Geodesic

Sommaire du Fascicule no. 1

Andrei Nikolaevich Kolmogorov
Mathematical models of turbulent motion of an incompressible viscous fluid
p. 3-9
On Hilbert's thirteenth problem and related questions
p. 11-25
A.\,N.~Kolmogorov and natural science
p. 27-46
Turbulent boundary layers at very large Reynolds numbers
p. 47-64
L\'evy-based spatial-temporal modelling, with applications to turbulence
p. 65-90
Kolmogorov and boundary problems of probability theory
p. 91-102
Everywhere divergent Fourier series with respect to the Walsh system and with respect to multiplicative systems
p. 103-124
Rings of continuous functions, symmetric products, and Frobenius algebras
p. 125-145
Superdiffusions and positive solutions of non-linear partial differential equations
p. 147-157
Phenomena arising from high dimensionality
p. 159-169
Representation of functions by exponentials with positive frequencies
p. 171-180
Algebraic extensions of semifields
p. 181-183
The discrete Gel'fand transformation and its dual
p. 184-186
Limit theorems for entrance times of maps of the circle with one break point
p. 187-188
Inducing a~lattice isomorphism by a~category equivalence
p. 189-190
Non-local Hamiltonian operators of hydrodynamic type with flat metrics, and the
p. 191-192
International conference ``Kolmogorov and Contemporary Mathematics''
p. 193-194
Fourth European Congress of Mathematics

Sommaire du Fascicule no. 2

Almost horizontal turbulence
p. 197-202
Kolmogorov and G\"odel's approach to intuitionistic logic: current developments
p. 203-229
Recent progress on quasi-periodic lattice Schr\"odinger operators and Hamiltonian PDEs
p. 231-246
Kolmogorov and Brouwer on constructive implication and the Ex Falso rule
p. 247-257
Random metric spaces and universality
p. 259-295
Passive scalar equation in a turbulent incompressible Gaussian velocity field
p. 297-312
Kolmogorov, random processes, and Newtonian dynamics
p. 313-317
Hausdorff distance and image processing
p. 319-328
Rigidity for circle diffeomorphisms with singularities
p. 329-353
Partial observation control in an anticipating environment
p. 355-375
On properties of the differential equation describing the dynamics of an overdamped Josephson junction
p. 377-378
On local formulae for combinatorial Pontryagin classes of manifolds
p. 379-380
On an analogue of L\'evy's characterization theorem for a random walk
p. 381-382
The asymptotic behaviour of solutions of a semilinear elliptic equation with increasing coefficient in a~cylindrical domain
p. 383-384
The additivity problem for constrained quantum channels
p. 385-387
Averaging of weakly non-local symplectic structures
p. 388-389
Strange attractors of $A$-cascades
p. 390-392
Meetings of the St.~Petersburg Mathematical Society
p. 393-398
Steklov Institute seminar on mathematics and its applications
p. 399-401
Information from Editorial Staff

Sommaire du Fascicule no. 3

Functional identities in~rings and their applications
p. 403-428
Asymptotic behaviour and expansions of solutions of an ordinary differential equation
p. 429-480
Some physical models of the reaction-diffusion equation, and coupled map lattices
p. 481-513
Some problems of the qualitative Sturm--Liouville theory on a~spatial network
p. 515-552
Olga Aleksandrovna Ladyzhenskaya (obituary)
p. 553-555
On necessary conditions for the existence of finite group generators
p. 557-559
Regularity of solutions of the Navier--Stokes system on the plane
p. 560-561
Cellular cochain algebras and torus actions
p. 562-563
Archimedean polycycles
p. 564-566
On the theory of characteristic functions
p. 567-568
Upper bounds of the number of orbital topological types of polynomial vector fields on the plane ``modulo limit cycles''
p. 569-570
On a necessary condition for the ergodicity of quadratic operators
p. 571-572
New Mori structures on a~double space of index~2
p. 573-574
Balanced bases of involution type
p. 575-577
Classification of simple multigerms of curves in a contact space
p. 578-579
On $D$-normality of $X^2\setminus\Delta$
p. 580-582
On a~construction of modules over a~polynomial ring in the case of an arbitrary field
p. 583-584
On lower bounds for Borsuk and Hadwiger numbers
p. 585-586
Existence and uniqueness of martingale measures in exponential L\'evy models
p. 587-588
A~theorem on the convergence to a stable law in the $M|G|1|\infty$ model
p. 589-590
On a non-linear parabolic problem with an obstacle
p. 591-592
Mark Iosifovich Freidlin
p. 593-597
Twelfth Saratov Winter Workshop ``Contemporary Problems of Function Theory and their Applications''

