Geodesic

Sommaire du Fascicule no. 1

Forgotten and neglected theories of Poincar\'e
p. 1-18
Integrable equations, addition theorems, and the Riemann--Schottky problem
p. 19-78
Two-dimensional Dirac operator and the theory of surfaces
p. 79-159
K\'aroly Tandori (obituary)
p. 161-164
Functional equations defining multiplication in a~continuous Krichever--Novikov basis
p. 165-167
Convergence to equilibrium of the wave equation in $\mathbb R^n$ with odd $n\geqslant3$
p. 168-170
Quantum cohomology of Grassmannians and cyclotomic fields
p. 171-173
Discrete approximation of American-type options
p. 174-175
Almost sure convergence of kernel density estimators for weakly dependent random fields
p. 176-178
Billiards in unbounded domains reversing the direction of motion of a~particle
p. 179-180
A note on the dual complex of a~resolution of singularities
p. 181-183
The normality of some elliptic functional-differential operators of second order
p. 184-185
A bound for the degree of regularity of a stochastic matrix
p. 186-187
Vladimir Mikhailovich Tikhomirov (on his 70th birthday)
p. 189-192
Programme ``Young British and Russian mathematicians'' (an agreement between the London Mathematical Society, the Russian Academy of Sciences, and the Moscow Mathematical Society

Sommaire du Fascicule no. 2

Collapse results for query languages in database theory
p. 195-253
Fibrations into del Pezzo surfaces
p. 255-300
Multiplicativity of $p$-norms of completely positive maps and the additivity problem in quantum information theory
p. 301-339
Viktor Andreevich Toponogov (obituary)
p. 341-345
The dual structure of almost completely decomposable groups and their endomorphism rings
p. 347-348
Elementary properties of Chevalley groups over local rings
p. 349-350
On a mixed problem for the Barenblatt--Zheltov--Kochina equation in a~domain cylindrical with respect to the space variables
p. 351-352
A~filtration defined by arcs in a~space
p. 353-355
The classification of multidimensional Poisson brackets of hydrodynamic type
p. 356-358
The law of the iterated logarithm for an associated random field
p. 359-361
M-estimation and testing linear hypotheses in the ARCH model
p. 362-364
Spectral properties of a class of discrete Sturm--Liouville operators
p. 365-367
On the trajectory and global attractors for the equations of motion of a~visco-elastic medium
p. 368-370
Pirogov--Sinai theory for relatively bounded quantum perturbations of classical lattice models
p. 371-372
Stanislav Ivanovich Pokhozhaev (on his 70th birthday)
p. 373-378
Andrei Borisovich Shidlovskii (on his 90th birthday)
p. 379-386
Letter to the Editorial Board

Sommaire du Fascicule no. 3

Behaviour of the argument of the Riemann zeta function on the critical line
p. 389-482
Solving matrix models in $1/N$-expansion
p. 483-543
Dmitrii Evgen'evich Okhotsimskii (obituary)
p. 545-549
On the Euler characteristic of an intersection of quadrics
p. 551-552
Orthogonal duality of toric Fano varieties with regular involution
p. 553-554
Rings of Morava $K$-theories of modular groups in terms of Chern classes
p. 555-556
Nonprimitive $n$-dimensional parallelohedra of the first type: combinatorics and symbols
p. 557-559
Representations of $m$-valued groups on triangulations of manifolds
p. 560-562
Robust estimation of coefficient matrices in~multivariate linear regression models
p. 563-565
Topologies and duality of $\kappa$-normed vector spaces
p. 566-567
Systems of integrals in involution and associativity equations
p. 568-570
Proof of the Poincar\'e--Chernoff inequality and logarithmic Sobolev's inequality by the methods of stochastic calculus for Brownian motion
p. 571-573
Sergei Ivanovich Adian (on his 75th birthday)
p. 575-588

Sommaire du Fascicule no. 4

Yurii Sergeevich Osipov (photo)
Yurii Sergeevich Osipov (on his 70th birthday)
p. 589-591
Yu.\,S.~Osipov's work in mathematical control theory
p. 593-610
Control packages: an approach to solution of positional control problems with incomplete information
p. 611-661
Instability zones of periodic 1-dimensional Schr\"odinger and Dirac operators
p. 663-766
Algebra of Hurwitz numbers for seamed surfaces
p. 767-769
Classification and realization theorems for one class of finite-rank torsion-free rings
p. 770-771
Inversion formula for infinitely divisible distributions
p. 772-774
Newton series, the Leibniz rule, and functions of finite order
p. 775-777
Extremal properties of singularities of Goursat distributions
p. 778-779
Conjectures of Cheng and Ramadanov
p. 780-782
The Nelson--Erd\H os--Hadwiger problem and a space realization of a random graph
p. 783-785
Factors, rank, and embedding of a generic $\mathbb Z^n$-action in an $\mathbb R^n$-flow
p. 786-787
The behaviour of a non-linear random process in a~neighbourhood of its stationary distributions
p. 788-790
The Fourth International Conference on Differential and Functional-Differential Equations
p. 791-792
70 years of the journal Uspekhi Matematicheskikh Nauk
p. 793-797

Sommaire du Fascicule no. 5

Structure of the complementary series and special representations of the groups $O(n,1)$ and~$U(n,1)$
p. 799-884
Traces of operators
p. 885-953
Fragments of the research biography of D.\,A.~Raikov: harmonic analysis
p. 955-969
Kirill Andreevich Rodosskii (obituary)
p. 971-973
Lev Vasil'evich Sabinin (obituary)
p. 975-980
Some circle homeomorphisms with break-type singularities
p. 981-983
An estimate for the chromatic number of the space~$\mathbb R^4$
p. 984-986
Hawaiian groups of topological spaces
p. 987-989
Syzygies of some quadratic varieties and their connection with the cohomology of Lie algebras
p. 990-992
Markov processes in the continuous model of stochastic synchronization
p. 993-995
Fields Medal awards in 2006
p. 997-998

Sommaire du Fascicule no. 6

Zeta functions of orthogonal groups of integral positive-definite quadratic forms
p. 999-1038
Dixmier traces and some applications in non-commutative geometry
p. 1039-1099
Szemer\'edi's theorem and problems on arithmetic progressions
p. 1101-1166
Spaces of stochastic processes, interpolation theorems
p. 1167-1169
Types and boundary uniqueness of polypentagons
p. 1170-1172
Novikov--Betti numbers and the fundamental group
p. 1173-1175
Behaviour of bounded solutions of quasi-linear elliptic equations
p. 1176-1177
On existence and uniqueness conditions for an integer triangle with given angles
p. 1178-1179
A generalization of Poncelet's theorem
p. 1180-1182
Sigma-functions and Krichever--Novikov bases
p. 1183-1185
Superadditivity of~the~convex~closure of~the~output entropy of~a~quantum channel
p. 1186-1188
Vladimir Aleksandrovich Kondrat'ev (on his 70th birthday)
p. 1189-1197