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 Schrödinger 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 Schrödinger 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 Bäcklund transformations of autonomous evolution equations
p. 418-427
Nonlocal symmetries and reductions for some ordinary differential equations
p. 428-437
Multicomponent nonlinear schrödinger 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
Padé approximations for Painlevé I and II transcendents
p. 515-526
Asymptotic expansion of the wobbling kink
p. 527-535
Oscillating solitons of the driven, damped nonlinear Schrödinger equation
p. 536-544