Geodesic

Sommaire du Fascicule no. 1

Stable groups over associative rings with~$1/2$. A~description of isomorphisms of the stable linear groups
p. 3-20
Representations of the strong endomorphism monoid of finite $n$-uniform hypergraphs
p. 21-34
An example of two cardinals that are equivalent in the $n$-order logic and not equivalent in the $(n+1)$-order logic
p. 35-44
Elementary equivalence of linear groups over rings with a~finite number of central idempotents and over Boolean rings
p. 45-55
Normalizers of Chevalley groups of type $G_2$ over local rings without~$1/2$
p. 57-62
Almost primitive elements of free Lie algebras of small ranks
p. 63-74
Subgroups of the Chevalley groups and Lie rings definable by a~collection of additive subgroups of the initial ring
p. 75-84
Prime radicals of lattice $\mathcal K$-ordered algebras
p. 85-158
A criterion of elementary equivalence of automorphism groups of reduced Abelian $p$-groups
p. 159-170
One problem on geometric Ramsey numbers
p. 171-180
Endomorphisms of the semigroup $G_2(R)$ over partially ordered commutative rings without zero divisors and with~$1/2$
p. 181-204

Sommaire du Fascicule no. 2

An algorithm for cartographic generalization that preserves global topology
p. 5-12
Bayesian model selection and the concentration of the posterior of hyperparameters
p. 13-34
Steiner ratio for the Hadamard surfaces of curvature at most~$k0$
p. 35-51
Properties of the Bayesian parameter estimation of a~regression based on Gaussian processes
p. 53-65
The type of minimal branching geodesics defines the norm in a~normed space
p. 67-77
Methods of computational topology for the analysis of dynamics of active regions of the Sun
p. 79-93
$k$-neighborly faces of the Boolean quadric polytopes
p. 95-103
The common face of some $0/1$-polytopes with NP-complete nonadjacency relation
p. 105-118
Estimates for the Steiner--Gromov ratio of Riemannian manifolds
p. 119-124
Enumeration of irreducible contact graphs on the sphere
p. 125-145
Computation of the longest segment of a~given direction in a~simplex
p. 147-152
An open family of sets that have several minimal fillings
p. 153-156
The Steiner and Gromov--Steiner ratios and Steiner subratio in the space of compacta in the Euclidean plane with Hausdorff distance
p. 157-165
The Steiner subratio of five points on a~plane and four points in three-dimensional space
p. 167-179
Probabilistic properties of topologies of finite metric spaces' minimal fillings
p. 181-196
A~method for solving the $p$-adic Kolmogorov--Feller equation for an ultrametric random walk in an axially symmetric external field
p. 197-207
Selection of a~metric for the nearest neighbor entropy estimators
p. 209-227

Sommaire du Fascicule no. 3

Two examples of diagonal bi-acts
p. 3-9
Codimension growth of algebras with adjoint unit
p. 11-26
The group of fractions of the semigroup of invertible nonnegative matrices of order three over a~field
p. 27-42
The Casimir element
p. 43-52
Abelian dqt-groups and rings on them
p. 53-67
Symmetric polynomials and nonfinitely generated $\mathrm{Sym}(\mathbb N)$-invariant ideals
p. 69-76
Colorings of partial Steiner systems and their applications
p. 77-115
A class of finite groups with Abelian centralizer of an element of order~$3$ of type $(3,2,2)$
p. 117-137
Concrete characterization of universal planar automata
p. 139-148
A self-induced metric on groupoids and its application to the analysis of cellular interactions in biology
p. 149-160
Representations of Gelfand--Graev type for the unitriangular group
p. 161-178
Extensions of automorphisms of submodules
p. 179-198
On values of elements in partially ordered groups
p. 199-212

Sommaire du Fascicule no. 4

Stable groups over associative rings with $1/2$. Description of isomorphisms of the stable unitary groups
p. 3-21
Cyclic regulator quotient groups in the class of almost completely decomposable groups
p. 23-31
Decomposition of unitary linear groups into products of free factors
p. 33-39
Multiplicatively idempotent semirings
p. 41-70
Dense finitely generated subgroups and integration on compact groups
p. 71-77
On tame and wild automorphisms of algebras
p. 79-88
Invariants of homotopy classes of curves and graphs on $2$-surfaces
p. 89-105
Periodicity of morphic words
p. 107-119
PI-exponents of some simple algebras with unit
p. 121-128
Automorphism-invariant modules
p. 129-135
Basic Reed--Muller codes as group codes
p. 137-154
Extension of endomorphisms of the subsemigroup $\mathrm{GE}^+_2(R)$ to endomorphisms of $\mathrm{GE}^+_2(R[x])$, where~$R$ is a~partially-ordered commutative ring without zero divisors
p. 155-184
Pairing inversion for finding discrete logarithms
p. 185-195
Algebraic geometry over Boolean algebras in the language with constants
p. 197-218

Sommaire du Fascicule no. 5

Estimates for the growth order of sequences of multiple rectangular Fourier sums of integrable functions
p. 3-15
Maximization of a~function with Lipschitz continuous gradient
p. 17-25
On the asymptotic solution of one extremal problem related to nonnegative trigonometric polynomials
p. 27-67
Weighted integrability of double series with respect to multiplicative systems
p. 69-87
Well-posedness of approximation and optimization problems for weakly convex sets and functions
p. 89-118
The probability of successful allocation of particles in cells (the general case)
p. 119-128
Direct and inverse theorems on approximation by piecewise polynomial functions
p. 129-144
Functions from Sobolev and Besov spaces with maximal Hausdorff dimension of the exceptional Lebesgue set
p. 145-153
On best harmonic synthesis of periodic functions
p. 155-174
Best recovery of the Laplace operator of a~function and sharp inequalities
p. 175-185
Cubature and quadrature formulas of high order of approximation
p. 187-207
Series formed by the moduli of blocks of terms of trigonometric series. A~survey
p. 209-216

Sommaire du Fascicule no. 6

From the Editor
p. 3-4
Weighted trees with primitive edge rotation groups
p. 5-50
Computation of the first Stiefel--Whitney class for the variety $\overline{\mathcal M_{0,n}^\mathbb R}$
p. 51-75
The computation of Belyi pairs of $6$-edged dessins d'enfants of genus~$3$ with symmetries of order~$2$
p. 77-89
A differential equation on the cover function of the hexagonal lattice by the trivalent tree
p. 91-94
The hypergroups of order~3 over a~group arising from the dihedral group of order~18
p. 95-110
On the Belyi functions of planar circular maps
p. 111-133
Enumeration of weighted plane trees
p. 135-144
On the geometrization of the absolute Galois group
p. 145-159
Chebyshev polynomials, Zolotarev polynomials, and plane trees
p. 161-170
Enumeration of one class of plane weighted trees
p. 171-184
Rational functions with two critical points of maximum multiplicity
p. 185-208
Unicellular four-edged toric dessins
p. 209-222