Geodesic

Sommaire du Fascicule no. 1

Combinatorial expansions of conformal blocks
p. 3-27
Quantum $s\ell(2)$ action on a~divided-power quantum plane at even
p. 28-45
Formula for the~number of eigenvalues of a~three-particle Schrödinger operator on a~lattice
p. 46-61
Study of the~essential spectrum of a~matrix operator
p. 62-77
The~Efimov effect for a~model ``three-particle'' discrete Schr\"odinger operator
p. 78-87
Entropic measure of the~order--disorder character in lattice systems in the~representation of coordination Cayley tree graphs
p. 88-107
Transcendental trace formulas for finite-gap potentials
p. 108-118
The~ring of physical states in the~$M(2,3)$ minimal Liouville gravity
p. 119-140
Vacuum symmetries in brane-world models
p. 141-156
Wave function and the~probability current distribution for a~bound electron moving in a~uniform magnetic field
p. 157-171
The~physical inconsistency of the~Schwarzschild and Kerr solutions
p. 172-176

Sommaire du Fascicule no. 2

A~possible combinatorial point for the~XYZ spin chain
p. 179-195
Some integral equations related to random Gaussian processes
p. 196-206
Integrable vector evolution equations admitting zeroth-order conserved densities
p. 207-213
The~Korteweg--de Vries equation with a~self-consistent source in the~class of periodic functions
p. 214-221
Nonlinear transparency regimes for three-component acoustic pulses in a~system of electron and nuclear spins
p. 222-242
Renormalization group approach to function approximation and to improving subsequent approximations
p. 243-261
Casimir energy in noncompact lattice electrodynamics
p. 262-278
Semiclassical spectral series of the~Schr\"odinger operator with a~delta~potential on a~straight line and on a~sphere
p. 279-298
Rodrigues solutions of the~Dirac equation for shape-invariant potentials: Master function approach
p. 299-308
Dynamical magnetic susceptibility of the~periodic Anderson model in the~chaotic phase approximation
p. 309-320

Sommaire du Fascicule no. 3

Regularized adelic formulas for string and superstring amplitudes in one-class quadratic fields
p. 323-332
Zero level of a~purely magnetic two-dimensional nonrelativistic Pauli operator for spin-$1/2$ particles
p. 333-353
Bogoliubov equations and functional mechanics
p. 354-362
Generalized entropy of the~Heisenberg spin chain
p. 363-367
Harmonic spheres conjecture
p. 368-379
Nonlocal dynamics of $p$-adic strings
p. 380-385
Two-particle wave function as an~integral operator and the~random field approach to quantum correlations
p. 386-393
Multidimensional clustering and hypergraphs
p. 394-400
Multifield cosmology from string field theory: An~exactly solvable approximation
p. 401-409
Integrable equations for the~model with $N$ sources and $n-1$ modes
p. 410-418
A~special set of eigenvectors for the~hyperbolic Sutherland systems
p. 419-425
Coordinate and momentum operators in $p$-adic quantum mechanics
p. 426-434
Irreversibility and the~role of an~instrument in the~functional formulation of classical mechanics
p. 435-440
Existence and uniqueness of classical solutions of the~Cauchy problem on nonglobally hyperbolic manifolds
p. 441-446
Space of $C^1$-smooth skew products of maps of an~interval
p. 447-454
Averaging of quantum dynamical semigroups
p. 455-463
Spectrum of the~energy operator of two-magnon systems in the~isotropic Heisenberg ferromagnet model with impurity
p. 464-472
Group averaging for de~Sitter free fields in terms of hyperspherical functions
p. 473-480