Geodesic

Sommaire du Fascicule no. 1

Academician Andrei Nikolaevich Kolmogorov (obituary)
p. 1-2
Constant energy surfaces of~Hamiltonian systems, enumeration of~three-dimensional manifolds in~increasing order of~complexity, and computation of~volumes of~closed hyperbolic manifolds
p. 3-24
The normal form of a Hamiltonian system
p. 25-66
Linear operators that~are $T$-invariant with respect~to a~group of~homeomorphisms
p. 67-101
Automata. Walks. Games
p. 103-147
Non-classical spectral asymptotics
p. 149-192
Differential forms in spaces without a norm. A theorem on the uniqueness of Boltzmann's $H$-function
p. 193-219
Gleb Pavlovich Akilov (obituary)
p. 221-223
Samuil Davidovich Berman (obituary)
p. 225-226
On invariant lattices in Lie algebras of type $A_{q-1}$
p. 227-228
Removable singularities of solutions of parabolic equations
p. 229-230
On the non-denseness of fields of finite degree of non-robustness in the space of non-robust vector fields on closed two-dimensional manifolds
p. 231-232
Absolutes of uniform spaces
p. 233-234
Fundamental solutions of differential equations of a certain class in anisotropic spaces of generalized functions
p. 235-236
On B\"acklund transformations of evolution equations
p. 237-238
On estimates of the negative spectrum for the Schr\"odinger operator
p. 239-240
On miniversal deformations of matrices
p. 241-242
Multidimensional two-valued commutative formal groups
p. 243-244
On the arithmetic properties of a certain sequence of polynomials
p. 245-246
The Euler and Cartesian characteristics for finite polyhedra
p. 247-248
On the Cauchy problem for a first-order quasi-linear equation in the class of locally integrable functions
p. 249-250
On transport in dynamical systems
p. 251-252
On an analogue of the Wold decomposition for $\pi$-semi-unitary operators
p. 253-254
On the design of regression experiments with dependent errors
p. 255-256
The Dirichlet problem for the Poisson equation on two intersecting planes
p. 257-258
Lower bounds for complete rational trigonometric sums
p. 259-260
Vladimir Aleksandrovich Andrunakievich (on his seventieth birthday)
p. 261-263
Nikolai Mikhailovich Korobov (on his seventieth birthday)
p. 265-267
XII~School on Operator Theory in Functional Spaces
New books on mathematics

Sommaire du Fascicule no. 2

Stochastic extremal problems and the strong Markov property of random fields
p. 1-49
The hyperbolic equation method in the theory of operators of Schr\"odinger type with a locally integrable potential
p. 51-102
Functional superanalysis
p. 103-137
Konstantin Ivanovich Babenko (obituary)
p. 139-151
Sergei Nikolaevich Chernikov (obituary)
p. 153-155
On the modality and complexity of actions of reductive groups
p. 157-158
Degrees of insolubility of extensions of arithmetic by true propositions
p. 159-160
Classification of linear mappings from one pseudoeuclidean space into another
p. 161-162
A functional limit theorem for a symmetric walk in a random environment
p. 163-164
Chapman's theorem in the equivariant shape theory
p. 165-166
Monotonicity of random walks in partially ordered sets
p. 167-168
The Lie algebras $\mathfrak{gl}(\lambda)$ and cohomologies of Lie algebras of differential operators
p. 169-170
A stochastic game with complete information and without equilibrium situations in pure stationary strategies
p. 171-172
A relaxation system in the neighbourhood of a disruption point: reduction to the regular case
p. 173-174
On the rate of convergence in the limit theorem for stochastic integrals with respect to martingales
p. 175-176
A Tikhonov $G$-space not admitting a compact Hausdorff $G$-extension or $G$-linearization
p. 177-178
Embeddings of a minimal model of $k$-homotopy type in the algebra of smooth forms $\Lambda^*(M)$
p. 179-180
On limit equations for degenerate non-linear elliptic equations in Sobolev--Orlicz spaces with weight
p. 181-182
Determinism of L\'evy random fields and unitary representations of infinite-dimensional groups
p. 183-184
Some properties of classes of analytic functions on Parreau--Widom surfaces
p. 185-186
Non-Euclidean geometry of mirrors and prequantization on the homogeneous K\"ahler manifold $M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$
p. 187-188
Group symmetry in degenerate extremal problems
p. 189-190
Aleksandr Danilovich Aleksandrov (on his seventy-fifth birthday)
p. 191-199
Valentin Evgen'evich Voskresenskii (on his sixtieth birthday)
p. 201-203
Leonid Grigor'evich Mikhailov (on his sixtieth birthday)
p. 205-207
Semen Yakovlevich Khavinson (on his sixtieth birthday)
p. 209-211
Biography of Kurt G\"odel (parts~I and~II)
New books on mathematics

