Geodesic

Sommaire du Fascicule no. 1

On organizing principles of discrete differential geometry. Geometry of spheres
p. 1-43
Problems in set-theoretic nonstandard analysis
p. 45-111
Kazhdan--Milman problem for semisimple compact Lie groups
p. 113-174
Finiteness of discrete spectra for nontrivial values of the full quasi-momentum in the system of three bosons on a~lattice
p. 175-177
Universal equivariant genus and Krichever's formula
p. 178-180
Integrability of $m$-valued dynamics by means of single-generated $m$-valued groups
p. 181-183
Adele resolvent for bundles of $K$-groups
p. 184-186
Codimensions of commutator of length~4
p. 187-188
Asymptotic behaviour of solutions of equations with aftereffect in Hilbert spaces
p. 189-190
Second boundary-value problem for parabolic differential-difference equations
p. 191-192
Total metric on the set of mixing transformations
p. 193-195
Linear independence of values of Tschakaloff series
p. 196-198
Structure of abelian regular positive semirings
p. 199-201
In the Saint-Petersburg Mathematical Society
p. 203-211
D.~Zimin Foundation ``Dynasty'' and Pierre Deligne competitions for young mathematicians
p. 213-216
International mathematical congress dedicated to the 300th birthday of Leonhard Euler
p. 217-218

Sommaire du Fascicule no. 2

Separatrix maps in~Hamiltonian systems
p. 219-322
Weakly infinite-dimensional spaces
p. 323-374
Viktor Iosifovich Yudovich (obituary)
p. 375-378
On varieties generated by a~ring which is finite-dimensional over its centroid
p. 379-381
Andronov--Hopf bifurcation in simple double diffusion models
p. 382-384
On the Stokes potential for pressure
p. 385-387
Picard's theorem for ordinary differential equations in~Fr\'echet spaces
p. 388-389
Classification of weakly commutative complex homogeneous spaces
p. 390-392
Sharpness of Risler's upper bound for the total curvature of an affine real algebraic hypersurface
p. 393-394
Isometric embeddings of the surfaces of the Platonic solids
p. 395-397
Andronov--Hopf bifurcation for quasi-linear parabolic functional differential equations with transformations of~spatial variables
p. 398-400
Dmitrii Viktorovich Anosov (on his 70th birthday)
p. 401-402
Yurii Nikolaevich Subbotin (on his 70th birthday)
p. 403-406

Sommaire du Fascicule no. 3

Workshop on Mathematical Hydrodynamics
p. 407-408
Euler equations for incompressible ideal fluids
p. 409-451
Mathematical aspects of surface water waves
p. 453-473
Axisymmetric incompressible flows with bounded vorticity
p. 475-496
Conformal invariance in hydrodynamic turbulence
p. 497-510
Asymptotic analysis of the full Navier--Stokes--Fourier system: From compressible to incompressible fluid flows
p. 511-533
Orthonormal quaternion frames, Lagrangian evolution equations, and the three-dimensional Euler equations
p. 535-560
Stationary solutions of Navier--Stokes equations for diatomic gases
p. 561-593
Local regularity for suitable weak solutions of the Navier--Stokes equations
p. 595-614
A classification of boundary singularities of normal subharmonic functions and applications of it
p. 615-616
Generalized Brownian loops
p. 617-619
Homogenization of diffusion processes in tubular domains
p. 620-622
Generalized symmetric powers and a~generalization of the Kolmogorov--Gel'fand--Buchstaber--Rees theory
p. 623-625
The Volterra system and the topology of the isospectral variety of zero-diagonal Jacobi matrices
p. 626-628
Removable singularities of solutions of non-linear elliptic equations
p. 629-630
Two-dimensional Schr\"odinger operators with fast decaying potential and multidimensional $L_2$-kernel
p. 631-633
More Ramanujan-type formulae for $1/\pi^2$
p. 634-636
Call for nominations of candidates for ten EMS prizes. Fifth~European Congress of Mathematics

