Geodesic

Sommaire du Fascicule no. 1

Existence and asymptotics of poles with small imaginary part for the Helmholtz resonator
p. 1-72
Estimates with constants for some classes of oscillatory integrals
p. 73-145
Secants of Abelian varieties, theta functions, and soliton equations
p. 147-218
The Alexander polynomial in several variables can be expressed in terms of the Vassiliev invariants
p. 219-221
On free boundary problems arising in probability theory (existence theorems)
p. 222-223
On a~solution of the van der Pol equation
p. 224-225
Algebraic properties of two-dimensional difference operators
p. 226-227
On the calculation of probability characteristics of some optimal stopping times
p. 228-229
Birational automorphisms of algebraic threefolds fibred by cubic surfaces
p. 230-231
Yurii Alekseevich Mitropol'skii (on his 80th birthday)
p. 233-236
Corrections from V. S. Balaganskii and L. P. Vlasov

Sommaire du Fascicule no. 2

Dobrushin's works on Markov processes
p. 239-243
Information theory in Dobrushin's scientific activity
p. 245-249
R.\,L.~Dobrushin -- one of the founders of modern mathematical physics
p. 251-256
Dynamical aspects of statistical physics in Dobrushin's works
p. 257-264
Dobrushin's ideas in the theory of queuing networks
p. 265-269
Polynomials of special form over a~finite field with maximum modulus of the trigonometric sum
p. 271-284
Gibbsian description of ``non-Gibbsian'' fields
p. 285-297
Interacting strings of symbols
p. 299-326
Limit diffusion process for a~non-homogeneous random walk on a~one-dimensional lattice
p. 327-340
Strong convexity of pressure for spin lattice systems
p. 341-347
On error-free filtering of some stationary processes
p. 349-358
Distribution of the maximum of a~fractional Brownian motion
p. 359-378
Limit distribution of the energy of a~quantum ideal gas from the viewpoint of the theory of partitions of natural numbers
p. 379-386
On a~criterion for uniform boundedness of normalized eigenfunctions of the Sturm--Liouville operator with a~positive weight function on a~finite interval
p. 387-389
On cohomologies with coefficients in a~local system close to a~trivial one
p. 390-391
Perturbation theory with convergent series for functional integrals with respect to the Feynman measure
p. 392-393
On the rationality of Hilbert series of relatively free algebras
p. 394-395
Exact solution of an optimal control problem of investment in a~diffusion model
p. 396-397
Frobenius $k$-characters and $n$-ring homomorphisms
p. 398-399
On a~boundary-value problem connected with the reaction of a~half-space to a~short laser pulse
p. 400-401
Four-dimensional Lorentz homogeneous insoluble Einstein spaces
p. 402-403
Equivariantly closed extensions for the standard action of an orthogonal group
p. 404-406
The Hilbert--Smith conjecture for H\"older actions
p. 407-408
The averaging of local field-theoretic Poisson brackets
p. 409-411
Spectrally stable relations
p. 412-413
Extended centroid of a~ring of skew polynomials
p. 414-415
The structure of optimal investment strategy on the futures market
p. 416-417
Elliptic genus for manifolds with an action of the group $\mathbb Z/p$
p. 418-419
Infinite-dimensional generalized continued fractions, quadratic residues and non-residues, and ergodic theory
p. 420-421
Definability of the set of all true propositions of arithmetic by passage to the limit
p. 422-423
Hereditary $\pi$-injective rings
p. 424-425
Homologies of complexes of doubly connected graphs
p. 426-427
Lie algebroids and homological vector fields
p. 428-429
Asymptotics of the spectrum of the Laplace--Beltrami operator on tori with Liouville and infra-Liouville metrics
p. 430-431
Varieties of Lie superalgebras of polynomial growth
p. 432-433
On the absence of a~complementary first integral in a~special case of Suslov's problem
p. 434-435
Dmitrii Viktorovich Anosov (on his 60th birthday)
p. 437-445
Semen Samsonovich Kutateladze (on his 50th birthday)
p. 447-450
In memory of Ronald L'vovich Dobrushin
International Conference ``Complex analysis, Differential Equations, and Related Questions''
Meetings of the St.~Petersburg Mathematical Society

Sommaire du Fascicule no. 3

Some questions of the spectral theory of discrete operators with quasiperiodic coefficients
p. 451-499
Analytic ``boundary-value'' problems on the plane
p. 501-550
Infinite-dimensional non-linear ordinary differential equations and the KAM theory
p. 551-604
On the question of maximal rate of growth of the system of eigenfunctions of the Sturm--Liouville operator with a~continuous weight function on a~finite interval
p. 605-606
Sign tests in the simplest auto-regression with coefficient from~$\mathbb R^1$
p. 607-608
On self-injective semigroup rings
p. 609-610
Obstructions to the construction of pseudoholomorphic maps
p. 611-612
On the class of functions representable by a~Cauchy--Stieltjes type integral in a~region
p. 613-614
Diffusion approximations and variation of conditions of ergodicity under identical queuing
p. 615-616
On third-order Poisson brackets of differential geometry
p. 617-618
On the spectra of finite submatrices of infinite irreducible matrices
p. 619-620
Spatial topographical systems of Poincar\'e and comparison systems
p. 621-622
Deformations of multivalued groups
p. 623-624
Meetings of the Moscow Mathematical Society
p. 625-630
Semen Yakovlevich Khavinson (on his 70th birthday)
p. 631-633
Aleksei Fedorovich Leont'ev (1917--1987) (on the 80th anniversary of his birth)
p. 635-637
II International Conference ``Differential Equations and Their Applications''

