Geodesic

Sommaire du Fascicule no. 1

The geometry of spherical curves and the algebra of quaternions
p. 1-68
Lie algebras of infinitesimal projective transformations of Lorentz manifolds
p. 69-143
Poincar\'e models, rigorous justification of the second element of thermodynamics on the basis of mechanics, and the Fermi acceleration mechanism
p. 145-189
Anti-isomorphism of endomorphism rings of modules and Morita anti-equivalence
p. 191-192
A~criterion for the topological conjugacy of Hamiltonian flows on two-dimensional compact surfaces
p. 193-194
Abelian Bloch solutions of the two-dimensional Schr\"odinger equation
p. 195-197
On lacunae in the spectrum of the three-dimensional periodic Schr\"odinger operator with a~magnetic field
p. 198-199
Topological classification of quadratic-integrable geodesic flows on a~two-dimensional torus
p. 200-201
Surfaces of constant negative curvature in Galilean space and the Klein--Gordon equation
p. 202-204
Obstruction groups to splitting along one-sided submanifolds
p. 205-207
Abelian groups of certain classes with isomorphic endomorphism rings
p. 208-210
Projective Fr\'echet modules with the approximation property
p. 211-213
A~class of hypergeometric differential equations with three parameters and the symmetry of the Appell function $F_2(1,1)$
p. 214-215
The action variable and the Poincar\'e Hamiltonian in a~neighbourhood of the critical circle
p. 216-217
The endomorphism ring of a~distributive modul
p. 218-219
The Lax--Oleinik variational principle for some one-dimensional systems of quasilinear equations
p. 220-222
On the minimum of the dilatation of pseudo-Anosov diffeomorphisms of a pretzel
p. 223-224
A~basis for free shuffle superalgebras
p. 225-226
Evgenii Prokof'evich Dolzhenko (on his sixtieth birthday)
p. 227-229
Aleksei Georgievich Sveshnikov (on his seventieth birthday)
p. 231-233

Sommaire du Fascicule no. 2

From Editorial Board
p. 235-236
Classification of Markov chains describing the evolution of random strings
p. 237-255
Optimization of the flow of dividends
p. 257-277
Thermodynamic probability theory: some aspects of large deviations
p. 279-317
A~problem of approximation using multivariate polynomials
p. 319-340
Some problems of the KAM-theory: conditionally-periodic motions in typical systems
p. 341-353
Harmonics and splines as optimal tools for approximation and recovery
p. 355-402
Self-avoiding walks in five or more dimensions: polymer expansion approach
p. 403-434
On the centre of the Sklyanin Poisson algebra
p. 435-437
The Radon--Nikod\'ym theorem for vector measures with values in a~$K$-space of measurable functions
p. 438-439
The geometry of hypersurfaces of quasi-K\"ahlerian manifolds
p. 440-441
Construction of some computational algorithms on finite sets of points in the plane
p. 442-443
A~test for non-compactness of the foliation of a~Morse form
p. 444-445
A~conditional limit theorem for a~random walk with zero drift
p. 446-448
Construction of periodic solutions in an infinite system of Fermi--Pasta--Ulam ordinary differential equations, stability, and KAM theory
p. 449-450
On the problem of invariance of the volume of a~flexible polyhedron
p. 451-452
Right inverse operators and $\varepsilon$-selections
p. 453-454
The three-particle problem in a~model of light radiation
p. 455-456
Petr Alekseevich Shirokov (on the 100th anniversary of his birth)
p. 457-459
Aleksandr L'vovich Garkavi (on his seventieth birthday)
p. 461-463
Iosif Vladimirovich Ostrovskii (on his sixtieth birthday)
p. 465-468
Avgust Petrovich Khromov (on his sixtieth birthday)
p. 469-471

Sommaire du Fascicule no. 3

The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a~rigid body
p. 473-501
The Shimura--Taniyama conjecture (d'apr\`es Wiles)
p. 503-548
Monads in the category of compacta
p. 549-574
Hyper(co)homology for exact left covariant functors and a~homology theory for topological spaces
p. 575-611
Boris Gershevich Moishezon (obituary)
p. 613-614
Complete integrability of generalized Knizhnik--Zamolodchikov equations of trigonometric type
p. 615-617
Finite $L_{\mathfrak F}$-groups for $\check S$-formations
p. 618-619
Characterization of real Coxeter--Dynkin diagrams of simple singularities
p. 620-622
Weighted minimal binary trees
p. 623-624
On a~formulation of Cauchy's problem for integro-differential equations
p. 625-626
Insolubility of the elementary theory of a~group of automorphisms in Lebesgue space
p. 627-629
Asymptotics of solutions of Neumann's problem for the equation $\Delta u-e^u=0$ in
p. 630-632
Hamiltonian formalism of multidimensional systems of hydrodynamic type having non-degenerate Lagrangian structure
p. 633-634
On disconnected co-regular simple groups
p. 635-637
Schr\"odinger's multidimensional equation for $DH$-systems
p. 638-639
Endomorphisms of distributive modules
p. 640-641
Lyudvig Dmitrievich Faddeev (on his sixtieth birthday)
p. 643-659
Meetings of the St.~Petersburg Mathematical Society
All-Russian student competition on mathematics

