Geodesic

Sommaire du Fascicule no. 1

Sergei Petrovich Novikov (on his 60th birthday)
p. 1-7
Cohomology rings for smooth maps
p. 9-19
The geometry of stability regions in Novikov's problem on the semiclassical motion of an electron
p. 21-59
Moduli of Riemann surfaces, Hurwitz-type spaces, and their superanalogues
p. 61-117
Simple homotopy type of the Novikov complex and the Lefschetz $\zeta$-function of a~gradient flow
p. 119-169
Rigidity for groups with radical, cohomology of finite groups, and arithmeticity problems
p. 171-179
Anomalous transport in quasi-periodic media
p. 181-208
Signature in terms of Novikov numbers
p. 209-212
Wess--Zumino--Witten--Novikov theory, Knizhnik--Zamolodchikov equations, and Krichever--Novikov algebras
p. 213-249
A~spherical code
p. 251-253
Formalization of the notion of a ``number system''
p. 254-255
On the extension of compact-valued maps
p. 256-257
Discrete Lagrangian systems on graphs. Symplectic-topological properties
p. 258-259
Birationally rigid varieties with a~sheaf of Fano hypersurfaces
p. 260-261
On a~property of the classical zeta-function associated with the Riemann hypothesis
p. 262-263
A~direct geometric description of the $n$-dimensional Voronoi parallelohedra of second type
p. 264-265
Singular points of second-order differential equations: solutions with logarithmic terms
p. 266-268
The edge rotation group of a~composite of planar trees and wreath products of groups
p. 269-271
Sergei Petrovich Novikov (photo)
Meetings of the St.~Petersburg Mathematical Society

Sommaire du Fascicule no. 2

Braid groups and loop spaces
p. 273-350
Theory of essentially multivariate statistical analysis
p. 351-379
An analogue of the Hodge--Riemann relations for simple convex polytopes
p. 381-426
A~generating formula for solutions of the associativity equations
p. 427-429
A~canonical polynomial for the volume of a~polyhedron
p. 430-431
On Brouwer's definition of dimension
p. 432-433
Self-similar asymptotic solutions of Whitham's equations
p. 434-436
Hausdorff dimension and thermodynamic formalism
p. 437-438
A~stochastic description of finite-gap potentials
p. 439-440
The Poisson boundary for homogeneous random walks
p. 441-442
$V$-extremal solutions of the moment problem
p. 443-444
Spherical fibrations and $L$-groups
p. 445-447
Spectral analysis of differential operators with multiple characteristics on a semi-axis
p. 448-449
On equilibrium distributions on a~set of permutations of the integers
p. 450-452
On a bound in Borsuk's problem
p. 453-454
Lebesgue dimension as Bredon dimension
p. 455-456
Discriminants and quasi-derivatives of commutative algebras
p. 457-458
Quasi-projective modules with the finite exchange property
p. 459-460
Hypergeometric biorthogonal rational functions
p. 461-463
Yurii Vladimirovich Egorov (on his 60th birthday)
p. 465-476
International Conference ``Approximation Theory and Harmonic Analysis''

Sommaire du Fascicule no. 3

Well-posedness of problems in fluid dynamics (a~fluid-dynamical point of view)
p. 479-564
Exact controllability of the Navier--Stokes and Boussinesq equations
p. 565-618
Lev Isaakovich Ronkin (obituary)
p. 619-621
Naturally reductive Killing $f$-manifolds
p. 623-625
A~summation method for divergent series
p. 626-627
$\sigma$-functions of $(n,s)$-curves
p. 628-629
Maps of bounded variation with values in a~metric space
p. 630-631
Finitely generated groups of unitary operators
p. 632-633
The Alexander polynomial of plane curve singularities and rings of functions on~curves
p. 634-635
A~characterization of the imaginary roots of hyperbolic Kac--Moody algebras
p. 636-637
On the $\tau$-property of continua
p. 638-639
A~class of enumerable sets
p. 640-641
Pseudohomotopic invariants of singular links
p. 642-643
Bispectral rings of difference operators
p. 644-645
The Krichever map and (semi)stable sheaves on curves
p. 646-647
Modules with few types over a commutative Prufer ring
p. 648-649
The law of entropy increase and generalized billiards
p. 650-651
Obstructions for Seifert fibrations and an extension of the Bolsinov--Fomenko theorem on integrable Hamiltonian systems
p. 652-653
Modules in the categories $E_\lambda$ over the Lie algebras $A_n^{(1)}$
p. 654-655
Polyhedra with no natural unfoldings
p. 656-657
Diagrammatic formulae of Viro--Polyak type for knot invariants of finite order
p. 658-659
Asymptotic behaviour of the colength growth functions of varieties of Lie algebras
p. 660-661
The asymptotics of the deviation of a~functional from its optimal value when chattering is replaced by a~suboptimal regime
p. 662-664
A~canonical form for the isoperimetric inequality on manifolds of conformally hyperbolic type
p. 665-666
Emmanuil El'evich Shnol' (on his 70th birthday)
p. 677-683
Meetings of the Moscow Mathematical Society
p. 667-675

