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 Schrödinger 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-Stäckel 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 Schrödinger 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