Sommaire du Fascicule no. 3

Asymptotic integration of singularly perturbed problems
p. 1-63
Mathematical foundations of equilibrium classical statistical mechanics of~charged particles
p. 65-116
Differential equations on~complex-analytic manifolds, and the~Maslov canonical operator
p. 117-148
Wavefronts and reflection groups
p. 149-194
Modular crystalline representations
p. 195-196
On a~theory of pseudo-differential operators on the circle
p. 197-198
On a~singular integral operator
p. 199-200
A~duality theorem of Chapman type in spaces of orthogonal representations of a~compact Lie group
p. 201-202
On the $G$-movability of $G$-spaces
p. 203-204
Cubic bipartite cyclic $4$-connected graphs without Hamiltonian circuits
p. 205-206
Singularities of complex-analytic solutions of the self-dual Yang--Mills equations
p. 207-208
Properties of a~certain linear system connected with the stability of the relaxation cycle in media with diffusion
p. 209-210
The Green function and Poisson kernels of a~parabolic problem in a~domain with a~conical point
p. 211-213
Inverse images of metric spaces under non-expanding open mappings
p. 214-215
On estimates of the bifurcation values of the parameters of a~Lorentz system
p. 216-217
A~new method in the theory of hypergeometric series and special functions of mathematical physics
p. 218-220
On the factorization problem for functions on symmetric spaces
p. 221-222
On the Hausdorff dimension of fractal basis sets arising in certain global bifurcations of flows on three-dimensional manifolds
p. 223-224
An invariant of a~submanifold transversal to a~distribution
p. 225-226
Laurent expansions and uniform approximation by solutions of elliptic systems
p. 227-228
The dimensions of the superspaces $H^p\bigl(\mathbf{P}^{n|m},\Omega_{\mathrm{ev}}^i(j)\bigr)$
p. 229-230
Normal subgroupoids and extensions of measured groupoids
p. 231-232
Mikhail Shl\"emovich Birman (on his sixtieth birthday)
p. 233-235
Meetings of the Moscow Mathematical Society
Biography of Kurt G\"odel (parts III--VI)
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics (September,~30 -- December,~9, 1987)
All-Union Algebraic Conference (L'vov)
All-Union symposium on the theory of approximation of functions
New books on mathematics

Sommaire du Fascicule no. 4

Sergei Petrovich Novikov (on his fiftieth birthday)
p. 1-10
Homological dimension theory
p. 11-63
The~correctness of~Euler's method for the factorization of~the sine function into an~infinite product
p. 65-94
New methods in~general topology connected with forcing
p. 95-110
Dimension type characteristics for~invariant sets of~dynamical systems
p. 111-151
Topological analysis of the structure of hydrodynamic flows
p. 153-190
Anatolii Mikhailovich Vasil'ev (obituary)
p. 191-193
Vladimir Gennadievich Sprindzhuk (obituary)
p. 195-197
Finite group schemes of period $p$ over a~discrete valuation ring
p. 199-200
Unitary equivalence of Hamiltonians in a~Fock space
p. 201-202
The kernel space of a~Witt algebra
p. 203-204
Asymptotic properties of random transformations
p. 205-206
On~the topology of a~dual object and exponential Lie groups
p. 207-208
Goldbach's ternary problem and the Goldbach--Waring problem with prime numbers lying in intervals of special form
p. 209-210
An~infinite series of local conservation laws of Miura type for higher Benney equations
p. 211-212
On~smoothing of maps in normed spaces
p. 213-214
Classification of stable rank~$2$ reflexive sheaves on~$P^4$ with~$C_2\leqslant 2$
p. 215-216
On~quantum motion integrals
p. 217-218
On~the~eigenvalues of a~perturbed almost periodic operator that are immersed in the continuous spectrum
p. 219-220
Necessary second-order conditions for optimality in problems with delays in controls
p. 221-222
Procedures of~stochastic approximation in~statistics of~semimartingale type of~processes
p. 223-224
An~averaging principle for parabolic equations (``fast variable -- $\mathcal J$-flow'')
p. 225-226
On~the length of the nodal curve of an~eigenfunction of the Laplace operator
p. 227-228
Quotient representations of the infinite spin-symmetric group
p. 229-230
On~smooth linearization of systems of differential equations in a~neighbourhood of a~saddle singular point
p. 231-232
The~category characteristic of a~hyperspace
p. 233-234
Ramification divisor of the Gauss map for a~$\Theta$-divisor of the intermediate Jacobian of the double $P^3$ of index~$2$ with a~singularity
p. 235-236
The Phragm\'en--Lindel\"of principle for quasi-linear divergent higher order elliptic equations
p. 237-238
On~a~bicyclic self-adjoint algebra in a~Krein space that is non-isomorphic to its own commutator-group
p. 239-240
Dmitrii Nikolaevich Zubarev (on his seventieth birthday)
p. 241-243
Aleksandr Fedorovich Lavrik (on his sixtieth birthday)
p. 245-247
Solomon Grigor'evich Mikhlin (on his eightieth birthday)
p. 249-251
Petr Lavrent'evich Ul'yanov (on his sixtieth birthday)
p. 253-264
Joint sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics and of the Moscow Mathematical Society (eleventh session, 18--21~January~1988)
Workshop ``Contemporary Problems of the Theory of Functions''
Sukhumi workshop on the methods of complex analysis and integral equations
Workshop on algebraic geometry

