Geodesic

Sommaire du Fascicule no. 1

Some problems in approximation theory and numerical analysis
p. 1-30
Hyperbolic reflection groups
p. 31-75
Spectral theory of random matrices
p. 77-120
The main properties of random graphs with a~large number of vertices and edges
p. 121-198
Ivan Evgen'evich Bazilevich (obituary)
p. 199-201
The computational complexity of the Needing invariant of explosive maps of the interval
p. 203-204
The global dimension of certain proper classes
p. 205-206
The dual analogue of spaces that are $\Phi G_\delta$-closed in the Smirnov compactification
p. 207-208
The attractor of a~certain quasi-linear system of differential equations with visco-elastic terms
p. 209-210
On the conjugacy of a~certain class of homogeneous endomorphisms to the class of piecewise-monotonic maps
p. 211-212
The Toda chain in the thermodynamical limit
p. 213-214
Simple Lie algebras with a~subalgebra of codimension one
p. 215-216
A~quotient of periods other than a~power of two leads to chaos in a~neighbourhood
p. 217-218
On polynomial operator equations with integro-differential right-hand side
p. 219-220
Diffeomorphisms of two-dimensional manifolds with spatially situated basic sets
p. 221-222
On a certain class of smooth matrix-valued functions
p. 223-224
On a problem of Borsuk
p. 225-226
On perfect restrictions of maps
p. 227-228
A~criterion for the quasi-regularity of an operator induced by a~quasi-differential expression
p. 229-230
On the solubility of a~certain class of non-coercive boundary-value problems
p. 231-232
Projectivity and $\mathscr D$-affinity of flag supermanifolds
p. 233-234
A solution of the $\overline\partial$-equation with an estimate in tubular domains
p. 235-236
A problem on free periodic vibrations of a~string with non-monotone non-linearity
p. 237-238
Homotopy classification of a~certain type of homogeneous spaces
p. 239-240
Limit distributions for random walks in a~one-dimensional random environment
p. 241-242
The Kuga--Satake variety of a~Kummer surface
p. 243-244
The multiplicities of the irreducible components in permutation representations of finite groups
p. 245-246
Reflexive subspaces of~$L_1$
p. 247-248
Two remarks on graded nilpotent classes
p. 249-250
Vladimir Vasil'evich Golubev (on the centenary of his birth)
p. 251-255
II~International conference of foreign graduate students of Moscow State University
Meetings of the Ural Mathematical Society
IV~School on the Theory of Finite Groups
Second Saratov Winter School on the Theory of Functions and Approximations
New books on mathematics

Sommaire du Fascicule no. 2

Real-analytic hypersurfaces in complex manifolds
p. 1-35
Calculus of variations in the large and classical mechanics
p. 37-71
The method of averaging and walks in inhomogeneous environments
p. 73-145
Boundary equations with projections
p. 147-183
Shape theory for $G$-pairs
p. 185-203
On uniform algebras containing~$A(K)$
p. 205-206
Sufficient conditions for an extremum in problems of controlling the coefficients of elliptic operators
p. 207-208
Necessary conditions for a strong minimum in optimal control problems with degeneracy of the end-point and phase constraints
p. 209-210
The Stone--\v Сech compactification and multi-valued extensions of functions
p. 211-212
On extensions connected with group $C^*$-algebras
p. 213-214
On the choice of a subsystem of convergence in a~given orthonormal system
p. 215-216
Absolutes of compact groups
p. 217-218
Algebro-geometrical and number-theoretical packings of balls in $\mathbb R^N$
p. 219-220
Differential operators on fiber spaces
p. 221-222
On pseudocompactness
p. 223-224
On a differential property of solutions of second-order elliptic equations
On the Luzin--Yankov theorem and the general theory of selections
p. 226-227
On multiple coverings by $n$-dimensional simplexes
p. 228-229
The splitting problem for pure extensions of Abelian groups and axiomatic set theory
p. 230-231
The resolvent and the spectral functions of sample covariance matrices of increasing dimension
p. 232-233
On curvatures of curves in a~metric space
p. 234-235
On the existence of solutions of certain functional and integral equations
On the limiting behaviour of the likelihood ratio for semimartingales
p. 237-238
Stochastic equations: the Fr\'echet derivative with respect to a~parameter
p. 239-240
A generalization of Bertini's theorem on the index of a~prime ideal in the ring~$O_a$
p. 241-242
Bifurcations of two-dimensional dynamical systems close to a~system with two separatrix loops
p. 243-244
On strict and non-strict inequalities in conditions for the Cauchy problem to be well-posed
p. 245-246
Boris Moiseevich Levitan (on his seventieth birthday)
p. 247-249
Evgenii Sergeevich Lyapin (on his seventieth birthday)
p. 251-253
Meetings of the Leningrad Mathematical Society
VI Baltic Conference on Contemporary Problems of Differential Geometry and their Applications
Fifth school on numerical decision of problems of mathemathical physics and approximation theory
New books on mathematics

