Geodesic

Sommaire du Fascicule no. 1

Construction of trigonometric Toda $r$-matrices via Hamiltonian reduction of the cotangent bundle over loop groups
p. 3-12
Gaudin magnet and off mass shell Bethe wave functions
p. 13-28
On the correspondence of hypercomplex solutions to special unitary groups
p. 29-33
Conservation currents in quantum integrable models
p. 34-44
Lagrangian formulation of irreducible massive fields of arbitrary spin in $(2+1)$-dimensions
p. 45-57
Test of a new bosonization algorithm for a simple one-dimensional model
p. 58-67
String barionic model ``triangle''
p. 68-84
Proof of the absence of multiplicative renormalizability of the Gross--Neveu model in dimensional regularization $d=2+2\varepsilon$
p. 85-99
Physical phase space of the lattice Yang--Mills theory and moduli space of flat connections on a Riemann surface
p. 100-111
Antisymmetric tensor fields and the Weyl gauge theory
p. 112-123
Dynamic spin susceptibility in the Hubbard model
p. 124-138
Analytical solution of the nonstationary Boltzmann equation in the BGK-model
p. 139-148
Effective potentials and Bogoliubov's quasiaverage
p. 149-161
Investigation of the cylindrical source model of the gravitational field
p. 162-167

Sommaire du Fascicule no. 2

A survey of Hirota's difference equations
p. 179-230
$P_\infty$ algebra of KP, free fermions and 2-cocycle in the Lie algebra of pseudodifferential operators
p. 231-260
On integrability of Rikkati-type systems of hyperbolic equations
p. 261-275
Non-commutative Ito and Stratonovich noise and stochastic evolutions
p. 276-284
Some properties of solutions of a $P$-type nonlinear equation
p. 285-288
Two-loop Euler--Heisenberg lagrangian in dimensional renormalization
p. 289-300
Phenomenology of multi-component relativistic superfluid in multi-dimensional space
p. 301-312
On the theory of B-phase in the superfluid Fermi-liquid with triplet pairing
p. 313-330
Absorption spectrum of one-dimensional chain with Frenkel's exiton under diagonal disorder represented by hyperbolic defects
p. 331-337
Two-magnon states of the one-dimensional isotropic Heisenberg model with free boundary conditions
p. 338-345
Antigraviting bubbles with non-Minkowskian asymptotic
p. 346-352

Sommaire du Fascicule no. 3

Algebra of $q$-deformed commutators in an indefinite metric space
p. 355-368
Representations of general commutation relations
p. 369-383
Quantum Volterra model and universal $R$-matrix
p. 384-396
Spectral problem for the radial Schr\''odinger equation with power confining potentials
p. 397-412
Spectral properties of Hamiltonians with magnetic field under fixation of pseudomomentum.~I
p. 413-431
Electron-phonon interaction of strongly correlated systems. II.~Strong coupling limit
p. 432-437
Large-scale structure of fluctuating field near the lability boundary of a phase transition of the first kind
p. 438-447
Tensor-tensor model of gravity
p. 448-460