Geodesic

Sommaire du Fascicule no. 1

Efficient portfolio dependent on Cox--Ingersoll--Ross interest rate
p. 3-10
Piecewise periodicity structure estimates in Shirshov's height theorem
p. 10-16
Asymptotics of stationary measure under scaling in stochastic exchange processes
p. 16-21
Convergence of orthogonal greedy algorithm with errors in projectors
p. 21-26
Abelian subgroups generated by Dehn twists in homeomorphism group
p. 26-32
Inverse coding theorem for infinite-dimensional quantum channels
p. 32-37
Modeling of catalytic activity of an $\mathrm{Al}_2\mathrm{O}_3$ surface on the basis of the first principles
p. 38-44
Evolution of motion of a rigid body with a fixed point and an ellipsoidal cavity filled with a viscous fluid
p. 44-50
Some properties of $P$-sets of finite-automaton functions
p. 51-53
Description of algebras of length~$1$
p. 54-56
Depth of functions of $k$-valued logic in finite bases
p. 56-59
Stability of stationary rotations of multidimensional rigid body
p. 59-62
Flutter of a viscoelastic strip
p. 62-65
Effect of structural permeability on the stability of a parachute with four suspension lines
p. 65-68
The role of divergent terms in the Frank energy of nematic liquid crystals
p. 69-71

Sommaire du Fascicule no. 2

Maximally symmetric height atoms
p. 3-6
Optimal investment and reinsurance strategy
p. 6-12
One-channel system with unreliable server and different service times
p. 12-17
Lower estimates of circuit complexity in the basis of antichain functions
p. 17-23
A form of the elastic potential for a high-elastic material
p. 24-29
Simulation of the stress-strain state and evaluation of the blade loading capacity in the case of impermeability testing of engine housings
p. 29-33
Effect of evaporation and diffusion of a surface-active substance on the instability of a falling liquid film
p. 33-38
On classification of linear cocycles over ergodic automorphisms
p. 39-42
Functional limit theorem for solutions to Burgers equation with random initial data
p. 42-46
Dessin d'enfant of valency three and Cayley graphs
p. 46-49
Complexity of realization of a linear Boolean function in Sheffer's basis
p. 49-53
A simple proof of the ``geometric fractional monodromy theorem''
p. 53-57
Boundedness of normal harmonic functions
p. 57-61
Uniformity of a certain systems of functions of many-valued logic
p. 61-64
An asymptotic method for deriving the equations of the Reissner--Mindlin plate theory
p. 65-67
Using the Dirac approach to model the motion of a railway vehicle when its wheel flange climbs the rail
p. 67-71

Sommaire du Fascicule no. 3

Certain properties of Ces\`aro derivatives of higher orders
p. 3-10
Utility maximization problem in the case of unbounded endowment
p. 10-21
Each finite group is a symmetry group of some map (an ``Atom''-bifurcation)
p. 21-29
Elementary equivalence of automorphism groups of reduced Abelian $p$-groups
p. 29-34
Flow of a plastically anisotropic layer between parallel planes in a region with a sink
p. 35-38
Extremals in the kinematic control of motion
p. 38-46
Graded versions of Goldie's theorem.~II
p. 47-51
Example of a linear algebra variety with the polynomial growth lower than three
p. 51-54
Orders of growth of Shannon functions for circuit complexity over infinite bases
p. 55-57
Completeness criteria for some classes of unary monotone functions in $P_k$
p. 57-61
Simulation of viscous fluid flow with consideration of boundary outflow and pressure drop
p. 61-65
Testing the quality of control algorithms for complex dynamic systems
p. 65-68
Mathematical modeling of multiphase seepage under near-critical conditions
p. 68-72

Sommaire du Fascicule no. 4

Estimates of the dimension $(m,n)$-$\operatorname{dim}$
p. 3-7
Weakened continuity in $\Lambda$-variation and localization of double Ces\'aro means
p. 8-14
Factorization theorem for the dimension $(m,n)$-$\operatorname{dim}$
p. 14-18
The contact problem for an elastic half-plane in the case of a transonic load velocity
p. 19-23
A two-parameter model of wave regimes for viscous liquid film flows
p. 24-31
Single fault detection tests for circuits of functional elements
p. 32-34
Number of divisors of the central binomial coefficient
p. 34-38
Spectral properties of a Sturm--Liouville type differential operator with a retarding argument
p. 38-42
Expected first passage time of a distant point for countable Markov chains
p. 42-46
Mean exit time for a chain of $N=2,3,4$ oscillators
p. 46-51
Certain properties of generalized $\alpha$-formulas
p. 51-55
Distribution of random slip-line directions under inelastic deformation
p. 55-57
Refinement of a global model for the Earth's gravitational field using airborne gravimetry data
p. 57-61
A comparative analysis of methods for solving equations in the nonlinear elasticity theory
p. 61-65
Poincar\'e--Chetaev bifurcation diagrams in the problem of motion of an inhomogeneous dynamically and geometrically symmetric ellipsoid on a smooth plane
p. 66-69
Vitalii Vital'evich~Fedorchuk (01.11.1942 -- 09.12.2012)
p. 70-71

Sommaire du Fascicule no. 5

Embedding theorems for classes of functions with a dominating mixed modulus of smoothness
p. 3-9
Representation of relatively uniform and order convergence topologies by an inductive limit
p. 9-20
Simple signature based iterative algorithm for calculation of Gr\"obner bases
p. 20-25
Quadratic irrationality exponents of certain numbers
p. 25-29
The number of connected components in the preimage of a regular value of the momentum mapping for the geodesic flow on ellipsoid
p. 29-34
Prediction quality estimation for a two-phase scheme for solution of the ``structure-property'' problem
p. 34-37
Value distributions of analogues of Kloosterman's sums
p. 37-41
Certain sufficient conditions of uniformity for systems of functions of many-valued logic
p. 41-46
The explicit form of the Bertrand metric
p. 46-50
Development of the navigation theory and A.\,Yu.~Ishlinskii
p. 51-53
Mathematical simulation of correction of output signals from the gravitoinertial mechanoreceptor of a vestibular apparatus
p. 54-59
Methods of inertial gravimetry
p. 59-67
Nonholonomic motions of gyroscopic and wheeled systems
p. 67-73

Sommaire du Fascicule no. 6

Estimates of mixed norms of functions representable by double sine series with multiple-monotone coefficients
p. 3-9
Generalized Hake property for integrals of Henstock type
p. 9-13
Sets with not more than two-valued metric projection on planes
p. 14-19
$\Delta$-graphs of polytopes in Bruns and Gubeladze $K$-theory
p. 19-24
Lower complexity estimates for some sequences of functions of multivalued logic
p. 25-30
Various analogies for the equilibrium shapes of an elastic thread on two-dimensional surfaces
p. 31-36
Effective constitutive relations for inelastic composites
p. 37-42
An approximate method for integration of ordinary differential equations
p. 43-46
Basic Reed--Muller codes and their connections with powers of radical of group algebra over a non-prime field
p. 46-49
Homogeneous almost primitive elements of free non-associative (anti-) commutative algebras
p. 50-53
Classes of functions closed with respect to a special superposition operation
p. 54-57
Representations of positive integers
p. 57-59
On a nonlinear isochronous system
p. 59-63
The angle between the stress deviator and the strain-rate deviator in a tensor nonlinear isotropic medium
p. 63-66
Finite-memory digital filters to estimate laser gyroscope drifts
p. 66-69