Sommaire du Fascicule no. 4

Symmetries of harmonic theta-functions of integral quadratic forms
p. 661-700
Characteristic classes of Lagrangian and Legendre singularities
p. 701-726
Nikolai Petrovich Kuptsov (obituary)
p. 727-729
Joint sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics and of the Moscow Mathematical Society (seventeenth session, 24--27~January~1995)
p. 731-809
Conformally plane metrics, systems of hydrodynamic type, and non-local Hamiltonian operators
p. 811-813
On the problem of the estimation of the normalized eigenfunctions of the Sturm--Liouville operator with a~positive weight function on a~finite segment
p. 814-815
On an invariant of the characteristic distribution
p. 816-817
On the almost regular Cauchy problem
p. 818-820
Polyhedra with bendings and Riemann surfaces
p. 821-823
On the lower branches of the spectrum of two fermions interacting with a~boson gas (exiton)
p. 824-825
The volume of a~pendant as a~function of the lengths of its edges
p. 826-827
Topological aspects of the study of the model of a~monopolist
p. 828-829
Splines and branched coverings
p. 830-831
A~minimax-Bayes estimate on classes of distributions with bounded second moments
p. 832-834
A series of birational automorphisms of projective spaces, connected with vector bundles on elliptic curves
p. 835-836
Ol'ga Arsen'evna Oleinik (on her seventieth birthday)
p. 837-848
School ``Contemporary methods in theory of functions and adjacent problems of mathematics and mechanics''

Sommaire du Fascicule no. 5

The Khintchine inequalities and martingale expanding sphere of their action
p. 849-904
Large deviations in power zones in the approximation by the Poisson law
p. 905-924
Rate of convergence in the functional law of the iterated logarithm with non-standard normalizing factors
p. 925-944
On normal approximation of a~process with independent increments
p. 945-961
Statistical estimation of the entropy of discrete random variables with a~large number of outcomes
p. 963-976
On large deviations for diffusion processes with measurable coefficients
p. 977-987
Large deviations for solutions of singularly perturbed stochastic differential equations
p. 989-1013
On a~generalization of stable distributions
p. 1015-1024
Three limit theorems for reduced critical branching processes
p. 1025-1043
Asymptotic expansions of the probability that the sum of independent random variables hits a~ball in a~Hilbert space
p. 1045-1063
On the correct extension of a problem of selecting the probability density under constraints on a~system of mathematical expectations
p. 1065-1084
A~minimal-degree polynomial for determining the volume of an octahedron from its metric
p. 1085-1087
On a~certain arithmetic function
p. 1088-1089
On quadratic forms over the field $\mathbb Z_2$
p. 1090-1091
On the equation for the curvature of a~curve changing in time and having a~given distribution of distinguished points on it
p. 1092-1094
On the gyrogroups of Hungar
p. 1095-1096
The Krichever--Novikov algebras and CCC-groups
p. 1097-1099
Eighth Siberian School ``Algebra and Analysis''

Sommaire du Fascicule no. 6

Spin generalization of the Ruijsenaars--Schneider model, the non-Abelian Toda chain, and representations of the Sklyanin algebra
p. 1101-1150
The Laplace method for probability measures in Banach spaces
p. 1151-1239
Irina Yakovlevna Dorfman (obituary)
p. 1241-1246
Naum Il'ich Feld'man (obituary)
p. 1247-1252
On non-local Hamiltonian operators of hydrodynamic type connected with Whitham's equations
p. 1253-1255
Construction of modules over quantum polynomials
p. 1256-1257
Local analysis of singularities of an invertible system of ordinary differential equations
p. 1258-1259
Normal forms of folded elementary singular points
p. 1260-1261
On fluctuations of Wulff's shape in a~two-dimensional Ising model
p. 1262-1264
Compact and completely bounded metric spaces and isometric embeddings
p. 1265-1266
On the distribution of eigenvalues of degenerate far from self-conjugate elliptic differential operators
p. 1267-1268
New examples of Einstein metrics on smooth manifolds
p. 1269-1270
Planar trees and their monodromy groups
p. 1271-1272
Bifurcation of auto-oscillations in a~special case, close to critical, of a~multiple pair of pure imaginary roots with a~Jordan box
p. 1273-1275
On the estimation of an autoregressive parameter on the basis of the generalized method of least squares
p. 1276-1277
On the Weierstrass cubic for hyperelliptic functions
p. 1278-1279
Kharitonov's theorem for weakly non-stationary systems
p. 1280-1281
Canonical coordinates on orbits of a~co-adjoint representation of certain semidirect products of Lie groups
p. 1282-1283
Stationary probability distributions for a~non-commutative Markov chain
p. 1284-1285
Trigonometric tensors on algebraic curves of arbitrary genus. An analogue of the
p. 1286-1287
Inequalities of the type of root inequalities for elastic multistructures
p. 1288-1289
On Abhyankar quasi-rational singularities
p. 1290-1291
Elliptic polynomials
p. 1292-1294
On homogeneous supermanifolds of dimension~$2\mid 2$
p. 1295-1296
On non-unique solubility and insolubility of an analytic infinite-dimensional ordinary differential equation of chain type
p. 1297-1298
Baire isomorphisms and dimensionality
p. 1299-1300
The existence of a~Gibbs random field for systems of particles with impulses
p. 1301-1303
A~functional view of Szemeredi's theorem. A~remark on multiple intermixing of flows
p. 1304-1305
Splines and manifolds
p. 1306-1307
Minimal topologies on acting groups
p. 1308-1310
Non-self-conjugate singular perturbations: a~model of transition from a~discrete to a~continuous spectrum
p. 1311-1313
Plane modules and distributivity
p. 1314-1315
Exactly soluble periodic two-dimensional Schr\"odinger operators
p. 1316-1317
Calculation of the cost of one American-type option
p. 1318-1320
Sergei Mikhailovich Nikol'skii (on his ninetieth birthday)
p. 1321-1327
Andrei Borisovich Shidlovskii (on his eightieth birthday)
p. 1329-1333