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
Lévy-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

Information from Editorial Staff

Sommaire du Fascicule no. 3

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 Padé 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