Geodesic

Tome 3 (2007)

Sommaire

Non-Local Finite-Size Effects in the Dimer Model
Raising and Lowering Operators for Askey–Wilson Polynomials
Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
Construction of the Bethe State for the $\mathrm E_{\tau,\eta}(so_3)$ Elliptic Quantum Group
Symmetry Operators for the Fokker–Plank–Kolmogorov Equation with Nonlocal Quadratic Nonlinearity
Generalized Potts-Models and their Relevance for Gauge Theories
Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
The Virasoro Algebra and Some Exceptional Lie and Finite Groups
Asymmetric Twin Representation: the Transfer Matrix Symmetry
Modular Symmetry and Fractional Charges in $\mathcal N=2$ Supersymmetric Yang–Mills and the Quantum
Finite-Temperature Form Factors: a Review
Boundary Liouville Theory: Hamiltonian Description and Quantization
Relativistic Toda Chain with Boundary Interaction at Root of Unity
An Analytic Formula for the $\mathrm A_2$ Jack Polynomials
KP Trigonometric Solitons and an Adelic Flag Manifold
Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics
Separation of Variables and the Geometry of Jacobians
Lattice Field Theory with the Sign Problem and the Maximum Entropy Method
Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations
Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows
Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds
Laurent Polynomials and Superintegrable Maps
Antisymmetric Orbit Functions
A Recursive Scheme of First Integrals of the Geodesic Flow of a Finsler Manifold
Quantum Super-Integrable Systems as Exactly Solvable Models
Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature
Deformation Quantization in White Noise Analysis
Bethe Ansatz for the Ruijsenaars Model of $BC_1$-Type
The 6 Vertex Model and Schubert Polynomials
A Super-Integrable Two-Dimensional Non-Linear Oscillator with an Exactly Solvable Quantum Analog
Singular Eigenfunctions of Calogero–Sutherland Type Systems and How to Transform Them into Regular Ones
A Note on the Rotationally Symmetric $\mathrm{SO}(4)$ Euler Rigid Body
Continuous and Discrete (Classical) Heisenberg Spin Chain Revised
By Magri's Theorem, Self-Dual Gravity is Completely Integrable
Charges in Gauge Theories
A “User-Friendly” Approach to the Dynamical Equations of Non-Holonomic Systems
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero–Sutherland Models
Towards Finite-Gap Integration of the Inozemtsev Model
$N$-Wave Equations with Orthogonal Algebras: $\mathbb Z_2$ and $\mathbb Z_2\times\mathbb Z_2$ Reductions and Soliton Solutions
$q$-Boson in Quantum Integrable Systems
Phase Space of Rolling Solutions of the Tippe Top
Hamiltonian Structure of PI Hierarchy
A Journey Between Two Curves
A Discretization of the Nonholonomic Chaplygin Sphere Problem
Spectral Curves of Operators with Elliptic Coefficients
Qualitative Analysis of the Classical and Quantum Manakov Top
Some Remarks on the KP System of the Camassa–Holm Hierarchy
Density of Eigenvalues of Random Normal Matrices with an Arbitrary Potential, and of Generalized Normal Matrices
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
Lie Algebroids in Classical Mechanics and Optimal Control
Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic
Polynomials Associated with Dihedral Groups
Lie Symmetries and Criticality of Semilinear Differential Systems
Bäcklund–Darboux Transformation for Non-Isospectral Canonical System and Riemann–Hilbert Problem
Eigenfunction Expansions of Functions Describing Systems with Symmetries
Macdonald Polynomials and Multivariable Basic Hypergeometric Series
On the Applications of a New Technique to Solve Linear Differential Equations, with and without Source
From $\mathfrak{su}(2)$ Gaudin Models to Integrable Tops
A Critical Phenomenon in Solitonic Ising Chains
Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel
Completely Integrable Systems Associated with Classical Root Systems
Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility
The Relationship between Zhedanov's Algebra $AW(3)$ and the Double Affine Hecke Algebra in the Rank One Case
Degenerate Series Representations of the $q$-Deformed Algebra $\mathrm{so}'_q(r,s)$
The Rahman Polynomials Are Bispectral
Teichmüller Theory of Bordered Surfaces
Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions
Hidden Symmetries of Stochastic Models
Yangian of the Strange Lie Superalgebra of $Q_{n-1}$ Type, Drinfel'd Approach
Hamilton–Jacobi Theory and Moving Frames
Exact Solutions for Equations of Bose–Fermi Mixtures in One-Dimensional Optical Lattice
Skew Divided Difference Operators and Schubert Polynomials
Do All Integrable Evolution Equations Have the Painlevé Property?
Vadim Kuznetsov. Informal Biography by Eyes of His First Adviser
The Veldkamp Space of Two-Qubits
$\mathrm{SU}_2$ Nonstandard Bases: Case of Mutually Unbiased Bases
Global Stability of Dynamic Systems of High Order
Paths and Tableaux Descriptions of Jacobi–Trudi Determinant Associated with Quantum Affine Algebra of Type $C_n$
Clifford Algebras and Possible Kinematics
Bäcklund Transformation for the BC-Type Toda Lattice
Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference
Monodromy of a Class of Logarithmic Connections on an Elliptic Curve
Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media
Monogenic Functions in Conformal Geometry
An Additive Basis for the Chow Ring of $\overline{\mathcal M}_{0,2}(\mathbb P^r,2)$
On Transformations of the Rabelo Equations
Quantum Information from Graviton-Matter Gas
Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics
The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier–Jacobi Algebra
$Q$-Curvature, Spectral Invariants, and Representation Theory
Dimensional Reduction of Conformal Tensors and Einstein–Weyl Spaces
Miscellaneous Applications of Quons
Heat Trace Asymptotics on Noncommutative Spaces
Vacuum Energy as Spectral Geometry
Stanilov–Tsankov–Videv Theory
Lagrangian Approach to Dispersionless KdV Hierarchy
Differential Invariants of Conformal and Projective Surfaces
Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
From Holonomy of the Ising Model Form Factors to $n$-Fold Integrals and the Theory of Elliptic Curves
Conformal Dirichlet–Neumann Maps and Poincaré–Einstein Manifolds
Toeplitz Operators, Kähler Manifolds, and Line Bundles
Translation to Bundle Operators
Geometric Linearization of Ordinary Differential Equations
Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary
Wavelet-Based Quantum Field Theory
Biorthogonal Expansion of Non-Symmetric Jack Functions
Singular Potentials in Quantum Mechanics and Ambiguity in the Self-Adjoint Hamiltonian
Straight Quantum Waveguide with Robin Boundary Conditions
Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions
Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem
Curved Casimir Operators and the BGG Machinery
Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels
Symmetries and Invariant Differential Pairings
Some Sharp $L^2$ Inequalities for Dirac Type Operators
Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner–Nordström Metric and
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation
On Gauss–Bonnet Curvatures
Branson's $Q$-curvature in Riemannian and Spin Geometry
Conformal Metrics with Constant $Q$-Curvature
Conformal Powers of the Laplacian via Stereographic Projection
Some Progress in Conformal Geometry
Integrability and Diffeomorphisms on Target Space
Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers of Force
WKB Approximation in Noncommutative Gravity
Faster than Hermitian Time Evolution
On 1-Harmonic Functions