Sommaire du Fascicule no. 3

Nikolai Nikolaevich Luzin (on the 100th anniversary of his birth)
p. 1-4
A pupil on his teacher
p. 5-7
Preface to Luzin's book ``Le\c cons sur les ensembles analytiques et leurs applications'' [Lectures on analytic sets and their applications]
p. 9-14
Luzin's work on the metric theory of functions
p. 15-77
N.\,N.~Luzin and the theory of boundary properties of analytic functions
p. 79-95
Luzin's contribution to the descriptive theory of sets and functions: concepts, problems, predictions
p. 97-134
The development of the descriptive theory of sets under the influence of the work of Luzin
p. 135-180
Modifications of functions and Fourier series
p. 181-224
Everywhere dense subspaces of products of topological spaces with special properties
p. 225-226
Invariants of elementary singular points in a~plane
p. 227-228
A condition of regularity of complex films
p. 229-230
A homotopy classification of shifts of a~closed curve close to itself
p. 231-232
An algebraic characterization of interval lattices
p. 233-234
The growth of a two-dimensional minimal surface
p. 235-236
On a~problem with an unknown boundary for elliptic equations
p. 237-238
On~constructive and enumerable sets
p. 239-240
The coefficient of wave propagation through a~one-dimensional random medium
p. 241-242
Some remarks on Hamiltonian flows on homogeneous spaces
p. 243-244
The attractor of the equation of oscillations of a~thin elastic rod
p. 245-246
The uniqueness of the metric fibration of the 3-sphere
p. 247-248
On the 70th anniversary of Luzin function theory seminar
All-Union function theory school in celebration of the 100th birthday of academician N.\,N.~Luzin
New books on mathematics

Sommaire du Fascicule no. 4

International conference ``Modern Problems of Algebra and Analysis''
p. 1-2
Address by Academician N.\,N.~Bogolyubov at the opening session of the~conference
p. 3-6
Iteration of holomorphic maps
p. 7-11
Conservation laws for non-linear equations
p. 13-24
Identification of noisy systems
p. 25-42
Explicit results on the arithmetic of curves of higher genus
p. 43-48
Minimal total curvature, a~look at old and new results
p. 49-55
Some questions in the optimal control of distributed systems
p. 57-72
Applications of categorical algebra
p. 73-80
About teaching the subject of algebra at school
p. 81-83
The geometry of conservative systems of hydrodynamic type. The method of averaging for field-theoretical systems
p. 85-98
Abelian and Tauberian theorems for Stieltjes transforms of distributions
p. 99-113
On sign systems
p. 115-119
Twistor geometry and classical field theory
p. 121-128
Cocycles of the group of currents and the quantum theory of Yang--Mills fields
p. 129-133
Algebraic surfaces with extreme Chern numbers (report on the thesis of Th.~H\"ofer, Bonn,~1984)
p. 135-145
Free commutative quasi-regular algebras and algebras without quasi-regular subalgebras
p. 147-148
The Nielsen numbers of maps of nil-manifolds
p. 149-150
On the problem of extending the topologies of a~group and a~ring to their group ring
p. 151-152
On computational proofs and mathematical experiments on computers
p. 153-154
Derivation of perfect lattices from admissible centerings
p. 155-156
On the problem of the extremum of discontinuous maps
p. 157-158
The distribution of rounding errors in numerical algorithms realized on computers
p. 159-160
Topological analysis of Steklov's integrable cases
p. 161-162
Analytic methods in bifurcation theory
p. 163-164
A generalization of Keldysh's construction of a~monotone map of a~cube onto a~cube of higher dimension
p. 165-167
On supersoluble almost Abelian $A$-groups satisfying the minimum condition
p. 168-169
Approximation by algebraic polynomials on simplexes
p. 170-172
On an~elliptic problem with free boundary
p. 173-174
Integration of the differential cross-section of the~scattering of a~photon by an~electron with arbitrary momentum
p. 175-176
On the theory of linear equations of Fuchsian type
p. 177-178
Remarks on a~theorem of~Keldysh--Lavrent'ev
p. 179-180
On the representation of functionals on a~Wiener field
p. 181-182
On the equilibrium problem for vector potentials
p. 183-184
The $ K$-theory of special normed algebras
p. 185-186
Ill-posed problems and divergent processes
p. 187-188
On functions determined by central exponents of high order
p. 189-190
On the real zeros of the function $\zeta(1/2+it)$
p. 191-192
Precise H\"older exponents for a generalized solution of the Dirichlet problem for the biharmonic equation that are defined by the geometry of the domain
p. 193-194
Duality of extremal problems in function spaces and approximation of functions
p. 195-196
The method of a~small parameter in flows of a~gas containing dust
p. 197-198
The regular formalization of the~basic concepts of the~quasidifferential calculus
p. 199-200
An analytical description of the set of enduring trajectories of a~differential system
p. 201-202
Poincar\'e series and an extension of the Lehmer conjecture
p. 203-204
On central exponents of diffeomorphisms
p. 205-206
Investigation of the solution of a~non-linear equation of gravitation theory
p. 207-208
Equivariants in the category of Markov maps
p. 209-210
On Schr\"odinger's equation with a generalized potential
p. 211-212
A new axiomatic approach in the theory of operator algebras
p. 213-214
Estimates of integral representations in a~future tube
p. 215-216
Averaging of quasilinear elliptic problems in perforated domains
p. 217-218
On the number of irreducible polynomials in $F_q[x]$ of special form
p. 219-220
A~question in the mathematical theory of discrete Boltzmann equations
p. 221-222
Quadrature formulae and recovery of number-theoretical nets from nodal values for classes of functions with small degree of smoothness
p. 223-224
Generalized convolutions
p. 225-226
The comparison principle in mathematical systems theory
p. 227-228
Extension of the germ of a~holomorphic map of a~strictly pseudo-convex surface
p. 229-230
On Poisson brackets of hydrodynamic type with a~degenerate metric
p. 231-232
Halmos algebras and axiomatizable classes of quasi-groups
p. 233-234
On injective Boolean spaces
p. 235-236
On the measure of algebraic independence of the values of an~elliptic function at algebraic points
p. 237-238
On a~uniqueness theorem for martingales
p. 239-240
Extremal projections for reductive classical Lie superalgebras with a~non-degenerate generalized Killing form
p. 241-242
On the connection between complex and operator topological equivariant $K$-theories
p. 243-244
New books on mathematics