Sommaire du Fascicule no. 4

$GG$-functions and their relation to general hypergeometric functions
p. 639-684
Dual extremal problems and their applications to minimax estimation problems
p. 685-720
New progress in the theory of homogeneous flows
p. 721-818
Regular maps with automorphism group $PSL_2(q)$
p. 819-821
Infinite-dimensional stochastic Schr\"odinger--Belavkin equations
p. 822-823
Ergodic properties of invariant measures of a~fibre bundle in a~one-dimensional model of drilling
p. 824-825
On Thurston signatures
p. 826-827
Calculation of the high and low prices of European-type options
p. 828-829
Non-commutative complete intersections and the homology of a~Shafarevich complex
p. 830-831
Independence of the partial axiom of choice of intuitionistic set theory
p. 832-833
The structure of a~$C^*$-algebra and its supply of projective Hilbert modules
p. 834-835
On non-trivially decomposable types
p. 836-837
On boundary-value problems in domains perforated along manifolds
p. 838-839
On some properties of orthogonal polynomials in several variables
p. 840-841
An asymptotic subcone of the Lobachevskii plane as a~space of functions
p. 842-843
On graphs embedded in a~surface
p. 844-845
Unique recovery of a~function integrable in a~strip from its integrals over circles centred on a~fixed line
p. 846-847
Semidistributive hereditary rings
p. 848-849
A~problem of optimal sequential investing
p. 850-851
Mark Iosifovich Vishik (on his 75th birthday)
p. 853-861
Yurii Ivanovich Manin (on his 60th birthday)
p. 863-873
Yuri Il'ich Khmelevskii (on his 60th birthday)
p. 875-880
Heiner Zieschang (on his 60th birthday)
p. 881-885
Contemporary methods in theory of functions and adjacent problems
International Conference, dedicated to the 90th anniversary of L.\,S.~Pontryagin birth

Sommaire du Fascicule no. 5

Pavel Sergeevich Aleksandrov
Reminiscences
p. 889-893
Geometry and topology of complex hyperbolic and Cauchy--Riemannian manifolds
p. 895-928
Some recent advances and open problems in general topology
p. 929-953
Global actions: the algebraic counterpart of a~topological space
p. 955-996
Fomenko invariants in the theory of integrable Hamiltonian systems
p. 997-1015
On the Higson--Roe corona
p. 1017-1028
Classification of sufficiently large three-dimensional manifolds
p. 1029-1055
Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds
p. 1057-1116
Vladimir Igorevich Arnol'd (on his 60th birthday)
p. 1117-1139

Sommaire du Fascicule no. 6

Extrinsic geometry of strongly parabolic multidimensional submanifolds
p. 1141-1190
Quantum computations: algorithms and error correction
p. 1191-1249
Newton polygons, curves on torus surfaces, and the converse Weil theorem
p. 1251-1279
Vasilii Vasil'evich Chernikov (obituary)
p. 1281-1282
A~problem on the asymptotics of normalized eigenfunctions of the Sturm--Liouville operator on a~finite interval
p. 1283-1284
On the geometry of conformally semi-flat generalized Hermitian surfaces
p. 1285-1286
An addition formula for the first semi-integral Pontryagin class in complex cobordism
p. 1287-1288
The duality of the generalized Calogero and Ruijsenaars problems
p. 1289-1291
The embedding of graphs in hypercubes and cubic lattices
p. 1292-1293
Laplace transforms and simplicial connections
p. 1294-1295
On a~problem of O.\,A.~Oleinik
p. 1296-1297
A~new proof of theorems on a~universal sequence and extremal properties of discrete measures
p. 1298-1299
On the initial jump of the free boundary in a~boundary-value problem for the semilinear heat conduction equation with absorption
p. 1300-1301
On finite continued fractions
p. 1302-1304
On the reduction of Yang--Mills instantons to Nahm's equations
p. 1305-1306
On analogues of Finn's maximum principle for solutions of parabolic equations
p. 1307-1309
On compatible Poisson structures of hydrodynamic type
p. 1310-1311
On a~theorem of M.~Hall
p. 1312-1313
A theorem of Harnack type for a family of complexly isomorphic real algebraic curves
p. 1314-1315
On the classification of elliptic fibrations with a~small number of singular fibres over a~base of genus~1
p. 1316-1317
The first initial boundary-value problem for hyperbolic systems in non-smooth domains
p. 1318-1319
The Schr\"odinger operator on graphs and topology
p. 1320-1321
On averaging of elliptic problems in perforated domains with non-periodic structure
p. 1322-1323
On the dimension in Borsuk's problem
p. 1324-1325
On the deficiency index of second-order matrix differential operators
p. 1326-1327
On some arithmetical properties of orbit codes in a~space of matrices
p. 1328-1329
The global Weierstrass representation and its spectrum
p. 1330-1332
On the distribution of eigenvectors of T\"oplitz matrices with weakened requirements on the generating function
p. 1333-1334
\'Ernest Borisovich Vinberg (on his 60th birthday)
p. 1335-1343
Valentin Evgen'evich Voskresenskii (on his 70th birthday)
p. 1345-1347
Selim Grigor'evich Krein (on his 80th birthday)
p. 1349-1350
Evgenii Yakovlevich Khruslov (on his 60th birthday)
p. 1351-1353
Meetings of the St.~Petersburg Mathematical Society
Fourth International Conference ``Mathematics. Computer. Education''
International Conference ``Stochastic and Global Analysis''
International School-Conference ``Recursion Theory and Theory of Complexity'' (WRTCT'97)
Second Kazan' School-Conference ``Algebra and Analisys''
Tambov School-Seminar on Harmonic Analysis