Geodesic

Sommaire du Fascicule no. 1

Regularization-Independent Gauge-Invariant Renormalization of the Yang--Mills Theory
p. 3-14
Integrable Chains and Hierarchies of Differential Evolution Equations
p. 15-30
Initial Boundary Value Problem for the KdV Equation on a~Semiaxis with Homogeneous Boundary Conditions
p. 31-53
Perturbation Theory for Density Matrices and the Thermodynamic Potential of a~Quantum System
p. 54-63
Formulation of Quantum Scattering Theory in Terms of Proper Differentials (Stationary Wave Packets)
p. 64-86
Equilibrium of a~Degenerate Gas of Nucleons and Electrons in a~Strong Magnetic Field
p. 87-108
Countably Periodic Gibbs Measures of the Ising Model on the Cayley Tree
p. 109-118
Melting of Two-Dimensional Systems: Dependence of the Type of Transition on the Radius of the Potential
p. 119-130
Thermalization of Displacement Cascades in Solids and the Thermal Spike Model
p. 131-144
Field Theory Analysis of Critical Behavior of a~Symmetric Binary Fluid
p. 145-158
Hopfield Model with a~Dynamic Threshold
p. 159-176

Sommaire du Fascicule no. 2

A~Field Theory Description of Constrained Energy-Dissipation Processes
p. 179-232
Integrability of the Equations for Nonsingular Pairs of Compatible Flat Metrics
p. 233-250
Geometry of Solutions of the $N=2$ SYM Theory in Harmonic Superspace
p. 251-266
Properties of the Schr\"odinger Operator Spectrum in a~Magnetic Field
p. 267-274
Decay of Quasi-Stationary States of Nonrelativistic Quantum Systems in an Intense Electromagnetic Field
p. 275-286
Dissipative and Hamiltonian Systems with Chaotic Behavior: An Analytic Approach
p. 287-300
Invariant Distributions in Systems with Elastic Reflections
p. 301-319
Wannier Representation for the Three-Band Hubbard Model
p. 320-338
Can the Notion of a~Homogeneous Gravitational Field be Transferred from Classical Mechanics to the Relativistic Theory of Gravity?
p. 339-352

Sommaire du Fascicule no. 3

Unitary Representations of the Quantum Lorentz Group and Quantum Relativistic Toda Chain
p. 355-382
New Relations in the Algebra of the Baxter $Q$-Operators
p. 383-413
Riemann Surfaces of Some Static Dispersion Models and Projective Spaces
p. 414-425
The Elliptic Gaudin System with Spin
p. 426-441
Potential Renormalization Method for a Model of the Hartree--Fock--Slater Type
p. 442-450
Generalized Heisenberg Model
p. 451-459
Semiclassical Trajectory-Coherent Approximations of Hartree-Type Equations
p. 460-492
Exact Solution of the Ising Model on the Cayley Tree with Competing Ternary and Binary Interactions
p. 493-499
$\mathbb {Z}$Existence of a Phase Transition for the Potts $p$-adic Model on the Set $\mathbb {Z}$
p. 500-507
A~Representation of Virial Coefficients That Avoids the Asymptotic Catastrophe
p. 508-528