Sommaire du Fascicule no. 5

Sergei L'vovich Sobolev (on his eightieth birthday)
p. 1-18
Generalized functions over the field of~$p$-adic numbers
p. 19-64
Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
p. 65-119
Spectral and stabilized asymptotic behaviour of solutions of non-linear evolution equations
p. 121-164
On the symmetries of evolution equations
p. 165-204
On~the concept of the rank of a~spherical homogeneous space
p. 205-206
On~quotient surfaces of~$P^2$ by a~finite group
p. 207-208
On~the $C^r$-closing lemma on~surfaces
p. 209-210
Singularities of~waves of~ surface type
p. 211-212
The~abstract simplicity of groups of type~$\mathrm D_n$ over number fields
p. 213-214
Remarks on the Dirichlet problem for an~ultrahyperbolic equation and integral geometry on the sphere
p. 215-216
Homotopy classification of a~certain set of multidimensional boundary-value problems of~oblique derivative type
p. 217-218
Pseudocharacters on~free groups and on~certain group constructions
p. 219-220
A~family of~representations of~affine Lie algebras
p. 221-222
Moment estimates for integrals of $\rho$-mixing random fields
p. 223-224
On~closed characteristics of 2-forms
p. 225-226
On~the characteristic frequencies of a~clamped plate with adjoined mass
p. 227-228
The asymptotic behaviour of~eigenvalues and eigenfunctions in~problems on vibrations of a~medium with singular perturbation of the density
p. 229-230
The inverse scattering problem for the wave equation on the line with discontinuous velocity
p. 231-232
On~the symmetry of the properties of a~linear operator and its~adjoint
p. 233-235
More precise uniform estimates of~oscillatory integrals and~areas
p. 236-238
Matroids and the theorems of~Whitney on~$2$-isomorphism and planarity of~graphs
p. 239-241
Singular vectors and invariant operators
p. 242-243
A~criterion for absolute disconjugate stability for $n$th-order equations
p. 244-245
On~convergence in~distribution of~certain classes of~stochastic integrals
p. 246-247
On~orthonormal polynomial bases in~weighted Lebesgue spaces
p. 248-249
On~solubility of~certain non-coercive boundary-value problems for elliptic equations
p. 250-251
Algebro-geometric construction of~self-similar solutions of~the~Whitham equations
p. 252-253
On~the~normal cohomological dimension of~open subsets of~completely regular spaces
p. 254-255
$L$-functions and the class number of~cyclotomic fields
p. 256-257
On~differentiability of a~Hammerstein operator and on~Hammerstein equations
p. 258-259
A~remark on~computation of the Arnol'd--Maslov class for Liouville tori in~co-tangent bundles
p. 260-261
On~nilpotence, in the sense of Mal'tsev, of a~wreath product of semigroups
p. 262-263
On~bifurcations of a~homoclinic ``figure eight'' of a~multi-dimensional saddle
p. 264-265
Singularities and normal forms of even-dimensional Pfaffian equations
p. 266-267
Meetings of the Moscow Mathematical Society
New books on mathematics
Letter to the~Editor

Sommaire du Fascicule no. 6

The life and work of~Andrei Nikolaevich Kolmogorov
p. 1-39
Memories of~A.\,N.~Kolmogorov
p. 41-42
A~few words on~Andrei Nikolaevich Kolmogorov
p. 43-44
A.\,N.~Kolmogorov's pedagogic legacy
p. 45-88
Letters of~A.\,N.~Kolmogorov to~A.~Heyting
p. 89-93
The~Kolmogorov calculus as a~part of~minimal calculus
p. 95-110
Kolmogorov's ideas in the~theory of~operations on~sets
p. 111-155
A.\,N.~Kolmogorov~-- the~founder of~the theory of~reversible Markov processes
p. 157-182
Kolmogorov as historian
p. 183-191
From autobiographical notes
p. 193-209
On the scientific heritage of A.\,N.~Kolmogorov
p. 211-212
Two decades of~applied Kolmogorov complexity.