Geodesic

Sommaire du Fascicule no. 1

BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets
p. 3-22
$SL(2)$-Solution of the Pentagon Equation and Invariants of Three-Dimensional Manifolds
p. 23-34
Evolution Operator for a~Quantum Pendulum
p. 35-40
Local Perturbations of the Schr\"odinger Operator on the Plane
p. 41-54
Classifying Integrable Egoroff Hydrodynamic Chains
p. 55-70
One Property of the Renormalization Group Operator
p. 71-80
The Propagator of a~Massive Field of Spin $s=2$ in the Anti-de Sitter Space
p. 81-92
The $SU_3$ Space and Its Quotient Spaces
p. 93-103
$N=4$ Superconformal Algebra in Curved Space and Pseudo--Hyper--K\"ahler Geometry
p. 104-115
Critical Asymptotic Behavior of Correlations in a~Simple Liquid
p. 127-138
Low-Frequency Spin Oscillation Branch in a~System with Exchange Interaction
p. 139-143
Nonequilibrium Statistical Thermodynamics of Two Dissipative Processes in Solids: Energy Losses of Channeled Particles at Low Velocities and Ultrasound Absorption by Conduction Electrons
p. 144-156
Equilibrium State of Inhomogeneous Plasma
p. 157-166
A~Possibility for Studying Gravitational Properties of the Neutrino
p. 167-176

Sommaire du Fascicule no. 2

Geometric Properties of $W$-Algebras and the Toda model
p. 179-192
One-Dimensional Topologically Nontrivial Solutions in the Skyrme Model
p. 193-208
Constructing Representations of the Nonstandardly Deformed Algebra $s\ell_\xi(2)$
p. 209-224
Limiting Laws for Entrance Times of Critical Mappings of a~Circle
p. 225-245
Massless Elementary Particles in a Quantum Theory over a Galois Field
p. 246-268
Functional Equations and Quantum Separation of Variables for 3d Spin Models
p. 269-282
Lax Pairs for Equations Describing Compatible Nonlocal Poisson Brackets of Hydrodynamic Type and Integrable Reductions of the Lamй Equations
p. 283-296
Semiclassical Wormholes with a~Smooth Throat
p. 297-318
Gauge Theory Solitons on the Noncommutative Cylinder
p. 319-337
Scattering Problem for a~Classical Particle with Spin in a~Coulomb Field
p. 338-348
Is the Causality Principle Violated for Gravitational Waves?
p. 349-352

Sommaire du Fascicule no. 3

Nonlinear Dynamics Equation in $p$-Adic String Theory
p. 355-368
Evidence for a~Phase Transition in Three-Dimensional Lattice Models
p. 369-382
$p$-Adic Pseudodifferential Operators and $p$-Adic Wavelets
p. 383-394
Combinatorial Nature of the Ground-State Vector of the $O(1)$ Loop Model
p. 395-400
Laplace Invariants of Two-Dimensional Open Toda Lattices
p. 401-421
Finite-Dimensional Discrete Systems Integrated in Quadratures
p. 422-436
Light-Cone Operator-Product Expansions Revisited:~I
p. 437-452
The $n$-Wave Procedure and Dimensional Regularization for the Scalar Field in a~Homogeneous Isotropic Space
p. 453-467
The $\theta$ Instantons in the $SU(2)$ Higgs Theory
p. 468-479
A~Class of Potentials for Which Exact Semiclassical Quantization Can Be Achieved
p. 480-490
Probability Interpretation of the Integral of Fractional Order
p. 491-507
Nucleon Instability in a~Degenerate Magnetized Nucleon--Electron Gas
p. 508-528