Geodesic

Sommaire du Fascicule no. 1

Singular vectors of the~Ding--Iohara--Miki algebra
p. 3-32
Note on Schramm--Loewner evolution for superconformal algebras
p. 33-46
Real forms of elliptic integrable systems
p. 47-59
Integration of the~nonlinear Schr\"odinger equation with an~additional term in the~class of periodic functions
p. 60-68
Essentially nonperturbative vacuum polarization effects in a~two-dimensional Dirac--Coulomb system for $Z>Z_{\text{cr}}$: Vacuum polarization effects
p. 69-103
Quantum field theory description of processes passing at finite space and time intervals
p. 104-122
A~unitarity criterion for the~partial $S$-matrix of resonance scattering
p. 123-133
Periodic Gibbs measures for the~Potts--SOS model on a~Cayley tree
p. 134-141
Two-dimensional field reduction of the~general theory of relativity
p. 142-153
Exact solutions of the~Cauchy problem for the~Friedman equation
p. 154-172

Sommaire du Fascicule no. 2

Factorization of Darboux--Laplace transformations for discrete hyperbolic operators
p. 175-192
Expressions in Fredholm determinants for solutions of the~strict KP hierarchy
p. 193-209
Quasi-St\"ackel Hamiltonians and electron dynamics in an~external field in the~two-dimensional case
p. 210-217
Superintegrable systems with algebraic and rational integrals of motion
p. 218-234
Algebro-geometric integration of the~modified Belov--Chaltikian lattice hierarchy
p. 235-256
Bosonic symmetries of the~extended fermionic $(2N,2M)$-Toda~hierarchy
p. 257-271
Dressing method for the~multicomponent short-pulse equation
p. 272-282
Quantum problem of polaron localization and justification of the~Su--Schrieffer--Heeger approximation
p. 283-290
Translation Invariance of the~periodic Gibbs measures for the~Potts model on the~Cayley tree
p. 291-301
Nonchiral bosonization of strongly inhomogeneous Luttinger liquids
p. 302-329
Behavior of the~solution of the~Klein--Gordon equation with a~localized initial condition
p. 330-340

Sommaire du Fascicule no. 3

Matrix modified Kadomtsev--Petviashvili hierarchy
p. 343-356
Binary Darboux transformations of the~supersymmetric Heisenberg magnet model
p. 357-371
Quasiperiodic solutions of the~negative-order Korteweg--de~Vries hierarchy
p. 372-398
Spin top (toward a~theorem on the~spin--statistics relation)
p. 399-404
Two-dimensional motion of a~slow quantum particle in the~field of a~central long-range potential
p. 405-428
Asymptotic eigenfunctions of the~``bouncing ball'' type for the~two-dimensional Schr\"odinger operator with a~symmetric potential
p. 429-444
Asymptotics of the~spectrum of a~two-dimensional Hartree-type operator with a~Coulomb self-action potential near the~lower boundaries of spectral clusters
p. 445-459
Refinement of the~quantum scattering theory approximation for the~Yukawa potential using the~Meijer's-function technique
p. 460-478
Energy characteristics of the~anomalous diffusion process
p. 479-496
Eigenvalues of the~transfer matrix of the~three-dimensional Ising model in the~particular case $n=m=2$
p. 497-510