Sommaire du Fascicule no. 4

Euler and mathematical methods in mechanics (on the 300th anniversary of the birth of Leonhard Euler)
p. 639-661
Random walks in a~random (fluctuating) environment
p. 663-712
Limit behaviour of large Frobenius numbers
p. 713-725
The algebraic Bethe ansatz and quantum integrable systems
p. 727-766
Petr Lavrent'evich Ul'yanov (obituary)
p. 767-773
Andrei Al'bertovich Muchnik (obituary)
p. 775-779
On the smooth-fit principle in~$\mathbb R^n$
p. 781-783
$S$-units in hyperelliptic fields
p. 784-786
Differentiation of Abelian functions with respect to parameters
p. 787-789
Disorder problem for a~Poisson process in the generalized Bayesian setting
p. 790-792
Minkowski's theorems on parallelohedra and their generalisations
p. 793-795
Ultra-elliptic solitons
p. 796-798
The Cauchy kernel for the Novikov--Dynnikov DN-discrete complex analysis in triangular lattices
p. 799-801
On $T$-spaces of $n$-words over a~field of characteristic $p>0$
p. 802-803
Resultants and trees
p. 804-806
Short-wave limit of the scattering amplitude in an inhomogeneous medium
p. 807-809
Minimal graph cuts on network subgraphs
p. 810-812
Realization of formal groups by cohomology~theories, and the Adams--Novikov operations
p. 813-815
Optimal use of wavelet components
p. 816-818
Commuting difference operators with polynomial coefficients
p. 819-820
Singularities in three-dimensional affine control systems with scalar control
p. 821-822
Strong asymptotics of zeros of polynomials orthogonal with respect to a~complex-valued weight
p. 823-825
Global homeomorphism theorem for conformally hyperbolic manifolds
p. 826-828
Yurii Alekseevich Mitropol'skii (on his 90th birthday)
p. 829-835
Celebration of Leonhard Euler's 300th birthday
p. 837-840
On the Euler Foundation and the first Euler Competition

Sommaire du Fascicule no. 5

Continued fractions of square roots of~rational numbers and their statistics
p. 843-855
Birationally rigid varieties. I. Fano varieties
p. 857-942
The information system Math-Net.Ru. Application of contemporary technologies in the scientific work of mathematicians
p. 943-966
The mathematical information system MathTree
p. 967-976
Inversion of multidimensional Mellin transforms
p. 977-979
Effective estimates for generalized global relations
p. 980-982
Automorphisms of Chevalley groups of some types over local rings
p. 983-984
Homotopy type of the complement of an~immersion and classification of embeddings of tori
p. 985-987
The fan of the main component of the toric Hilbert scheme
p. 988-989
An example of a~fractal set of plane directions having chaotic intersections with a~fixed 3-periodic surface
p. 990-992
Polynomially dependent homomorphisms. Uniqueness theorem for Frobenius $n$-homomorphisms
p. 993-995
On semigroups of isotonic transformations of partially ordered sets
p. 996-998
Singularity cycles and characteristic classes in cobordism
p. 999-1001
Triads and short $\mathrm{SO}_3$-subgroups of compact groups
p. 1002-1004
A criterion for the quotient of an algebraic group by a~one-dimensional subgroup to be affine
p. 1005-1006
An example of a~bounded approximatively compact set which is not locally compact
p. 1007-1008
A case of complete integrability in the dynamics on the tangent bundle of a~two-dimensional sphere
p. 1009-1011
Strong Gaussian approximation of an associated random field
p. 1012-1014
Special isometric transformations of a~cylinder
p. 1015-1017
Quasi-triviality of forms of Segre varieties
p. 1018-1020
Vladimir Igorevich Arnol'd (on his 70th birthday)
p. 1021-1030
International conference ``Analysis and Singularities'' dedicated to the 70th birthday of V.\,I.~Arnol'd
p. 1031-1033
The summer school ``Contemporary Mathematics''
p. 1035-1037
International conference ``Differential Equations and Topology'' dedicated to the 100th birthday of L.\,S.~Pontryagin (1908--1988)
p. 1039-1041

Sommaire du Fascicule no. 6

Hurwitz curves
p. 1043-1119
Automorphism groups of fields, and their representations
p. 1121-1186
Leonid Romanovich Volevich (obituary)
p. 1187-1190
Analogues of the Poincar\'e--Chernoff inequality and the logarithmic
p. 1191-1193
An elementary proof of the Miki--Zagier--Gessel identity
p. 1194-1196
Biorthogonal dyadic wavelets on~$\mathbb R_+$
p. 1197-1198
Explicit construction of manifolds realising prescribed homology classes
p. 1199-1201
On Haar uniqueness properties for vector-valued random processes
p. 1202-1203
Homogeneous commutative orthogonal decompositions of semisimple algebras
p. 1204-1206
Rationality of generating functions of cycle rook polynomials and
p. 1207-1209
On the isoperimetric inequality on conformally parabolic manifolds
p. 1210-1211
On Stokes potentials for velocities
p. 1212-1214
Probability structures and probability sets
p. 1215-1217
Multi-parameter Sturm--Liouville problem. Limit point and limit circle
p. 1218-1220
Self-similarity equations and the $p$-radius of operators
p. 1221-1223
On distance graphs with large chromatic number but without large simplices
p. 1224-1225
Artin root numbers of Abelian varieties
p. 1226-1227
On separating systems of Weyl chambers for a root system of type $\mathsf D_l$
p. 1228-1230
Valentin Yakovlevich Golodets (on his 70th birthday)
p. 1231-1232
Fedor Alekseevich Bogomolov (on his 60th birthday)
p. 1233-1237
Abram Meerovich Kagan (on his 70th birthday)
p. 1239-1242