RUS  ENG
Full version
JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

2000, Volume 228

| General information | Contents |


Problems of the modern mathematical physics


Collection of papers dedicated to the 90th anniversary of academician Nikolai Nikolaevich Bogolyubov

Nikolai Nikolaevich Bogolyubov (21.08.1909 – 13.02.1992)
Nikolai Nikolaevich Bogolyubov and Mathematics
V. S. Vladimirov
7
On Bogolyubov's Works in the Field of Nonlinear Mechanics
Yu. A. Mitropol'skii
17
On Bogolyubov's “Edge-of-the-Wedge” Theorem
A. A. Gonchar
24
Extended Future Tube Conjecture
A. G. Sergeev, Xian-Yu Zhou
32
Wiener-Type Tauberian Theorems for Generalized Functions on the Half-Axis
Yu. N. Drozhzhinov, B. I. Zavialov
52
On the Cohomologies of the Heisenberg Algebras
V. V. Zharinov
61
Adelic Formulas for Gamma and Beta Functions of One-Class Quadratic Fields: Applications to 4-Particle Scattering String Amplitudes
V. S. Vladimirov
76
Generalized Functions for Quantum Fields Obeying Quadratic Exchange Relations
H. Grosse, M. Oberguggenberger, I. T. Todorov
90
A Bosonization Algorithm for Lattice Computer Simulations in QCD with Dynamical Fermions
T. D. Bakeyev, A. A. Slavnov
101
Non-equilibrium Quantum Field Theory and Entangled Commutation Relations
L. Accardi, I. Ya. Aref'eva, I. V. Volovich
116
Relativistic Wigner Function and Nonlinear Representations of the Lorentz Group
O. I. Zavialov
136
Invariant Description of Local Symmetries
V. P. Pavlov
145
Conformal Theories, BRST Formalism and Representations of the Lie Superalgebras
A. V. Voronin, S. S. Horuzhy
155
Global Solutions in Gravity. Lorentzian Signature
M. O. Katanaev
168
From Averaging to Statistical Physics
V. I. Arnol'd
196
Asymptotic Time Evolution of a Partitioned Infinite Two-sided Isotropic $XY$-chain
T. G. Ho, H. Araki
203
The Information Manifold for Relatively Bounded Potentials
R. F. Streater
217
Simple Random Walks along Orbits of Anosov Diffeomorphisms
V. Y. Kaloshin, Ya. G. Sinai
236
The Complex-Germ Method for Statistical Mechanics of Model Systems
V. P. Maslov, O. Yu. Shvedov
246
The Hartree–Fock–Bogolyubov Approximation in the Models with Four-Fermion Interaction
N. N. Bogolyubov (Jr.)
264
A Chain of Equations for Two-Time Irreducible Green Functions in Molecular Hydrodynamics
Yu. A. Tserkovnikov
286
The Onsager Formula
Yu. M. Zinoviev
298


© Steklov Math. Inst. of RAS, 2025