Geodesic

Sommaire du Fascicule no. 1

Cabling procedure for the~colored HOMFLY polynomials
p. 3-68
Scalar field vacuum polarization on homogeneous spaces with an~invariant metric
p. 69-87
Semiclassical asymptotic spectrum of a~Hartree-type operator near the~upper boundary of spectral clusters
p. 88-106
Tunnel splitting of the~spectrum and bilocalization of eigenfunctions in an~asymmetric double well
p. 107-130
Diagram theory for the~twofold-degenerate Anderson impurity model
p. 131-146
Longitudinal electric conductivity in a~quantum plasma with a~variable collision frequency in the~framework of the~Mermin approach
p. 147-160

Sommaire du Fascicule no. 2

Landau--Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions
p. 163-219
Qualitative theory of $p$-adic dynamical systems
p. 220-229
Vector acoustic solitons from the~coupling of long and short waves in a~paramagnetic crystal
p. 230-254
Temperley--Lieb $R$-matrices from generalized Hadamard matrices
p. 255-273
Relation between Nekrasov functions and Bohr--Sommerfeld periods in the~pure $SU(N)$ case
p. 274-289
An~uncertainty relation for quantum systems with an~arbitrarily large number of particles and the~expansion rate of matter in the~bulk
p. 290-294
Non-Markov dissipative dynamics of electron transfer in a~photosynthetic reaction center
p. 295-304

Sommaire du Fascicule no. 3

Integer-valued characteristics of solutions of the~noncommutative
p. 307-321
Exact solutions of one-dimensional nonlinear shallow water equations over even and sloping bottoms
p. 322-345
Solutions of multidimensional partial differential equations representable as a~one-dimensional flow
p. 346-362
Scalar products in models with a~$GL(3)$ trigonometric $R$-matrix: Highest coefficient
p. 363-389
Positivity of eigenvalues of the~two-particle Schr\"odinger operator on a~lattice
p. 390-402
Differential-geometric aspects of a~nonholonomic Dirac mechanics: Lessons of a~model quadratic in velocities
p. 403-415
The~Kardar--Parisi--Zhang equation and its matrix generalization
p. 416-432
Statistical theory of rarified gases in the~Coulomb model of substance: Adiabatic approximation and initial atoms
p. 433-448