Geodesic

Sommaire du Fascicule no. 1

Topological Classification of Trigonometric Polynomials and Combinatorics of Graphs with an Equal Number of Vertices and Edges
p. 1-17
Invariant Integrability Criterion for Equations of Hydrodynamic Type
p. 18-29
Multicomponent Pseudo-Periodic Mappings
p. 30-38
Torsion in the Quotient Group of the Artin--Brieskorn Braid Group and Regular Springer Numbers
p. 39-46
Symplectic Connections on the Fiberings of Regular Orbits under the Adjoint Representations of Simple Lie Groups
p. 47-53
Averaging Along a Markov Chain
p. 54-56
Explicit Algebraic Description of Hyperelliptic Jacobians on the Basis of the Klein $\sigma$-Functions
p. 57-60
On the Theory of $J$-Self-Adjoint Perturbations of Self-Adjoint Operators
p. 61-63
Asymptotics of the Homogenized Lagrangian for the Model of Slow Diffusion with Nonlinear Degeneration
p. 63-67
Theorems on the Embedding of Bergman Spaces in Lebesgue Spaces for Domains with Nonsmooth Boundary
p. 67-70
An Abstract Lax--Phillips Scattering Theory for a Class of Second-Order Equations
p. 70-73
A Remark on Limit Operators
p. 73-75
Epimorphisms and Meager Sets of a Banach Algebra
p. 75-78
Asymptotic Behavior of the Gelfand and the Bernstein Widths of Some Classes of Analytic Functions
p. 79-80
Coerciveness Problem for a Class of Functional Differential Equations
p. 81-83
Cohomology Relation for Cocycles that Correspond to Ergodic Skew Products
p. 84-86
Nonunitary Part of the Tensor Product of Two Representations of the Group $SO_0(n-1,1)$, One of Which is Unitary
p. 86-89
Geodesic Modeling and Solvability Conditions for a Two-End Problem for Multivalued Functionals
p. 89-92
Singular Spectrum of the Friedrichs Model Operators in a Neighborhood of the Singular Point
p. 92-95

Sommaire du Fascicule no. 2

Estimates of $s$-Numbers and Spectral Asymptotics for Integral Operators of Potential Type on Nonsmooth Surfaces
p. 1-18
Statistical Mechanics of Combinatorial Partitions, and Their Limit Shapes
p. 19-39
On the Conformal Type of a Riemannian Manifold
p. 40-55
Critical Points of Quasi-Functions and Generating Families of Legendrian Manifolds
p. 56-69
Stability of Systems of a Large Number of Particles in Magnetic Fields
p. 70-73
Quadratic Relations in the Cohomology of Generalized Pure Braids and Dunkl Identities
p. 73-76
The Spectrum of a General Three-Particle Lattice Hamiltonian
p. 76-80
The $ABC$-flow is not integrable for $A=B$
p. 80-81
On the Pauli Problem
p. 82-84
Absolute, Perfect, and Unconditional Convergence of Double Series
p. 85-86
On the Deformation Quantization, on a K\"ahler Manifold, Associated with a Berezin Quantization
p. 87-89
The Structure of the Continuous Spectrum of a One-Dimensional Schr\"odinger Operator with Point Interactions
p. 90-93
Locally Invertible Operators and the Method of Continuation with Respect to Parameter
p. 93-95

Sommaire du Fascicule no. 3

Semigroups of Difference Operators in Spectral Analysis of Linear Differential Operators
p. 1-11
Combinatorial Algebras and Multivalued Involutive Groups
p. 12-18
Homological Properties of Dimer Configurations for Lattices on Surfaces
p. 19-33
Regular Fixed Points and Stable Invariant Subsets of Monotone Operators
p. 34-46
Fast Variation of the Magnetic Field in a Charged Perfect Gas at Large Reynolds Numbers
p. 47-61
The Associativity Equations in the Two-Dimensional Topological Field Theory as Integrable Hamiltonian
p. 62-72
Homotopy Conservation and Spatially Complex Solutions of Parabolic Equations in Several Variables
p. 73-76
Combinatorial Coefficients and the Mixed Volume of Polytopes
p. 77-79
Dual Representations of Convex Bodies and Their Polars
p. 79-81
Zygmund's Theorem and the Boundary Behavior of Operator $R$-functions
p. 82-84
Algebras of Singular Integral Operators on Composed Contours with Whirl Points
p. 85-87
Theorem on Four Support Vertices of a Polygonal Line
p. 88-90
Vector and Covector Invariants of Lie Superalgebras
p. 90-93
On a Fixed-Point Theorem
p. 93-94

Sommaire du Fascicule no. 4

An Example of a Strange Nonchaotic Attractor
p. 1-9
Direct Product of Unfurled Swallowtails in the Problem of Going around an Obstacle
p. 10-18
Moduli Spaces of Real Algebraic $N=2$ Supercurves
p. 19-30
Whitham Gap Dynamics of the Real-Valued Solution of the Sine-Gordon Equation with Finite-Gap Boundary Conditions
p. 31-44
Lefschetz Numbers and Geometry of Operators in $W^*$-Modules
p. 45-57
On the Multiplier of a Rearrangement Invariant Space with Respect to the Tensor Product
p. 58-60
Infinite-Dimensional Non-Gaussian Analysis and Generalized Translation Operators
p. 61-65
Extreme Points of Convex Compact Sets in the Hilbert Cube
p. 65-68
Integrable Systems Generated by a Constant Solution of the Yang--Baxter Equation
p. 68-71
Integral Geometry on the Space $L^n$, where $L$ is a Matrix Ring
p. 71-74
Operator Differentiable Functions and Derivations of Operator Algebras
p. 75-77
Magnetic Floquet Theory and Spectral Asymptotics for Schr\"odinger Operators
p. 77-80
Cohomology of Nilpotent Subalgebras of the Algebra $\widehat{sl_2}$
p. 80-83
Representability of Functionals on Hilbert $C^*$-Modules
p. 83-86
Extensions of the Virasoro Group and the Virasoro Algebra by Modules of Tensor Densities on $S^1$
p. 86-88
Spectral Properties of the Orr--Sommerfeld Problem in the Vanishing Viscosity Limit
p. 88-91