Geodesic

Sommaire du Fascicule no. 1

The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups
p. 1-51
Chaotic states and stochastic integration in quantum system
p. 53-116
Euler equations on finite-dimensional Lie coalgebras, arising in problems of mathematical physics
p. 117-189
Invariant measures for hyperbolic maps with singularities
p. 191-251
Revol't Ivanovich Pimenov (obituary)
p. 253-254
On $\varepsilon$-controllability of the Stokes problem with distributed control concentrated on a~subdomain
p. 255-257
Asymptotic behaviour of a~particle in a~Lorentz gas
p. 258-259
On exceptional values of the boundary phase for the Schr\"odinger equation on a~half-line
p. 260-261
Annihilators of an element of a~free Lie algebra
Canonical realization of a~partial response morphism in the class of decomposable systems
p. 263-264
A~topological classification of a~pair of spinor forms on surfaces
p. 265-266
On the embedding of cubic manifolds and complexes in a~cubic lattice
p. 267-268
Integrals in Hopf algebras
p. 269-270
Georgii Semenovich Litvinchuk (on his sixtieth birthday)
p. 271-274
Robert Adol'fovich Minlos (on his sixtieth birthday)
p. 275-277
Errata
Voronezh Winter Mathematical School ``Modern Methods in Theory of Functions and Theory of Differential Equations''
New books on mathematics

Sommaire du Fascicule no. 2

A.\,D.~Alexandrov spaces with curvature bounded below
p. 1-58
Geometry of minimal networks and the one-dimensional Plateau problem
p. 59-131
Algebraic groups and number theory
p. 133-161
Closed extremals on two-dimensional manifolds
p. 163-211
Equivalence between the regular Ann-category and the strict Ann-category
p. 213-214
Pseudocharacters of a~free subgroup invariant with respect to its endomorphisms
p. 215-216
Ward equations and self-dual connections in~$\mathbb R^8$
p. 217-218
A~refinement of theorems on the number of zeros lying on intervals of the critical line of certain Dirichlet series
p. 219-220
A~topological invariant of the Lorenz attractor
p. 221-223
A~class of filtered spaces arising in filtered statistical problems
p. 224-225
Equations of Dirichlet $L$-functions and the intervals of their Eulerian products according to prime numbers
p. 226-228
The infinitude of Burnside groups of period~$2k$ for~$k\ge 13$
p. 229-230
The Browder--Livesay groups of the dihedral group
p. 231-232
The ideal of generalized identities of the ring of $(n\times n)$-matrices over a~finite field with involution
Cohomologies with ``non-commutative supports''
p. 234-235
Second International Conference on Algebra
All-Union Conference on Number Theory, dedicated to the centennial of I.\,M.~Vinogradov
New books on mathematics

Sommaire du Fascicule no. 3

Nikolai Nikolaevich Bogolyubov (obituary)
p. 1-3
Periodic billiard trajectories in polygons: generating mechanisms
p. 5-80
Finiteness conditions and factorizations in infinite groups
p. 81-126
Factorization of evolution equations
p. 127-162
The collineation group of Hilbert's example of a~projective plane
p. 163-164
A~topological classification of the Goryachev--Chaplygin integrable case with a~generalized potential in rigid body dynamics
p. 165-166
On a~problem of combinatorial geometry
p. 167-168
Folding of Verma modules over the Lie algebra $\mathfrak{sl}(2, \mathbb C)$ and hidden
Integration of Hamiltonian systems by the method of the $\overline\partial$ -problem
p. 170-171
Proof of S.\,P.~Novikov's conjecture for the case of small perturbations of rational magnetic fields
p. 172-173
An example of non-isomorphic commutative chain rings
p. 174-175
On the maximal possible rate of growth of orthonormal eigenfunctions of a~Sturm--Liouville operator with a~continuous positive weight function
p. 176-177
On the asymptotic properties of solutions of a~second-order non-linear equation
p. 178-179
Phragm\'en-Lindel\"of theorems for elliptic equations
p. 180-181
The fundamental dimension of subcompacta
p. 182-183
Classification of flat tori that admit closed minimal nets of a~given type
p. 184-185
Pseudonormability of topological semigroup rings
p. 186-187
On a~problem with an unknown boundary in the hydrodynamics of electrically conducting media
p. 188-189
Investigation of the stability of the method of macroparticles
p. 190-191
A~flat pseudo-Riemannian structure on the tangent bundle of a~flat manifold
p. 192-193
Quaternion algebras over local rings
p. 194-195
Mikhail Mikhailovich Lavrent'ev (on his sixtieth birthday)
p. 197-200
Abdukhamid Dzhuraevich Dzhuraev (on his sixtieth birthday)
p. 201-204
Nikolai Nikolaevich Bogolyubov (photo)
Evgenii Frolovich Mishchenko (congratulation)
Meetings of the Leningrad Mathematical Society
XVI~School on Operator Theory in Functional Spaces
International Autumn School ``Topology Applications in Algebra and Differential Geometry'' in Republic of Estonia
Second ``Mathematical Readings'' in memory of M.\,Ya.~Suslin
New books on mathematics