Sommaire du Fascicule no. 5

Gurii Ivanovich Marchuk (on his sixtieth birthday)
p. 1-21
The Riemann zeta function and its zeros
p. 23-82
S.\,M.~Nikol'skii and the development of research on approximation theory in the USSR
p. 83-156
On the Stefan problem
p. 157-223
A characterization of the dimension $\operatorname{dim}$ of $\mathbb R$-compacta, and universal spaces of given weight and dimension
p. 225-226
Orbital topological classification of analytic differential equations in the neighbourhood of a degenerate elementary singularity
p. 227-228
Continuous motions in the space of configurations of rigid star-shaped bodies
p. 229-230
Proof of a~theorem on relations in the two-dimensional Cremona group
p. 231-232
Local third-order Poisson brackets
p. 233-234
A theorem of Liouville type on a~Riemannian manifold
p. 235-236
On estimates of multiple trigonometric sums
p. 237-238
A counterexample in the theory of dyadic bicompacta
p. 239-240
Second-order evolution equations with symmetries
p. 241-242
Some properties of the solutions of a~class of evolution equations
p. 243-244
Asymptotic equivalence of systems of differential equations
p. 245-246
The solution of an equation involving a non-linear operator
p. 247-248
Decree of the Praesidium of the USSR Supreme Soviet on the Award of the Order of the October Revolution to Academician S.M. Nikol'skii
Sergei Mikhailovich Nikol'skii (on his eightieth birthday)
p. 251-263
Greetings to A.\,A.~Mal'tsev on his fiftieth birthday
DECREE of the Praesidium of the USSR Supreme Soviet on the award of the Order of Lenin to Comrade G.~I.~Marchuk
Ol'ga Arsen'evna Oleinik (on her sixtieth birthday)
p. 267-287
Meetings of the Moscow Mathematical Society
Joint sessions of the Petrovskii Seminar and the Moscow Mathematical Society
Sessions of the Petrovskii seminar on differential equations and mathemathical problems of physics
New books on mathematics

Sommaire du Fascicule no. 6

Dulac's memoir ``On limit cycles'' and related problems of the local theory of differential equations
p. 1-49
Orthogonal completeness and algebraic systems
p. 51-95
Varieties of lattice ordered groups
p. 97-110
Aleksei Ivanovich Barabanov (obituary)
p. 111-112
Iosif Semenovich Iokhvidov (obituary)
p. 113-115
$(\Lambda_1,\dots,\Lambda_n)$-permanents and systems of bounded representatives
p. 117-118
Covariant functors and extensors in dimension~$n$
p. 119-120
On some duality formulae for differential forms on compact Riemannian manifolds
p. 121-122
Complexification of contact structures on 3-dimensional manifolds
p. 123-124
Classical pseudodifferential operators and Egorov's theorem in the Gevrey classes $G^s$, $s>1$
p. 125-126
On local hypoellipticity of second-order operators with degenerate Levi matrix
p. 127-128
On upper and lower approximative liftings
p. 129-130
The combinatorics and geometry of del Pezzo surfaces of degree four
p. 131-132
Transition functors to a~function space in the uniform topology
p. 133-134
An algebraic isomorphism that is not topological
p. 135-136
On the structure of the set of Pareto-critical points of a~smooth map
p. 137-138
The stabilization as $t\to\infty$ of the solution of a~parabolic equation of high order, decreasing on a~set of positive measure
p. 139-140
An analogue of the Brauer--Fowler theorem
p. 141-142
Closed geodesics on non-simply-connected manifolds
p. 143-144
Constructivizable and non-constructivizable formal arithmetic structures
p. 145-146
Aleksei Georgievich Sveshnikov (on his sixtieth birthday)
p. 147-149
Andrei Borisovich Shidlovskii (on his seventieth birthday)
p. 151-153
Mathematical problems in general relativity
Ninth All-Union Symposium on Group Theory
All-Union School on complex methods in mathematical physics
III~School on history of mathematics
New books on mathematics