Sommaire du Fascicule no. 4

Probability related to quantum gravity. Planar gravity
p. 685-728
Complex analysis and differential topology on complex surfaces
p. 729-752
Golubev sums: a theory of extremal problems like the analytic capacity problem and of related approximation processes
p. 753-818
B\'ela Sz\H okefalvi-Nagy (obituary)
p. 819-822
Anatolii Platonovich Prudnikov (obituary)
p. 823-824
The skew field of rational quantum functions
p. 825-827
Characteristic classes of projective modules over complex semisimple algebras
p. 828-829
Limit theorems for a~certain class of random convex polygonal lines
p. 830-832
On an example of an integrable geodesic flow with positive topological entropy
p. 833-834
Ergodic theorems for actions of certain maps
p. 835-836
Groups of polynomial transformations of a~line, non-formal symplectic manifolds, and the Landweber--Novikov algebra
p. 837-838
Rigidity of a~quadrillage of the torus
p. 839-840
Singular invariant measures of homeomorphisms of the circle with break points
p. 841-842
On a~property of the index of non-local elliptic problems
p. 843-844
The reduction of framed links to ordinary ones
p. 845-846
The absence of arbitrage in a model with fractal Brownian motion
p. 847-848
The categories $P_d$ and $S_d$ of two-dimensional $d$-log-terminal pairs
p. 849-851
Conditions for the existence of bounded solutions of non-linear differential equations
p. 852-853
The curvature of general $h$-convex hypersurfaces in Lobachevskii space
p. 854-855
The residual empirical distribution function in GARCH(1,1) and its application in hypothesis testing
p. 856-857
On the classification of two-dimensional local skew fields
p. 858-859
The conformal type and isoperimetric dimension of sub-Riemannian manifolds
p. 860-861
Vasilii Alekseevich Iskovskikh (on his 60th birthday)
p. 863-868
Aleksei Vasil'evich Pogorelov (on his 80th birthday)
p. 869-872

Sommaire du Fascicule no. 5

Unitary reflection groups associated with singularities of functions with cyclic symmetry
p. 873-893
Partial geometries and their extensions
p. 895-945
The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
p. 947-1014
Aleksandr Danilovich Aleksandrov (obituary)
p. 1015-1018
Cohomology with local coefficients of certain nilmanifolds
p. 1019-1020
On explicitly given saddle surfaces in a~spherical space
p. 1021-1022
An example of the rate of growth for a~random walk on a~group
p. 1023-1024
The variety of associative rings is not a~Specht variety
p. 1025-1026
High-mode parametric resonance in the problem of increasing stability by vibrations of elastic systems
p. 1027-1028
Non-Archimedean polyhedral decompositions of ultrauniform spaces
p. 1029-1030
Levels of quasiperiodic functions on a~plane, and Hamiltonian systems
p. 1031-1032
The volume of the Newton polytope of a~discriminant
p. 1033-1034
Infinite periodic factor groups of hyperbolic products
p. 1035-1036
Combinatorial formulae for the $\chi_y$-genus of a~multioriented quasitoric manifold
p. 1037-1039
Further properties of the categories $P_d$ and~$S_d$
p. 1040-1041
Robustness of dissipative systems and relative robustness and non-robustness of systems with variable dissipation
p. 1042-1043
Rigidity of a~quadrillage of the pretzel
p. 1044-1045
Formulae for regularised traces
p. 1046-1048
Perturbation of the spectrum and wave operators in linear transport theory
p. 1049-1050
Modules over hereditary and semichain rings
p. 1051-1052
No-arbitrage conditions in discrete financial models
p. 1053-1055
Invariants for Hamiltonians and kinetic equations
p. 1056-1057
A~full invariant for Morse--Smale diffeomorphisms on non-orientable surfaces
p. 1058-1059
Meetings of the Moscow Mathematical Society
p. 1061-1067
Yurii Grigor'evich Reshetnyak (on his 70th birthday)
p. 1069-1075
Victor Borisovich Lidskii (on his 75th birthday)
p. 1077-1085
Alexandr Andreevich Samarskii (on his 80th birthday)
p. 1087-1089

Sommaire du Fascicule no. 6

Moduli of real algebraic surfaces, and their superanalogues. Differentials, spinors, and Jacobians of real curves
p. 1091-1147
New results on embeddings of polyhedra and manifolds in Euclidean spaces
p. 1149-1196
A~spectral problem on graphs and $L$-functions
p. 1197-1232
The connection between time averages and minimal attractors
p. 1233-1235
Extension of maps to the hyperspace of $UV^n$-compacta
p. 1236-1237
Primitive polycycles and helicenes
p. 1238-1239
FI-defined Abelian groups
p. 1240-1241
Stably recurrent functions on the path space of a~countable graph
p. 1242-1243
A~generalization of Khinchin's inequalities to the case of quadratic forms
p. 1244-1245
The approximate factorization of positive-definite matrix functions
p. 1246-1247
Trivalent graphs and solitons
p. 1248-1249
The spectrum of the Hamiltonian of a~system of three quantum particles on a~lattice
p. 1250-1251
Non-local Poisson brackets and Whitham's method
p. 1252-1253
A method of factorization and special transformations for the Appell function $F_4$ and the Horn functions $H_1$ and~$G_2$
p. 1254-1256
Vaught's conjecture for modules over hereditary N\"otherian prime rings
p. 1257-1258
Probability laws in the distribution of the fractional parts of the values of polynomials and evidence for the quantum chaos conjecture
p. 1259-1260
Primitive polycycles: a~criterion
p. 1261-1262
Free $G$-sheaves on closed Riemann surfaces
p. 1263-1264
Valentin Fedorovich Butuzov (on his 60th birthday)
p. 1265-1267