Geodesic

Sommaire du Fascicule no. 1

Cohomology of arbitrary spin currents in $\mathrm{AdS}_3$
p. 3-25
Some nonlinear equations reducible to diffusion-type equations
p. 26-37
Geometric description of a relativistic string
p. 38-43
Bases and interbasis transformations for the $SU(2)$ monopole
p. 44-56
Partial spontaneous breaking of three-dimensional $N=2$ supersymmetry
p. 57-74
Supersymmetric electron in a Coulomb field
p. 75-80
Essential Schr\"odinger operator spectrum of one system of four particles on a lattice
p. 81-87
Von Neumann algebras generated by translation-invariant Gibbs states of the Ising model on a Bethe lattice
p. 88-93
Stochastic model of phase transition and metastability
p. 94-106
Entropy of open quantum systems and the Poisson distribution
p. 107-115
Singular points of time-dependent correlation functions of spin systems on large-dimensional lattices at high temperatures
p. 116-131
A crystal with a singular potential in a homogeneous electric field
p. 132-149
Electrostatics in a locally flat space with conical singularities
p. 150-162
Multidimensional cosmological solutions of the Friedman type in dilaton gravity
p. 163-176

Sommaire du Fascicule no. 2

In Memory of
p. 179-180
Mikhail Vladimirovich Savel'ev (obituary)
Supersymmetric integrable systems from geodesic flows on superconformal groups
p. 182-188
Lax equations in 10-dimensional supersymmetric classical Yang--Mills theories
p. 189-197
The pentagon equation and mapping-class groups of punctured surfaces
p. 198-204
Orthogonal polynomials of a discrete variable and Lie algebras of complex-size matrices
p. 205-236
Nonautonomous Hamiltonian systems related to higher Hitchin integrals
p. 237-263
A new approach to the representation theory of semisimple Lie algebras and quantum algebras
p. 264-284
Geodesic equivalence of metrics as a particular case of integrability of geodesic flows
p. 285-293
Lie algebras, integrability, and particle physics
p. 294-298
The duality of quantum Liouville field theory
p. 299-307
A remark on the matrix Airy function
p. 308-310
Deformed Virasoro algebras and $\mathcal W$-algebras from elliptic algebras
p. 311-322
Scalar field in an arbitrary dimension from the standpoint of higher-spin gauge theory
p. 323-344
Graded Lie algebras whose Cartan subalgebra is the algebra of polynomials in one variable
p. 345-352

Sommaire du Fascicule no. 3

Test function space for Wick power series
p. 355-373
$D$-dimensional $p$-brane cosmological models associated with a Lie algebra of the type $A_m$
p. 374-394
Isomonodromic deformations of Heun and Painlev\'e equations
p. 395-406
Darboux coordinates on $K$-orbits and the spectra of Casimir operators on Lie groups
p. 407-423
Reduction of the dressing chain of the Schr\"odinger operator
p. 424-432
Perturbation theory in the neighborhood of extended objects
p. 433-451
Perturbation theory with convergent series for calculating physical quantities specified by finitely many terms of a divergent series in traditional perturbation theory
p. 452-461
Dimensional renormalization in $p$-adic models of field theory
p. 462-475
Triplectic quantization of gauge theories
p. 476-484
Flux density distribution and energy balance equation for cascade particles in solids
p. 485-499
Distribution functions of binary solutions (exact analytic solution)
p. 500-515
Comparing quantum and classical approaches in statistical physics
p. 516-520
Nonsymmetrical tensor potential in the relativistic theory of gravity
p. 521-528