Geodesic

Sommaire du Fascicule no. 1

Connected components of spaces of Morse functions with fixed critical points
p. 3-12
The Poisson limit theorem for high extrema of a time series with seasonal component and monotone trend
p. 12-17
Improvement of the Ul'yanov inequality for mixed moduli of smoothness for functions with lacunary Fourier coefficients
p. 18-24
Square exponent of irrationality of $\ln 2$
p. 25-30
Bernoulli shifts and local density property
p. 31-37
Basic relations of photoelasticity
p. 38-41
Stability of bars with variable rigidity compressed by a distributed force
p. 41-47
Hamiltonian systems under small nonautonomous perturbations
p. 47-53
Integer lattices of the action variables for the generalized Lagrange case
p. 54-58
Closed classes of the three-valued logic generated by systems containing symmetric functions
p. 58-62
Compatibility conditions and equations of motion in the linear micropolar theory of elasticity
p. 63-66
Optimal synthesis in the time minimization problem under phase constraints
p. 67-71

Sommaire du Fascicule no. 2

A model of point configurations given by a semiparametric interaction
p. 3-8
The additivity criterion for finite metric spaces and minimal fillings
p. 8-11
Henstock type integral in compact zero-dimensional metric space and quasi-measures representations
p. 11-17
Computable measures coprojection consistent with ordering relation is not necessarily computable
p. 17-20
Two-sided estimates for essential height in Shirshov's Height Theorem
p. 20-24
A method for synthesis of easily-testable circuits in some basis admitting single fault detection tests of constant length
p. 24-29
Some properties of Kagi and Renko moments for Brownian motion
p. 29-34
A crack on the interface between a linear elastic medium and a stress-state dependent physically nonlinear medium
p. 35-40
A ``telescopic'' system in the calibration problem for strapdown inertial navigation systems
p. 40-43
Thermocapillary drift velocity and effective thermal conductivity of a suspension
p. 43-47
Robustness of GM-tests in autoregression against outliers
p. 48-51
Uniform estimator of the extremal index of stochastic recurrent sequences
p. 51-55
Optimization of a dividend strategy of an insurance company continuing its work after the ruin
p. 55-57
Estimates of polynomials of some $g$-adic numbers
p. 58-59
Surface waves under constrained deformation
p. 59-62
Finite-memory digital filters based on polynomial approximation
p. 62-65
Cavitation interaction between fluid counterflows
p. 65-69
Euler composition on dynamics of a material point
p. 69-71

Sommaire du Fascicule no. 3

Two-side estimates of the number of fixed points of a discrete logarithm
p. 3-8
Maximal branching processes with several types of particles
p. 8-13
The split weight and divisibility degree of topological products
p. 13-18
Limit theorems for maxima of some dependent random sums
p. 18-23
Formation, evolution, and decay of a vortex street in the wake of a streamlined body
p. 24-32
Comparing the efficiency of rectangular and triangular submarine sails
p. 32-35
Nonlinear equations of motion for orthotropic plates
p. 36-39
Robustness of sign tests in autoregression
p. 40-43
Metric properties of poncelet polygonal lines
p. 43-47
Uniform approximation by polynomials on compacta of special form
p. 47-51
Supports of $(\mathfrak g,\mathfrak k)$-modules of finite type
p. 51-55
A power function of statistical tests dependent on elementary symmetric polynomials
p. 55-58
Inversion complexity of self-correcting circuits for a certain sequence of Boolean functions
p. 58-61
Belyi pairs corresponding to dessins d'enfants of genus~$3$
p. 62-64
Flows of a Bingham--Ilyushin viscoplastic medium in a symmetric channel of variable width
p. 65-67
Self-similar solution of the hydraulic fracture problem for two closely spaced beams
p. 67-70
Surface waves in nematic liquid crystals
p. 70-72

