Geodesic

Sommaire du Fascicule no. 1

A differential $\mathscr U$-module algebra for $\mathscr{U}=\overline{\mathscr U}_{\mathfrak{q}}s\ell(2)$ at an~even root of unity
p. 5-33
Global eigenvalue distribution regime of random matrices with an~anharmonic potential and an~external source
p. 34-57
Description of braids in~terms of first-order spectral problems
p. 58-63
Aspects of proper differential sequences of ordinary differential equations
p. 64-80
Meson contributions in the~Nambu--Jona-Lasinio model
p. 81-95
Borel resummation of the~$\varepsilon$-expansion of the~dynamical exponent $z$ in model~A of the~$\phi^4(O(n))$ theory
p. 96-108
Temperature inversion symmetry in gauge-Higgs unification models
p. 109-130
Vacuum solutions in the~Neveu--Schwarz field theory of a~fermionic string and the~zero-curvature representation in graded spaces
p. 131-141
Lie algebraic treatment of the~quadratic invariants for a~quantum system
p. 142-161
Diagrammatic theory for the~Anderson impurity model: Stationary property of the~thermodynamic potential
p. 162-173
Bose condensate in the~two-dimensional case, the~$\lambda$-point, and the~Thiess--Landau two-fluid model
p. 174-176

Sommaire du Fascicule no. 2

Correlation functions of the~XX Heisenberg magnet and random walks of vicious walkers
p. 179-193
A~generalization of the~Verlinde formula in~logarithmic conformal field theory
p. 194-206
Spectral parameterization for power sums of a~quantum supermatrix
p. 207-219
Non-Abelian gauge theories, prepotentials, and Abelian differentials
p. 220-242
A~new two-parameter family of exactly solvable Dirac Hamiltonians
p. 243-251
Bethe ansatz and isomondromy deformations
p. 252-265
Algebraic integration of sigma-model field equations
p. 266-282
Quantum entanglement in composite systems
p. 283-298
The~infiniteness of the~number of eigenvalues in the~gap in the~essential spectrum for the~three-particle Schr\"odinger operator on a~lattice
p. 299-317
A~new distribution generalizing the~Bose--Einstein distribution
p. 318-320

Sommaire du Fascicule no. 3

Coupled nonlinear Schr\"odinger equations for interfacial fluids with a~free surface
p. 326-335
Existence of energy minimums for thin elastic rods in static helical configurations
p. 336-352
QCD-like properties of anomalous dimensions in the~$\mathcal N=4$ supersymmetric Yang--Mills theory
p. 353-363
Building an extended resolvent of the~heat operator via twisting transformations
p. 364-378
Large-spin limit of twist operators in the~$\mathcal N=4$ supersymmetric Yang--Mills theory
p. 379-386
Solutions of the~real dispersionless Veselov--Novikov hierarchy
p. 387-398
Riemann-invariant solutions of the~isentropic fluid flow equations
p. 399-410
Reciprocal transformations for a~spectral problem in $2+1$ dimensions
p. 411-417
Reciprocal B\"acklund transformations of autonomous evolution equations
p. 418-427
Nonlocal symmetries and reductions for some ordinary differential equations
p. 428-437
Multicomponent nonlinear schr\"odinger equations with constant
p. 438-447
Matrix solutions of a~noncommutative KP equation and a~noncommutative mKP equation
p. 448-458
Integrable systems and squared eigenfunctions
p. 459-474
Nonlinear long-wave models for imperfectly bonded layered waveguides
p. 475-489
Hirota's virtual multisoliton solutions of $N=2$ supersymmetric Korteweg--de Vries equations
p. 490-501
Continuous-discrete integrable equations and Darboux transformations as deformations of associative algebras
p. 502-514
Pad\'e approximations for Painlev\'e I and II transcendents
p. 515-526
Asymptotic expansion of the~wobbling kink
p. 527-535
Oscillating solitons of the~driven, damped nonlinear Schr\"odinger equation
p. 536-544