Geodesic

Sommaire du Fascicule no. 1

Integrability and non-integrability in Hamiltonian mechanics
p. 1-76
Topology and forcing
p. 77-136
Discontinuous groups on three-dimensional hyperbolic space: analytical theory and arithmetic applications
p. 137-168
On~$p$-bases in a Pontryagin space
On~a~class of hyperbolic Monge--Amp\`ere equations
p. 170-171
Non-Hermitian group algebras
p. 172-173
A~generalization of the oblique derivative problem
p. 174-175
On~coincidence points of two maps for manifolds with boundaries
Topological properties of homomorphisms of universal algebras
p. 177-178
A~$\mathscr C$-spectral sequence on the manifold $J^1M$
p. 179-181
Ends of Lie algebras
p. 182-184
Deformations of a Lie algebra of vector fields on the line
p. 185-186
Universal properties for sequences of bifurcations of period three
p. 187-188
An~example of a Banach $*$-algebra without identity and with no non-zero positive functionals
On~the existence of a Green's function on a manifold
p. 190-191
Fano varieties of genus~8
p. 192-193
An~asymptotic expansion of the solution of a degenerate parabolic equation with a small parameter
p. 194-195
The~geometry of $T$-recurrent manifolds
p. 196-197
The G\'arding inequality for a system of pseudodifferential operators
p. 198-199
On~some forms of movability in shape theory
p. 200-201
On~a~class of parabolic means
p. 202-203
Commutative collections of functions on orbits of finite-dimensional Lie algebras in general position
p. 204-206
$\bar\partial$-cohomology on infinitesimal neighbourhoods
p. 207-208
Examples of the non-uniqueness of the solution of the boundary-value problem for a parabolic equation in an unbounded domain
p. 209-210
Universal Fourier series
p. 211-212
A~complete asymptotic expansion of the spectral function for second-order elliptic operators in~$\mathbb R^n$
p. 213-214
Relatively-invariant Der-cohomology of modules
p. 215-216
On~properties of a perturbed elliptic operator with periodic coefficients
p. 217-218
On~the existence of non-smooth solutions
p. 219-220
Asymptotic formulae for linear functional forms in two logarithms
p. 221-222
$G$-convergence in domains with holes
p. 223-224
Two remarks on left spaces
p. 225-226
Spectral properties of an oscillatory differential operator on the line
p. 227-228
Vasilii Sergeevich Vladimirov (on~his sixtieth birthday)
p. 231-243
Meetings of the Leningrad Mathematical Society
V.\,V.~Chavchanidze, Natural and artificial intelligence (conceptual approach) (a~review)
New books on mathematics

Sommaire du Fascicule no. 2

Boundary-value problems for partial differential equations in non-smooth domains
p. 1-86
Singularities of systems of rays
p. 87-176
Nikolai Andreevich Lebedev (obituary)
p. 177-182
Increasing solutions of the Korteweg--de~Vries equation with given asymptotic behaviour
p. 183-184
Dualities in modules and the $AB5^*$ condition
On the boundedness of generalized solutions of elliptic differential equations
p. 186-187
On the theory of embedding of anisotropic Sobolev spaces
p. 188-189
On critical rings
p. 190-191
An example of a~finite semigroup without an irreducible basis of identities in the class of completely $o$-simple semigroups
p. 192-193
The asymptotic behaviour of the solution to the Cauchy problem for a~quasilinear first-order equation with a~non-convex state function
p. 194-195
An implicit function theorem for semimartingales and an application
p. 196-197
The homology of matrix Lie algebras over rings and the Hochschild homology
p. 198-199
Evgenii Mikhailovich Landis (on his sixtieth birthday)
p. 201-207
Real hypersurfaces in complex manifolds
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
V~All-Union Symposium on Ring Theory, Theory of Algebras, and Module Theory
Third School on Finite Group Theory
New books on mathematics

Sommaire du Fascicule no. 3

The~abstract Hamiltonian formalism for the classical Yang--Baxter bundles
p. 1-22
Theory of multipliers in spaces of differentiable functions
p. 23-95
Stochastic differential geometry
p. 97-125
A~probabilistic approach to hypoellipticity
p. 127-140
Obstructions to the existence of a multiplicative structure on minimal resolutions
p. 141-142
Random walks in symmetric random media
p. 143-144
On~the Bernstein--Nikol'skii and Favard inequalities on compact homogeneous spaces of rank~1
p. 145-146
The immersion of two-dimensional metrics in~$E^3$
p. 147-148
On~the weak convergence of Hilbert space-valued semimartingales to stochastically continuous processes with conditionally independent increments
p. 149-150
Some problems in the theory of polynomial operator pencils
p. 151-152
On~the homeomorphisms of spaces of probability measures of uncountable powers of compact spaces
p. 153-154
On~the behaviour of the generalized solution of the Neumann problem for a second-order elliptic equation in the neighbourhood of a boundary point
p. 155-156
Every metrizable space can be embedded in a metrizable field
p. 157-158
Normal form of the key function of the generalized Kirchhoff equation
p. 159-160
On~the hundredth anniversary of the birth of S.\,N.~Bernstein
p. 163-178
Lev Dmitrievich Kudryavtsev (on~his sixtieth birthday)
p. 179-185
Some consequences of the classification of finite simple groups
Finite permutation groups and finite simple groups
Graphs, singularities, and finite groups
Note to J.~McKay's paper ``Graphs, singularities, and finite groups''
Kleinian singularities and unipotent elements
New books on mathematics