Sommaire du Fascicule no. 4

Morse linear functionals on orbits of adjoint action of semisimple Lie groups
p. 3-8
Two-phase queuing system with unreliable servers
p. 8-14
Special framed Morse functions on surfaces
p. 14-20
Complexity of realization of functions from a class of three-valued logic by formulas of special type
p. 20-26
Exact inequalities for the maximum of a skew Brownian motion
p. 26-31
Possibility of visual control by gaze direction
p. 32-36
Temperature field formation in a planet due to tidal deformations
p. 36-43
Complete list of first integrals for dynamic equations of motion of a solid body in a resisting medium with consideration of linear damping
p. 44-47
Paradigm of max-factor and finite-dimensional representation of Lie algebras
p. 48-50
Tauberian conditions connecting Cesaro and Riesz discrete means methods
p. 50-55
A closeness estimate for probability distribution and its zero bias transformation
p. 55-58
Behavior of the Shannon function for some families of classes of three-valued logic functions
p. 58-61
Normal functors on the category of paracompact $p$-spaces and their perfect mappings
p. 61-63
Calibration of a ready-mounted strapdown inertial navigation system on a low-accuracy turntable with one degree of freedom
p. 64-66
Stability of flow of a nonlinear viscous power-law hardening medium in a deformable channel
p. 67-70
Maximum of action for Hamiltonian systems with unilateral constraints
p. 70-72
Vladimir Vasil'evich Aleksandrov (to 70th anniversary)
p. 73-74

Sommaire du Fascicule no. 5

One-dimensional minimal fillings with negative edge weights
p. 3-8
Equivalent conditions of polynomial growth of a variety of Poisson algebras
p. 8-13
Generic planes conjecture
p. 13-19
Almost primitive elements of free nonassociative (anty)commutative algebras of small rank
p. 19-24
Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem
p. 24-30
Description of singularities for system ``billiard in an ellipse''
p. 31-34
Motion of a sphere colliding with a rough surface
p. 35-39
Similarity parameters and simulation of plate vibrations in a supersonic gas flow
p. 39-45
Monotone matrix maps and Skolem--Noether theorem
p. 46-49
Variety of Jordan algebras $\operatorname{var}\bigl(UT_2(F)^{(+)}\bigr)$ has almost polynomial growth
p. 49-52
Arithmetic properties of certain polyadic series
p. 52-54
Unsteady viscometric circular flows of a viscoplastic medium in an annular gap
p. 54-57
Homogenization of nonlinear problems in the mechanics of composites
p. 58-62
Collapse of a single bubble in a Shvedov--Bingham fluid under pulsating external pressure
p. 62-64
Adequacy of a nonlinear theory of viscoelasticity
p. 65-69
Vladimir Vasil'evich Aleksandrov (to 70th anniversary)
p. 70-71

Sommaire du Fascicule no. 6

Examples of divergent Fourier series for a wide class of rearranged Walsh--Paley system
p. 3-8
Construction of generator polynomials for residue codes of degrees $5$--$8$
p. 9-15
Bounded strict solar property of strict suns in the space $C(Q)$
p. 16-19
Unsteady expansion of thick-wall spherical and cylindrical viscoplastic shells
p. 20-25
General solutions of weakened equations in terms of stresses in the theory of elasticity
p. 26-32
Double trigonometric series with lacunary constant sign coefficients
p. 33-35
Feynman integrals of functionals of exponential form with a polynomial exponent
p. 35-38
Laws of rolling simplexes (feild equations according to Tycho Brahe)
p. 38-42
Complexity of realization by formulas of special form for functions of multivalued logic
p. 42-46
Two-phase queueing system with unreliable servers under heavy load
p. 47-50
Short exponential sums with a non-integer power of a natural number
p. 51-55
Depth of Boolean functions realized by circuits over an arbitrary infinite basis
p. 55-57
Free transverse oscillations of elastic beams with locally concentrated inhomogeneities
p. 57-58
Stress state with the least resistance to plastic deformation
p. 59-62
One-dimensional flow of a fluid through a porous skeleton with consideration of the Darcy and frontal pressure interaction forces
p. 62-66
G.\,I.~Petrov -- scientist, science manager and pedagogue (to hundred anniversary)
p. 67-68