Geodesic

Tome 9 (2013)

Sommaire

Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries
Invertible Darboux Transformations
From Quantum $A_N$ (Sutherland) to $E_8$ Trigonometric Model: Space-of-Orbits View
Dynamical Equations, Invariants and Spectrum Generating Algebras of Mechanical
Upper Bounds for Mutations of Potentials
On the $N$-Solitons Solutions in the Novikov–Veselov Equation
Vector-Valued Polynomials and a Matrix Weight Function with $B_2$-Action
The Construction of Spin Foam Vertex Amplitudes
Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
The Clifford Deformation of the Hermite Semigroup
On the $n$-Dimensional Porous Medium Diffusion Equation and Global Actions of the Symmetry Group
Specialized Orthonormal Frames and Embedding
Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics
Courant Algebroids. A Short History
On a Trivial Family of Noncommutative Integrable Systems
A Generalization of the Hopf–Cole Transformation
The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas
Bispectrality of the Complementary Bannai–Ito Polynomials
The Unruh Effect in General Boundary Quantum Field Theory
On a Seminal Paper by Karlin and McGregor
Ammann Tilings in Symplectic Geometry
Integrable Flows for Starlike Curves in Centroaffine Space
Object-Image Correspondence for Algebraic Curves under Projections
Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type
A Projection Argument for Differential Inclusions, with Applications to Persistence of Mass-Action Kinetics
A Quasi-Lie Schemes Approach to Second-Order Gambier Equations
$G$-Strands and Peakon Collisions on $\rm{Diff}\,(\mathbb{R})$
Free Fermi and Bose Fields in TQFT and GBF
Solving Local Equivalence Problems with the Equivariant Moving Frame Method
Pentagon Relations in Direct Sums and Grassmann Algebras
The Pascal Triangle of a Discrete Image: Definition, Properties and Application to Shape
On Orbifold Criteria for Symplectic Toric Quotients
The Symmetry Group of Lamé's System and the Associated Guichard Nets for Conformally Flat Hypersurfaces
Geometry of Optimal Control for Control-Affine Systems
On Addition Formulae of KP, mKP and BKP Hierarchies
On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces
A Note on the Automorphism Group of the Bielawski–Pidstrygach Quiver
Relative Critical Points
Drinfeld Doubles for Finite Subgroups of $\mathrm{SU}(2)$ and $\mathrm{SU}(3)$ Lie Groups
Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle
On the Linearization of Second-Order Ordinary Differential Equations to the Laguerre Form via Generalized Sundman Transformations
Fourier, Gegenbauer and Jacobi Expansions for a Power-Law Fundamental Solution of the Polyharmonic Equation and Polyspherical Addition Theorems
Vector-Valued Polynomials and a Matrix Weight Function with $B_{2}$-Action. II
Two-Dimensional Toda–Heisenberg Lattice
Euler Equations Related to the Generalized Neveu–Schwarz Algebra
On Addition Formulae for Sigma Functions of Telescopic Curves
The Universal Askey–Wilson Algebra and DAHA of Type $(C_1^{\vee},C_1)$
Combinatorial Formulae for Nested Bethe Vectors
A Common Structure in PBW Bases of the Nilpotent Subalgebra of $U_q(\mathfrak{g})$ and Quantized Algebra of Functions
A Connection Formula for the $q$-Confluent Hypergeometric Function
Twisted Cyclic Cohomology and Modular Fredholm Modules
Invariant Discretization Schemes Using Evolution–Projection Techniques
Parameterizing the Simplest Grassmann–Gaussian Relations for Pachner Move 3–3
Extended $T$-System of Type $G_2$
$\mathfrak{spo}(2|2)$-Equivariant Quantizations on the Supercircle $S^{1|2}$
Integrability of Discrete Equations Modulo a Prime
Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials
Bethe Vectors of Quantum Integrable Models with $\mathrm{GL}(3)$ Trigonometric $R$-Matrix
Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces
Generalized Fuzzy Torus and its Modular Properties
The Algebra of a $q$-Analogue of Multiple Harmonic Series
Period Matrices of Real Riemann Surfaces and Fundamental Domains
Leibniz Algebras and Lie Algebras
Dunkl-Type Operators with Projections Terms Associated to Orthogonal Subsystems in Roots System
Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1)
Symmetry and Intertwining Operators for the Nonlocal Gross–Pitaevskii Equation
An Index for Intersecting Branes in Matrix Models
Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations
Quasicomplex $\mathcal{N}=2$, $d=1$ Supersymmetric Sigma Models
Ultradiscrete Painlevé VI with Parity Variables
Levi-Civita's Theorem for Noncommutative Tori
Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
Direct Connection between the $\text{R}_{\text{II}}$ Chain and the Nonautonomous Discrete Modified KdV Lattice
The Infinitesimalization and Reconstruction of Locally Homogeneous Manifolds
Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors
Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian
Boundary Interactions for the Semi-Infinite $q$-Boson System and Hyperoctahedral Hall–Littlewood Polynomials
Integrable Hierarchy of the Quantum Benjamin–Ono Equation
A Centerless Virasoro Algebra of Master Symmetries for the Ablowitz–Ladik Hierarchy
Dirac Operators on Noncommutative Curved Spacetimes
Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure
Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models