Sommaire du Fascicule no. 4

Greetings to A.\,N.~Kolmogorov from the Moscow Mathematical Society
p. 1-3
A~few words on~A.\,N.~Kolmogorov
p. 5-7
Andrei Nikolaevich Kolmogorov (on~his eightieth birthday)
p. 9-27
Combinatorial foundations of information theory and the calculus of probabilities
p. 29-40
Aleksandrov and Kolmogorov in Dnepropetrovsk
p. 41-55
Kolmogorov and divergent Fourier series
p. 57-100
Widths and entropy
p. 101-111
Kolmogorov flow and laboratory simulation of~it
p. 113-126
Geophysical turbulence
p. 127-149
Attractors of partial differential evolution equations and estimates of their dimension
p. 151-213
Remarks on the perturbation theory for problems of Mathieu type
p. 215-233
Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction
p. 235-257
Boundary-value problems, the invariance principle, and large deviations
p. 259-290
Products of independent random operators
p. 291-318
The~law of large numbers and the law of the iterated logarithm
p. 319-326

Sommaire du Fascicule no. 5

A~mathematical description of the evolution of the state of infinite systems of classical statistical mechanics
p. 1-61
The~classification of simple knots
p. 63-117
Konstantin Konstantinovich Mardzhanishvili (on~the 80th anniversary of his birth)
p. 119-121
Nikolai Vladimirovich Efimov (obituary)
p. 123-130
Functional methods ifi ihe theory of the absolute
p. 131-132
Decomposition of dynamical systems on an interval
p. 133-134
On~the problem of weak convergence of a sequence of semimartingales to a process of diffusion type
p. 135-136
Entropy of infinite-dimensional systems of statistical mechanics with respect to a group of space-time shifts
p. 137-138
Soluble class~3 varieties of $A$-groups
Asymptotic decomposition of solutions of elliptic boundary-value problems in the case when the degenerate problem has an infinite-dimensional kernel
p. 140-141
The~differential entropy of the boundary of a random walk on a~group
p. 142-143
On~a mechanism of generating turbulence
p. 144-145
On the diameters of a class of functions of bounded variation in the space $L^q(0,1)$, $2$
p. 146-147
Estimates for a generalized solution of a mixed problem for a biharmonic equation in a neighbourhood of a boundary point
p. 148-149
Necessary conditions for the existence of heteroclinic trajectories in an integral Hamiltonian system with two degrees of freedom
p. 150-151
Spectral sequences and normal forms of Lie algebras of vector fields
p. 152-153
Some typical properties of the dynamics of rational maps
p. 154-155
A~characteristic property of the inertial tensor of a multidimensional solid body
p. 156-157
Orbits of a stationary subgroup on a pseudo-Riemannian symmetric space of rank one
p. 158-159
Affine categories
p. 160-161
On~the recovery of the distribution of a random field from incomplete configurations
p. 162-163
An~analogue of Pierce sheaves for rings with involution
p. 164-165
On~the twistor interpretation of the Green's function for a non-self-dual Yang--Mills field
p. 166-167
On~continuous transformations of metric compacta with finite turnpike sets
p. 168-169
Ol'ga Aleksandrovna Ladyzhenskaya (on~her sixtieth birthday)
p. 171-181
Joint sessions of the Petrovskii Seminar and the Moscow Mathematical Society
VII~School on Theory of Operators in Functional Spaces
Meetings of the Ural Mathematical Society
Meetings of the Siberian Mathematical Society
Third Republican Symposium on Differential and Integral Equations
New books on mathematics

Sommaire du Fascicule no. 6

Non-standard characteristics in asymptotic problems
p. 1-42
Application of methods of the theory of order-bounded operators to the theory of operators in $L^p$-spaces
p. 43-98
A~topological test space for many set-theoretical axioms
p. 99-106
Academician Ivan Matveevich Vinogradov (obituary)
p. 109-110
The~asymptotic behaviour of solutions of the first boundary-value problem of elasticity theory in domains with a finely-grained boundary
p. 111-112
On~the group-theoretical interpretation of Baker functions and $\tau$-functions
p. 113-114
Stationary measures of integrable systems in statistical physics
p. 115-116
The~approximation of classes of periodic functions of many variables
p. 117-118
On~a group of operators induced by the Schr\"odinger equation
p. 119-120
Lagrangian varieties with singularities and irreducible $\mathrm{sl}_2$-modules
p. 121-122
On~the problem of computing the subdegrees of transitive permutation groups
p. 123-124
A~factorization theorem and universal compactifications for $G$-spaces
p. 125-126
The behaviour of solutions of parabolic equations of high order in a neighbourhood of a boundary point and at infinity
p. 127-128
A~uniqueness theorem for statistical solutions of a certain non-linear hyperbolic equation
p. 129-130
Approximability of groups and group actions
p. 131-132
The averaging of boundary-value problems for elliptic equations in perforated domains
p. 133-134
On~a method of constructing examples of $M$-equivalent spaces
p. 135-136
Arithmetic of singular Del Pezzo surfaces
p. 137-138
On Weyl factors for the summability almost everywhere of orthogonal series by $(\varphi,\lambda)$-methods
p. 139-141
Greetings to L.\,S.~Pontryagin on his seventieth birthday
Greetings to S.\,L.~Sobolev on his seventieth birthday
Izrail' Moiseevich Gel'fand (on~his seventieth birthday)
p. 145-153
Sharp fronts of paired oscillatory integrals
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
Joint sessions of the All-Moscow Aleksandrov Topological Seminar and of the Moscow Mathematical Society
All-Union student mathematical competition
New books on mathematics
Meromorphic solutions of algebraic differential equations
Letter to the Editor concerning the paper ``Discontinuous groups on three-dimensional hyperbolic space: analytical theory and arithmetic applications'' by J.~Elstrodt, F.~Grunewald, and J.~Mennicke