Geodesic

Sommaire du Fascicule no. 1

Chebyshev polynomials, Catalan numbers, and tridiagonal matrices
p. 3-9
Liouville correspondences between multicomponent integrable hierarchies
p. 10-45
Construction of dynamical semigroups by a~ functional regularization \`a~la Kato
p. 46-69
Dependence of the~phase of the~elastic scattering amplitude on
p. 70-75
Electric field near the~surface of a~plasma with an arbitrary degree of degeneracy as a~response to an~external alternating electric field
p. 76-94
Effective classical harmonic crystal with thermal rectification
p. 95-105
The~self-consistent field method and macroscopic Einstein equations for the~early universe
p. 106-129
Magnetic helicity flux for mean magnetic field equations
p. 130-141
Nontrivial solvability of the~homogeneous Wiener--Hopf multiple integral equation in the~conservative case and the~Peierls equation
p. 142-150

Sommaire du Fascicule no. 2

Group algebras acting on the~space of solutions of a~special double
p. 153-170
Airy function and transition between the semiclassical and harmonic oscillator approximations for one-dimensional bound states
p. 171-180
KNTZ trick from arborescent calculus and the~structure of differential expansion
p. 181-210
Optimal Evolution Time Generated by Pseudo-Hermitian Hamiltonian
p. 211-225
Convergent perturbation theory for studying phase transitions
p. 226-241
Quantifying non-Gaussianity via the~Hellinger distance
p. 242-257
Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model
p. 258-279
Deformation quantization of framed presymplectic manifolds
p. 280-296
Two-photon propagation of light and the~modified Liouville equation
p. 297-304

Sommaire du Fascicule no. 3

Extensions of nonnatural Hamiltonians
p. 321-331
Recursion operators and hierarchies of $\text{mKdV}$ equations related to the~Kac--Moody algebras $D_4^{(1)}$\!, $D_4^{(2)}$\!, and $D_4^{(3)}$
p. 332-354
Centers of generalized reflection equation algebras
p. 355-366
Extensions of the~discrete KP hierarchy and its strict version
p. 367-382
Multiphase solutions of nonlocal symmetric reductions of equations of the~AKNS hierarchy: General analysis and simplest examples
p. 383-395
Hurwitz numbers from Feynman diagrams
p. 396-429
Wronskian-type formula for inhomogeneous $TQ$ equations
p. 430-435
Multiplicative dynamical systems in terms of the~induced dynamics
p. 436-444
Elliptic solutions of the~semidiscrete B-version of the~Kadomtsev--Petviashvili equation
p. 445-452
Generating function for scalar products in the~algebraic Bethe ansatz
p. 453-465
Relation between categories of representations of the~super-Yangian
p. 466-484