Geodesic

Sommaire du Fascicule no. 1

Foreword
The ABCs of Magnetic Monopole Dynamics
p. 4-14
Applications of Riemannian and Einstein--Weyl Geometry in the Theory of Second-Order Ordinary Differential Equations
p. 15-26
Quantum Groups and the Genetic Code
p. 27-42
Pfaffianization of the Davey--Stewartson Equations
p. 43-55
Diffusion of Loops
p. 56-64
Covariance of Lax Pairs and Integrability of the Compatibility Condition
p. 65-83
Hypergeometric Solutions of Soliton Equations
p. 84-108
The Calogero Equation and Liouville-Type Equations
p. 109-115
Self-Adjoint A$\Delta$Os with Vanishing Reflection
p. 116-132
Integration of the Gauss--Codazzi Equations
p. 133-144

Sommaire du Fascicule no. 2

Cohomologies of the Lie Algebra of Vector Fields on a Line
p. 147-160
Geometric Models of the Statistical Theory of Fragmentation
p. 161-177
Stochastic Fractals with Markovian Refinements
p. 178-192
Asymptotic expansions for partial solutions of the sixth Painlev\'e equation
p. 193-204
Construction of Separation Variables for Finite-Dimensional Integrable Systems
p. 205-225
Bдcklund Transformation and Dressing Chains for the Landau--Lifshitz Equation
p. 226-235
Dimensional Regularization and the $n$-Wave Procedure for Scalar Fields in Many-Dimensional Quasi-Euclidean Spaces
p. 236-248
Integration of the $\mathrm{SL}(2,\mathbb R)/\mathrm{U}(1)$ Gauged WZNW Theory by Reduction and Quantum Parafermions
p. 249-267
Three-Particle Problem with Pairwise Interactions Inversely Proportional to Squared Distance
p. 268-287
Entropy Production by Simplified Dynamics in Spin Glass Systems
p. 288-308
Absence of Diffusion Through the Fractal Boundary of Two Media
p. 309-320

Sommaire du Fascicule no. 3

On 75th birthday of V.~Ya.~Fainberg
Star Product for Second-Class Constraint Systems from a BRST Theory
p. 324-360
A Simplified Model for Monopole Catalysis of Nucleon Decay
p. 361-377
Conformal Higher-Spin Symmetry for Matter Fields in $2+1$ Dimensions
p. 378-394
Amplitudes in Nonlocal Theories at High Energies
p. 395-402
On the Mechanism for Nonlinear Representations of the Lorentz Group Arising in Quantum Field Theory
p. 403-408
Conformally Invariant Regularization and Skeleton Expansions in Gauge Theory
p. 409-421
Democratic Formulation of $D=10$ Supersymmetry
p. 422-438
Field Theory Method for Reconstructing the Stress Tensor in the Earth with a Movable Core
p. 439-445
First-Quantized Fermions in Compact Dimensions
p. 446-460
Solutions of the Periodic Toda Lattice by the Projection and the Algebraic-Geometric Methods
p. 461-473
Twists and Singular Vectors in $\widehat{s\ell}(2|1)$ Representations
p. 474-491
Lorentz-Covariant Ultradistributions, Hyperfunctions, and Analytic Functionals
p. 492-514
General Form of the $*$-Commutator on the Grassmann Algebra
p. 515-539
Tachyon Effective Actions in String Theory
p. 540-560