Sommaire du Fascicule no. 4

Aleksei Borisovich Zhizhchenko (congratulation)
Groups of homeomorphisms of the line and the circle.
p. 599-660
On solvability and unsolvability of equations in explicit form
p. 661-736
Knizhnik--Zamolodchikov equations for positive genus and Krichever--Novikov algebras
p. 737-770
Garal'd Isidorovich Natanson (obituary)
p. 771-776
Semën Yakovlevich Khavinson (obituary)
p. 777-785
Hidden structure of symmetries
p. 787-789
Splitting of a~multiple eigenvalue in a problem on concentrated masses
p. 790-791
The method of degeneracy and the irrationality of
p. 792-793
On the level of representability relative to free associative algebras
p. 794-795
A~representation of the Riemann zeta-function in the critical strip by means of an infinite product of matrices of order two, and a~certain dynamical system
p. 796-797
Weakly commutative homogeneous spaces with reductive stabilizer
p. 798-799
On interpolation properties of diagonal Pad\'e approximants of elliptic functions
p. 800-802

Sommaire du Fascicule no. 5

Topology in the 20th century: a view from the inside
p. 803-829
Hypergeometric functions over an arbitrary field
p. 831-905
Lectures on mirror symmetry, derived categories, and $D$-branes
p. 907-940
Yurii Petrovich Solov'ev (obituary)
p. 941-947
On the asymptotic behaviour of a locally periodic thin composite plate
p. 949-951
Chevalley groups over fields and their elementary properties
p. 952-953
The structure of the set of semidualizing complexes
p. 954-955
Interlacing zeros and divided differences
p. 956-958
Two-dimensional continued fractions of hyperbolic integer matrices
p. 959-960
Comparison theorems for elliptic divergence inequalities containing
p. 961-962
On the gaps in the spectrum of an elliptic operator on a~periodic grid
p. 963-965
Holomorphic automorphisms of two-dimensional hyperbolic tube domains
p. 966-968
Spectral subvarieties of a principally polarized Abelian variety
p. 969-970
An invariance principle for conditional empirical processes
p. 971-972
The chromatic number of a~space with the metric~$l_q$
p. 973-975
Hilbert functions and Betti numbers of homogeneous ideals in an exterior algebra
p. 976-978
Piecewise smooth embedding of a~cube
p. 979-981
The existence of functional integrals in a~model of quantum field theory on a~loop space
p. 982-983
Meetings of the Moscow Mathematical Society
p. 985-990
Leonid Romanovich Volevich (on his 70th birthday)
p. 991-1000
Mikhail Iosifovich Kadets (on his 80th birthday)
p. 1001-1004
About the impact factor
p. 1005-1007

Sommaire du Fascicule no. 6

Andrei Andreevich Bolibrukh in life and science (30~January~1950 -- 11~November~2003)
p. 1009-1028
Geometry and dynamics of Galois fields
p. 1029-1046
Birkhoff's reduction problem
p. 1047-1059
On solutions with infinite energy and enstrophy of the Navier--Stokes system
p. 1061-1078
Three gems in the theory of linear differential equations (in the work of A.\,A.~Bolibrukh)
p. 1079-1091
Logarithmic equivalence of Welschinger and Gromov--Witten invariants
p. 1093-1116
Analytic theory of difference equations with rational and elliptic coefficients and the Riemann--Hilbert problem
p. 1117-1154
A.\,A.~Bolibrukh's works on multidimensional regular and Fuchsian systems
p. 1155-1164
Fourier--Laplace transform of irreducible regular differential systems on the Riemann sphere
p. 1165-1180
Harmonic maps into homogeneous Riemannian manifolds: twistor approach
p. 1181-1203
Some questions on approximation of functions of several variables by Fourier sums in the space $L_2((a,b)^n;p(x))$
p. 1205-1206
Homotopy type of the complement of a~coordinate subspace arrangement of codimension two
p. 1207-1209
Cohomology of certain $\mathbb N$-graded Lie algebras
p. 1210-1211
Reminiscences about Andrei Andreevich Bolibrukh
p. 1213-1224