Geodesic

Sommaire du Fascicule no. 1

Conjugacy of real diffeomorphisms. A~survey
p. 3-56
$L^p$-bounded point evaluations for polynomials and uniform rational approximation
p. 57-74
The closure of the Hardy space in the Bloch norm
p. 75-81
The power law for the Buffon needle probability of the four-corner Cantor set
p. 82-97
A class of topographical waveguides
p. 98-107
Homogenization in Sobolev class $H^1(\mathbb R^d)$ for periodic elliptic second order differential operators including first order terms
p. 108-222
Module of pseudo-rational relations of quotient divisible group
p. 223-239

Sommaire du Fascicule no. 2

To the theory of infinitely differentiable semigroups of operators
p. 1-13
Cluster $\mathcal X$-varieties for dual Poisson--Lie groups.~I
p. 14-104
The trace of $BV$-functions on an irregular subset
p. 105-126
Nondensity of the orbital shadowing property in $C^1$-topology
p. 127-163
Littlewood--Paley inequality for arbitrary rectangles in $\mathbb R^2$ for $0$
p. 164-184
Linearly controlled asymptotic dimension of the fundamental group of a~graph-manifold
p. 185-203
Fractional moments of automorphic $L$-functions
p. 204-224

Sommaire du Fascicule no. 3

Several aspects of applying distributions to analysis of gravitational shock waves in general relativity
p. 3-15
On rational symplectic parametrization of the coadjoint orbit of $\mathrm{GL}(N)$. Diagonalizable case
p. 16-31
The correlation functions of the $XXZ$ Heisenberg chain in the case of zero or infinite anisotropy, and random walks of vicious walkers
p. 32-59
Asymptotic behavior of eigenfunctions of the three-particle Schr\"odinger operator.~II. Charged one-dimensional particles
p. 60-79
Non-Hermitian spin chains with inhomogeneous coupling
p. 80-106
Quantum Toda chains intertwined
p. 107-141
Fusion procedure for the Brauer algebra
p. 142-154
Extended quadratic algebra and a~model of the equivariant cohomology ring of flag varieties
p. 155-176
Gaudin Hamiltonians generate the Bethe algebra of a~tensor power of the vector representation of~$\frak{gl}_N$
p. 177-190
Hirota difference equation and a~commutator identity on an associative algebra
p. 191-205
Multiplicity of solutions of the Dirichlet problem for an equation with the $p$-Laplacian in a~three-dimensional spherical layer
p. 206-221
Invariants of coadjoint representations of regular factors
p. 222-247

Sommaire du Fascicule no. 4

On perturbations of the isometric semigroup of shifts on the semiaxis
p. 1-20
Parametrization of a~two-dimensional quasiperiodic Rauzy tiling
p. 21-56
Cyclicity of elementary polycycles with fixed number of singular points in generic $k$-parameter families
p. 57-75
Gr\"obner--Shirshov bases of the Lie algebra $D^+_n$
p. 76-136
Criterion of analytic continuability of functions in principal invariant subspaces on convex domains in~$\mathbb C^n$
p. 137-197
H\"older functions are operator-H\"older
p. 198-213
The quasinormed Neumann--Schatten ideals and embedding theorems for the generalized Lions--Peetre spaces of means
p. 214-231
On divergence of sinc-approximations everywhere on~$(0,\pi)$
p. 232-256

Sommaire du Fascicule no. 5

Spectral estimates for a~periodic fourth-order operator
p. 1-48
Entire functions of sine type and their applications
p. 49-68
Homogenization of periodic differential operators of high order
p. 69-103
Orthogonal subsets of root systems and the orbit method
p. 104-130
Extremal properties of spherical semidesigns
p. 131-139
On intrinsic isometries to Euclidean space
p. 140-153
Spectral synthesis in some topological vector spaces of functions
p. 154-185
The Krein differential system and integral operators of random matrix theory
p. 186-199

Sommaire du Fascicule no. 6

A problem with an obstacle that goes out to the boundary of the domain for a~class of quadratic functionals on~$\mathbb R^n$
p. 3-42
How should we improve the ray-tracing method?
p. 43-49
Schr\"odinger operator on the axis with potentials depending on two parameters
p. 50-66
Asymptotic solutions of the two-dimensional model wave equation with degenerating velocity and localized initial data
p. 67-90
On ill-posedness of free-boundary problems for highly compressible two-dimensional elastic bodies
p. 91-108
On asymptotic approximations of solutions of an equation with a~small parameter
p. 109-126
The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a~domain with highly indented boundary
p. 127-184
On the problem of time-harmonic water waves in the presence of a~freely-floating structure
p. 185-199
Trace Hardy--Sobolev inequalities in cones
p. 200-213
A variational problem of phase transitions for a~two-phase elastic medium with zero coefficient of surface tension
p. 214-234
On the linear problem arising in the study of a~free boundary problem for the Navier--Stokes equations
p. 235-269
The semiclassical limit of eigenfunctions of the Schr\"odinger equation and the Bohr--Sommerfeld quantization condition, revisited
p. 270-291