Geodesic

Sommaire du Fascicule no. 1

Actions with a finite number of orbits
p. 1-5
Real algebrogeometric solutions of the Landau--Lifshits equation in prym theta functions
p. 6-19
Higher-dimensional analogs of the theorems of Newton and Ivory
p. 20-24
Asymptotic of the largest and the typical dimensions of irreducible representations of a symmetric group
p. 25-36
Determinants of Cauchy--Riemann operators over a Riemann surface
p. 37-41
Structure of the spectrum of the Schr\"odinger operator with almost-periodic potential in the vicinity of its left edge
p. 42-48
Exactness of the Novikov inequalities
p. 49-59
Topological properties of extremal boundaries of convex compact sets in $I^2$
p. 60-61
Differential forms in infinite-dimensional spaces and their use in kinetic equations
p. 62-63
Action of $T$-groups on von Neumann algebras and factors with countable fundamental groups
p. 64-65
Cauchy problem for exponentially correct differential operators
p. 66-68
Reduction of the nonlinear diffusion equation to linear form
p. 69-70
Finitely determined $1$-forms $w$, $w|_0\ne0$ are exhausted by the Darboux and Martinet models
p. 71-72
Asymptotics of the discrete spectrum for certain operators in $\mathbb{R}^d$
p. 73-74
Connection of a group algebra with the tail $\sigma$-algebra of a random walk on a group
p. 75-76
Orbits of a maximal torus on a flag space
p. 77-78
Linear complexes of $k$-planes
p. 79-80
Theory of the self-adjoint extensions of symmetric operators with a spectral gap
p. 81-82
Characteristic classes of Grassmanian bundles
p. 83-84
Existence and uniqueness of extremal solutions of the Riccati equation, and symplectic geometry
p. 85-86
Injections of Banach spaces with closed image of the unit ball
p. 87-88
Some finite-dimensional representations of generalized Sklyanin algebras
p. 89-90
Number of periodic trajectories for analytic diffeomorphisms of the circle
p. 91-92

Sommaire du Fascicule no. 2

Normal form of a differential equation, not solvable for the derivative, in a neighborhood of a singular point
p. 1-10
Construction of higher-dimensional nonlinear integrable systems and of their solutions
p. 11-25
Elliptic domains of general families of homogeneous polynomials and extreme functions
p. 26-36
Hankel operators in the perturbation theory of unitary and self-adjoint operators
p. 37-51
Additive $K$-theory and crystalline cohomology
p. 52-62
Stable interpolation functors
p. 63-64
A characteristic property of simple Lie algebras
p. 65-66
A spectral asymptotics of an elliptic operator in a bounded domain
p. 67-69
Direct sum of integration operators
p. 70-71
Polyhedra in the scheme space and the canonical basis in irreducible representations of $\mathfrak{gl}_3$
p. 72-75
Preserved extreme points
p. 76-77
Normal forms of the degrees of a volume form
p. 78-79
Asymptotics of the spectra of degenerate elliptic systems in unbounded regions
p. 80-81
An analog of Nelson's theorem
p. 82-83
A problem on the Steinberg conjecture
A description of Poisson brackets on a space of nonlocal functionals
p. 85-87
Blaschke manifolds of the projective plane type
p. 88-89
Bisingular characteristic operators with discontinuous coefficients in the space $L_2(\mathbf R_2)$
p. 90-91
Zeros of integrals along trajectories of ergodic systems
p. 92-93
Counterexamples to a conjecture of Rokhlin
p. 94-95

Sommaire du Fascicule no. 3

Linear systems of hyperplane sections on varieties of low codimension
p. 1-10
Monodromy and vanishing cycles of boundary singularities
p. 11-21
Classical orthogonal polynomials of A discrete variable and representations of the three-dimensional rotation group
p. 22-35
Functional realizations of basis representations of factoring Lie groups and algebras
p. 36-52
Implementation of the formulas for the finite-zone integration of the sine-Gordon equation for a certain curve of genus $3$
p. 53-55
An algebraic description of some categories of $D_X$-modules
p. 56-57
Some solutions of the self-dual Einstein equation
p. 58-60
Invariant subspaces of $J$-dissipative operators
p. 61-62
Deformation and degeneration of complex hyperbolic pseudometrics and pseudovolumes
p. 63-64
Representations of the Lie algebra $sl(2)$ in $l$-adic cohomologies
p. 65-66
Action of the Liouville equation is a generating function for the accessory parameters and the potential of the Weil--Petersson metric on the Teichm\"uller space
p. 67-68
Biholomorphic classification of the tubular tori in $\mathbb{C}^2$
p. 69-70
Invertibility of almost-periodic operators
p. 71-72
Spaces $L_p$ with a mixed norm on locally compact groups
p. 73-74
Automorphisms of the Lie superalgebras of string theory
p. 75-76
Integration with respect to weight on $JBW$-algebras
p. 77-78
An inequality for analytic functions
Dedekind $\eta$-function and indefinite quadratic forms
p. 80-81
Additive characteristic classes in $K$-theory
p. 82-83
A theorem on the $\varepsilon$-trajectories for the lorenz mapping
p. 84-85
Structure of the spectrum of the periodic Schr\"odinger operator on the Euclidean torus
p. 86-87
Perturbations of a one-dimensional Schr\"odinger operator with limit-periodic potential
p. 88-89
Reconstruction of the function of the rotation number for the Schr\"odinger operator with almost-periodic potential from a countable set of polynomial invariance laws
p. 90-91
Stability of the solutions of elliptic systems
p. 92-93
Real $W^*$-factors of type III$_\lambda$, $0\le\lambda1$
p. 94-95

Sommaire du Fascicule no. 4

The Sturm theorems and symplectic geometry
p. 1-10
Filtering bases, cohomology of infinite-dimensional Lie algebras, and Laplace operators
p. 11-22
Local classification of volume forms in the presence of a hypersurface
p. 23-31
Analogs of multisoliton potentials for the two-dimensional Schr\"odinger operator
p. 32-42
Nonstandard characteristics and Maslov's operatorial method in linear problems concerning unsteady water waves
p. 43-54
Precise order bounds for the number of components of the complement of the zeros of harmonic polynomials
p. 55-60
The Nielsen zeta function
p. 61-67
Finite dimensionality of homologies of the Lie algebra of Hamiltonian vector field on the plane
p. 68-73
Metric properties of the space $\varphi(X,Y)$
p. 74-75
Spectral asymptotics of Gasymov--Kostyuchenko problems with ``nonsmooth'' coefficients
p. 76-77
Symmetric spaces and sequences of independent random variables
p. 78-79
Determinant of the characteristic function of a non-self-adjoint operator
p. 80-81
Hamiltonian operators and Hochschild homologies
p. 82-83
Index of convolution operators with slowly varying coefficients on Abelian groups
p. 84-85
Structural stability in some families of entire functions
p. 86-87
Extremal-type equations and their resolvents over reductive Lie algebras
p. 88-89
A theorem on coincidence of spectra for tangentially elliptic operators on foliated manifolds
p. 90-91
Invariant measures generated by random fields with independent values
p. 92-93
On the system $\{\exp(-\alpha\lambda_nt)\sin\lambda_nt\}_{n=1}^\infty$