Geodesic

Sommaire du Fascicule no. 1

On integrable systems and supersymmetric gauge theories
p. 3-46
Reduction of Hugoniot--Maslov chains for trajectories of solitary vortices of the ``shallow water'' equations to the Hill equation
p. 47-66
Asymptotic formula for correlation decay in the stochastic model of planar rotators at high temperatures
p. 67-80
Random motion of particle in inhomogeneous 1D media with reflecting and absorbing barriers
p. 81-91
Perturbation of the two-soliton solution of the KdV equation
p. 92-102
Noncommutative integrals of motion for quantum sine-Gordon equation
p. 103-114
Calculation of three loop Feynman graphs by using four-dimensional integration by parts and differential renormalization
p. 115-118
Perturbation theory for particle in one-dimensional, central- or axial-symmetric fields
p. 119-123
On degenerate multidimensional dispersion laws
p. 124-131
On quantization of general covariant theories. The dynamic quantization method
p. 132-141
Poisson algebra independent on boundary conditions in Ashtekar's formalism
p. 142-160
Foldy--Wouthuysen representation in standard model of electroweak interaction
p. 161-169
Partition structures of the Cayley tree and applications for describing periodic Gibbs distributions
p. 170-175

Sommaire du Fascicule no. 2

Generalized Legendre transformations
p. 179-194
Representations of infinite-dimensional algebras and conformal field theory: from $N=2$ to $\widehat{sl}(2\vert1)$
p. 195-240
Remarks on geometric quantization of $R$-matrix type Poisson brackets
p. 241-248
Generalized Killing vectors in five-dimensional Lorentz manifold
p. 249-253
Multidimensional Toda type systems
p. 254-282
Photon radiation by an extended relativistic object
p. 283-294
Stochastic equations for fluctuating potentials in the donor--acceptor systems with low compensation
p. 295-307
Method of resurgent analysis in the atomic collision theory
p. 308-323
On the possibility of gravitational collapse in general relativity
p. 324-336
Motion of a massive particle in the vicinity of a singular sphere
p. 337-352

Sommaire du Fascicule no. 3

A representation of quantum field Hamiltonian in a $p$-adic Hilbert space
p. 355-374
Integrable equations on $\mathbb Z$-graded Lie algebras
p. 375-383
Propagation and scattering of kinks in inhomogeneous nonlinear media
p. 384-394
On localized solutions of the Davey--Stewartson~1 equations
p. 395-398
Comparision of quantum field perturbation theory on the light-front with the one in Lorentz coordinates
p. 399-416
Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy
p. 417-427
Superintegrable systems and classical $r$-matrix method
p. 428-447
Limits of applicability of the tight binding approximation for complex-valued potential function
p. 448-466
Quantum damped oscillator and classical formulation of quantum mechanics
p. 467-478
On convergence radius of time-power series for spin correlation functions of the Heisenberg magnet at high temperature
p. 479-491
Nonarchimedean space of states in the model of polymerization
p. 492-500
Calculation of particular solution in the relativistic theory of gravitation by indefinite coordinate method
p. 501-512