (1991), Birkhauser Boston, Boston, MA, 231-254 		n/a
147 Wulff construction. A global shape from local interaction (with R. Kotecky, S. Shlosman)
(Translated from the Russian by the authors). Translations of Mathematical Monographs, 104, American Mathematical Society, Providence, RI, 1992. x+204 pp. 		pdf3,5Mb
148 Thermodynamic inequalities for the surface tension and the geometry of the Wulff construction (with S. Shlosman)
Ideas and methods in quantum and statistical physics (Oslo, 1988), Cambridge Univ. Press, Cambridge, 2 (1992), 461-483 		n/a
149 Large deviations behavior of statistical mechanics models in the multiphase regime (with S. Shlosman)
Proc.Conf.Math.Physics X (Leipzig 1991). Springer, Berlin, 1992. 328-333 		n/a
150 A formula of full semiinvariants
Cellular Automata and Cooperative Systems, ed. by N. Boccara, E.Goles, S. Martiner, P.Picco, NATO Adv.Sci.Inst.Ser.C Math.Phys.Sci., 396 (1993), Kluwer Acad. Publ., Dordrecht 135-140 		n/a
151 On the way to the mathematical foundations of statistical mechanics
Statistical mechanics and fractals. Lecture Notes in Mathematics, 1567. Springer-Verlag, Berlin, 1993, 1-37 		n/a
152 A statistical behavior of shapes of boundaries of phases
Proc. Workshop "Phase Transitions: Mathematics, Physics, Biology,…", Prague, June 1992, ed. by R. Kotecky, World Scientific, Singapore-…, 1993, 60-70 		n/a
153 A microscopic justification of the Wulff construction (with R. Kotecky, S. Shlosman)
Journal of Stat. Phys. 72(1993), no.1-2, 1-14 		pdf 516Kb
154 Fluctuations of Shapes of Large Areas Under Paths of Random Walks (with O.Hryniv)
Preprint ESI No.176 (1994), Vienna, 40pp 		pdf 4,35Mb
155 Large deviations for tandem queueing systems (with E.A.Pechersky)
Journal of Applied Mathematics and Stochastic Analysis, 7 (1994), no.3, 301-330 		pdf 4,35Mb
156 Estimates of Semiinvariants for the Ising Model at Low Temperatures
Preprint ESI 125 (1994), Vienna 		n/a
157 Large and Moderate Deviations in the Ising Model (with S. Shlosman)
Probability Contributions to Statistical Mechanics, R.L.Dobrushin ed., American Mathematical Society, Providence, 1994, 91-219 		pdf910Kb
158 On fluctuations of the phase boundaries in the 2D Ising ferromagnet (with O.Hryniv).
Preprint ESI No. 183 (1994), Vienna 		n/a
159 Process level large deviations for a class of piecewise homogeneous random walks (with V. Blinovsky)
The Dynkin Festschrift, Progr. Probab., 34 (1994), Birkhhauser Boston, Boston, MA, 1-59 		n/a
160 Droplet condensation in the Ising model: moderate deviations point of view (with S. Shlosman)
Probability and phase transition (Cambridge, 1993), NATO Adv.Sci.Inst.Ser.C Math.Phys.Sci., 420, Kluwer Acad. Publ., Dordrecht, 1994, 17-34 		n/a
161 On fluctuations of the Wulff form in the two-dimensional Ising model (with O.Hryniv, in Russian)
Uspekhi Mat. Nauk 50 (1995), no. 6(306), 177--178; translation in Russian Math. Surveys 50 (1995), no. 6, 1262-1264 		n/a
162 Fluctuations of shapes of large areas under paths of random walks (with O.Hryniv)
Probab. Theory Related Fields 105 (1996), no.4, 423-458 		pdf1,5 Mb
163 Estimates of semi-invariants for the Ising model at low temperatures
Topics in statistical and theoretical physics, Amer. Math. Soc. Transl. Ser.2, 177, Amer. Math. Soc., Providence, RI, 1996, 59-81 		n/a
162 A queuing system with a choice of the shorter of two queues: an asymptotic approach (with N. Vvedenskaya, F. Karpelevich, in Russian)
Problemy Peredachi Informatsii 32 (1996), no. 1, 20-34; translation in Problems Inform. Transmission 32 (1996), no. 1, 15-27 		pdf2,8 Mb
165 Perturbation methods of the theory of Gibbsian fields
Lectures on probability theory and statistics (Saint-Flour, 1994), Lecture Notes in Math. 1648, Springer, Berlin, 1996, 1-66 		n/a
166 Large deviations for random processes with independent increments on infinite intervals (with E. Pechersky)
Probability theory and mathematical statistics (St. Petersburg, 1993), Gordon and Breach, Amsterdam, 1996, 41-74 		n/a
167 Fluctuations of the phase boundary in the 2D Ising ferromagnet (with O.Hryniv)
Comm. Math. Phys. 189 (1997), no.2, 395-445 		pdf536Kb
168 Gibbsian description on "non-Gibbs" fields (with S. Shlosman)
Uspekhi mat. nauk, 52 (1997), N 2(314), 45--58; translation in Russian Math. Surveys 52 (1997), N 2, 285-297 		n/a
169 A mathematical approach to foundations of statistical mechanics
Boltzmann's legacy 150 years after his birth (Rome, 1994), Atti Covegni Lincei, 131, Accad. Naz. Lincei, Rome, 1997, 227-243 		n/a
170 Large deviations for random processes with independent increments on an infinite interval (with E. Pechersky, in Russian)
Problemy Peredachi Informatsii 34 (1998), no. 4, 76-108; translation in Problems Inform. Transmission 34 (1998), no. 4, 354-382 (1999) 		n/a
171 Non-Gibbsian states and their Gibbs description (with S. Shlosman)
Comm. Math. Phys. (1999) 200, 125-179 		pdf400Kb