Sommaire du Fascicule no. 4

General hypergeometric systems of equations and series of hypergeometric type
p. 1-88
Group analysis of ordinary differential equations and the invariance principle in mathematical physics (for the~150th anniversary of Sophus~Lie)
p. 89-156
Boolean constructions in universal algebra
p. 157-198
Conformally half-planar generalized K\"ahler manifolds
p. 199-200
On a~system of equations of composite type in a~multidimensional region
p. 201-203
Fubini--Veneziano fields in Verma projective quasifibrations over
p. 204-205
Enumerated graphs and their bilinear forms
p. 206-207
Sandwich subalgebras in simple finite-dimensional~Lie algebras
p. 208-209
On the structure of the symplectic group of polynomial rings over regular rings of dimension $\le 1$
p. 210-211
Differential operators in the classification of simple modular Lie algebras
p. 212-213
On a~property of the fundamental dimension of $\operatorname{UV^n}$-mappings
p. 214-215
On matrix algebras with two generators and on embedding $PI$-algebras
p. 216-217
On the conjugacy of rearrangements of two open intervals of the circle without periodic points
p. 218-219
On fixed points of a~free chromatic Lie superalgebra under the action of a~finite group of linear automorphisms
p. 220-221
On a~generalization of Eastham's theorem on a~limit point
p. 222-223
Invariant submanifolds in spaces of binary forms
p. 224-225
Topological invariants of the Hamiltonian system for the $B$-phase of superfluid Helium-3
p. 226-227
On the transcendence of values of a~subclass of $E$-functions
p. 228-229
Incidence algebras over lattices
p. 230-231
On the connection between inverse problems with final and integral overdetermination
p. 232-233
The space of paths and generalized Maslov classes of Lagrange submanifolds
p. 234-235
On the embeddability of relatively free Lie algebras
p. 236-237
Vladimir Aleksandrovich Marchenko (on his seventieth birthday)
p. 239-242
Rafail Zalmanovich Khas'minskii (on his sixtieth birthday)
p. 243-246
Errata
The Odessa All-Union school on function theory
New books on mathematics

Sommaire du Fascicule no. 5

Dmitrii Evgen'evich Men'shov (on the 100th anniversary of his birth)
p. 1-11
The representation theorems of D.\,E.~Men'shov and their impact on the development of the metric theory of functions
p. 13-47
Development of D.\,E.~Men'shov's results in the theory of orthogonal series
p. 49-70
The work of D.\,E.~Men'shov in the theory of analytic functions and the present state of the theory of monogeneity
p. 71-102
Some problems in the theory of multiple trigonometric series
p. 103-171
On the question of discrimination of hypotheses in binary partially ordered statistical experiments
p. 173-174
Engelian Hopf algebras and the quantum analogue of Serre's conjecture
p. 175-176
The asymptotics of the spectrum of non-self-adjoint degenerate systems of elliptic differential operators
p. 177-179
Representation of positive semirings by sections
p. 180-182
The flag manifold and representations of the quantum full linear group
p. 183-184
Families of stable manifolds of invariant sets of systems of parabolic equations
p. 185-186
A~method of constructing the field of real numbers in~AST
p. 187-188
Construction of noise-resistant codes by means of linear recurrences over Galois rings
p. 189-190
Construction of an invariant of the algebraic analogue of a~periodic Toda chain
p. 191-193
Classification of certain types of locally compact groups in terms of their unitary representations
p. 194-195
On right ideals of a free associative algebra, generated by free colour Lie superalgebras and (P-)superalgebras
p. 196-197
Various doublings of Hopf algebras. Operator algebras on quantum groups, complex cobordisms
p. 198-199
Boundary behaviour of a billiard trajectory in an $n$-dimensional cube
p. 200-202
On the spectrum of a~problem of Sobolev
p. 203-204
On the Fredholm property of a~manifold
p. 205-206
On the Gel'fand--Kolmogorov theorem on maximal ideals of rings of continuous functions
p. 207-208
On the properties of the solutions of a~class of differential-difference equations and certain spectral problems
p. 209-211
On the problem of the two-armed bandit with impulse controls and discounting
p. 212-213
Yurii Fedorovich Korobeinik (on his sixtieth birthday)
p. 215-217
Creating of Voronezh Mathematical Society
New books on mathematics

Sommaire du Fascicule no. 6

Complex analysis and convolution operators
p. 1-56
Canonical perturbation theory via simultaneous approximation
p. 57-133
Deformations of Poisson brackets and extensions of Lie algebras of contact vector fields
p. 135-191
Dmitrii Andreevich Gudkov (obituary)
p. 193-197
Boris Émil'evich Shapirovskii (obituary)
p. 199-201
On a~generalization of the theorem of Chernoff
p. 203-205
On the problem of diagonalizability of matrices over rings
p. 206-207
Effectivity functions and informational extensions of game forms and game correspondences
p. 208-210
The connection between the minimax eigenvalues and the maximal eigenvalues of non-negative matrices
p. 211-213
On the group of units of a~ring whose associated Lie ring is metabelian
p. 214-215
Representations of linear recurrent sequences and regular prime numbers
p. 216-218
The distribution of elements on cycles of linear recurrents over rings of residues
p. 219-221
On Lie automorphisms of simple associative algebras with involution
p. 222-223
The cohomology of a~certain class of Lie algebras
p. 224-225
Convergence of binary statistical experiments and Hellinger processes
p. 226-227
On the classical ring of quotients of Cohn--Jordan extensions
Two-sided exponential estimates of the distribution of the maximum of a~random field
p. 229-230
Structure of the $T$-ideal of generalized identities of primitive algebras with involution over a~field
p. 231-232
On asymptotic properties of optimal quadratures on Sobolev classes
p. 233-234
On maps of Stiefel manifolds with a free $\mathbb Z_p^N$-action in the manifold
p. 235-236