Geodesic

Sommaire du Fascicule no. 1

Symmetry algebras of linear differential equations
p. 3-12
Spinor structures on homogeneous spaces
p. 13-23
Stokes line width
p. 24-40
``Classical'' equations of motion in quantum mechanics with gauge fields
p. 41-61
Perturbation of the Korteweg--de Vries soliton
p. 62-76
Supersymmetric chiral boson with linearly realized self-duality condition
p. 77-84
Infinite-dimensional strange attractors and bifurcations in adynamical system with infinitely many degrees of freedom
p. 85-91
Fixed-scale transformation with allowance for short-range spin correlations
p. 92-97
Limit distribution function of inhomogeneities in regions with random boundary.~I
p. 98-112
Fluctuation forces in a~three-layer medium with rough boundaries.~IV. Calculations in the second order of perturbation theory (Casimir range)
p. 113-118
Thermorelaxation resonance in the quantum theory of Brownian motion
p. 119-126
Analytic solution of boundary-value problems for nonstationary model kinetic equations
p. 127-138
Analytic continuation of mayer and virial expansions
p. 139-149
Some features of two approaches to the affine-metric theory of gravitation
p. 150-153
Density functional taking into account nuclear thermal motion of compressed matter
p. 154-157
Statistics of a~parametric oscillator in a~thermal reservoir
p. 158-165
Dynamical breaking of~$U(N)$ and generation of Chern--Simons term in 4-fermion theories
p. 166-171
Quantum projective field theory: Quantum-field analogs of the Euler formulas
p. 172-176

Sommaire du Fascicule no. 2

In memory of Nikolai Nikolaevich Bogolyubov (08.21.1909--02.13.1992)
p. 179-181
Superconductivity in the hubbard model with deviation from half filling
p. 182-190
Basic equations for the massive gravitational field
p. 191-206
Quantum inverse scattering method on a~spacetime lattice
p. 207-214
Semiclassical maslov asymptotics with complex phases.~I.~General approach
p. 215-254
Lower branch of the spectrum of a~fermion interacting with a~bosonic gas (polaron)
p. 255-268
Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the Tokamak approximation
p. 269-292
Turbulence as a~nonequilibrium phase transition
p. 293-311
On the need for and the possibility of a~unified description of kinetic and hydrodynamic processes
p. 312-330
Microscopic approach to calculation of the shear and bulk moduli and the frank constant in two-dimensional melting
p. 331-343
Magnetic ordering and phase separation in high-temperature superconductors
p. 344-352

Sommaire du Fascicule no. 3

Remarks on the physical states and the Chiral algebra of 2D gravity coupled to~$C\leqslant 1$ matter
p. 357-373
Complete integrability, gauge equivalence and Lax representation of inhomogeneous nonlinear evolution equations
p. 374-386
An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates
p. 387-403
Gauge theories for gravity on a~line
p. 404-414
Graded spin-wave theory of $t-J$ model
p. 415-424
Notes on quantum groups and quantum de~Rham complexes
p. 425-450
The Dirac bracket
p. 451-456
On the integrability problem of a~continuous Toda system
p. 457-465
Perturbation of differential operators on high-codimension manifold and the extension theory for symmetric linear relations in an indefinite metric space
p. 466-472
Canonical quantization of anomalous theories
p. 473-485
Proof of conformal invariance in the critical regime for models of Gross--Neveu type
p. 486-497
Open bosonic string amplitudes
p. 498-506
D-E classification of the local extensions of $SU_2$ current algebras
p. 507-521
Remarks on Alain Connes' approach to the standard model in non-commutative geometry
p. 522-528