Geodesic

Tome 2 (2006)

Sommaire

Lax Integrable Supersymmetric Hierarchies on Extented Phase Spaces
On the Effective Action of Dressed Mean Fields for $\mathcal N=4$ Super-Yang–Mills Theory
Heat Kernel Measure on Central Extension of Current Groups in any Dimension
On Linearizing Systems of Diffusion Equations
Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy
Orbit Functions
On the Gaussian Random Matrix Ensembles with Additional Symmetry Conditions
Status Report on the Instanton Counting
On Action Invariance under Linear Spinor-Vector Supersymmetry
Superintegrability on Three-Dimensional Riemannian and Relativistic Spaces of Constant Curvature
Order Parameters in XXZ-Type Spin $\frac12$ Quantum Models with Gibbsian Ground States
On Classical $r$-Matrix for the Kowalevski Gyrostat on $\mathrm{so}(4)$
Operator Gauge Symmetry in QED
On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
Auger Spectra and Different Ionic Charges Following $3s$, $3p$ and $3d$ Sub-Shells Photoionization of Kr Atoms
Extended Soliton Solutions in an Effective Action for $\mathrm{SU}(2)$ Yang–Mills Theory
Applications of Symmetry Methods to the Theory of Plasma Physics
Mathematical Analysis of a Generalized Chiral Quark Soliton Model
Eigenvectors of Open Bazhanov–Stroganov Quantum Chain
Duality-Symmetric Approach to General Relativity and Supergravity
On the Degenerate Multiplicity of the $\mathrm{sl}_2$ Loop Algebra for the 6V Transfer Matrix at Roots of Unity
Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras
A Banach Principle for Semifinite von Neumann Algebras
On the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account
Ordered Dissipative Structures in Exciton Systems in Semiconductor Quantum Wells
Functional Integral Approaches to the Bosonization of Effective Multi-Quark Interactions with $U_{\mathrm{A}}(1)$ Breaking
Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border
Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras
Large-$j$ Expansion Method for Two-Body Dirac Equation
Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations
$q$-Deformed Bi-Local Fields II
Localized Induction Equation for Stretched Vortex Filament
A New Form of the Spherical Expansion of Zonal Functions and Fourier Transforms of $\mathrm{SO}(d)$-Finite Functions
On Orthogonality Relations for Dual Discrete $q$-Ultraspherical Polynomials
Calogero Model(s) and Deformed Oscillators
Regular and Chaotic Regimes in Scalar Field Cosmology
On the Generalized Maxwell–Bloch Equations
Combined Reduced-Rank Transform
Nonclassical Approximate Symmetries of Evolution Equations with a Small Parameter
Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell–Abel Equation
On Transitive Systems of Subspaces in a Hilbert Space
Quasigraded Lie Algebras and Modified Toda Field Equations
Hamiltonian Flows of Curves in $G/SO(N)$ and Vector Soliton Equations of mKdV and Sine-Gordon Type
Electroweak Interaction Model with an Undegenerate Double Symmetry
Scale-Dependent Functions, Stochastic Quantization and Renormalization
Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems
On Deformations and Contractions of Lie Algebras
On One Approach to Investigation of Mechanical Systems
Perturbative Treatment of the Evolution Operator Associated with Raman Couplings
Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations
Consequences of Symmetries on the Analysis and Construction of Turbulence Models
On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System
Geodesic Flow and Two (Super) Component Analog of the Camassa–Holm Equation
On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles
Extension of the Poincaré Symmetry and Its Field Theoretical Implementation
Dispersionless Hirota Equations of Two-Component BKP Hierarchy
A Dual Mesh Method for a Non-Local Thermistor Problem
Finding Liouvillian First Integrals of Rational ODEs of Any Order in Finite Terms
$q$-Deformed KP Hierarchy and $q$-Deformed Constrained KP Hierarchy
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology
Quantum Potential and Symmetries in Extended Phase Space
The Painlevé Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with
On a “Mysterious” Case of a Quadratic Hamiltonian
On the Linearization of Second-Order Differential and Difference Equations
Quantum Entanglement and Projective Ring Geometry
The Relation Between the Associate Almost Complex Structure to $HM'$ and $(HM',S,T)$-Cartan Connections
Painlevé Analysis and Similarity Reductions for the Magma Equation
Integrable Models of Interaction of Matter with Radiation
On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa–Holm Equation
Generalized Ellipsoidal and Sphero-Conal Harmonics
Coupled Modified KP Hierarchy and Its Dispersionless Limit
Quasi-Exactly Solvable $N$-Body Spin Hamiltonians with Short-Range Interaction Potentials
Combined Analysis of Two- and Three-Particle Correlations in $q,p$-Bose Gas Model
Prolongation Loop Algebras for a Solitonic System of Equations
Orthogonality within the Families of $C$-, $S$-, and $E$-Functions of Any Compact Semisimple Lie Group
The Torsion of Spinor Connections and Related Structures
Integrable Hierarchy of Higher Nonlinear Schrödinger Type Equations
$u$-Deformed WZW Model and Its Gauging
A Formula for the Logarithm of the KZ Associator
Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy
The Form Factor Program: a Review and New Results – the Nested $\mathrm{SU}(N)$ Off-Shell Bethe Ansatz
Fermion on Curved Spaces, Symmetries, and Quantum Anomalies
$\mathcal R$-Matrix and Baxter $\mathcal Q$-Operators for the Noncompact $\mathrm{SL}(N,\mathbb C)$ Invariant Spin Chain
Multivariable Christoffel–Darboux Kernels and Characteristic Polynomials of Random Hermitian Matrices
Quantum Gravity as a Broken Symmetry Phase of a BF Theory
Para-Grassmann Variables and Coherent States
Solvable Nonlinear Evolution PDEs in Multidimensional Space
Einstein–Riemann Gravity on Deformed Spaces
Non-Commutative Mechanics in Mathematical in Condensed Matter Physics
Dynamical $R$ Matrices of Elliptic Quantum Groups and Connection Matrices for the $q$-KZ Equations
A $q$-Analogue of the Centralizer Construction and Skew Representations of the Quantum Affine Algebra
On the One Class of Hyperbolic Systems
Noncommutative Geometry: Fuzzy Spaces, the Groenewold–Moyal Plane
Bethe Ansatz Solutions of the Bose–Hubbard Dimer
Restricted Flows and the Soliton Equation with Self-Consistent Sources
On the Darboux–Nijenhuis Variables for the Open Toda Lattice
Invariant Varieties of Periodic Points for the Discrete Euler Top