Geodesic

Tome 6 (2010)

Sommaire

Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements
On a Nonlocal Ostrovsky–Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability
Modularity, Atomicity and States in Archimedean Lattice Effect Algebras
Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models
Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups
Peterson's Deformations of Higher Dimensional Quadrics
Quantum Isometry Group for Spectral Triples with Real Structu
On Special Berwald Metrics
$\mathcal P\mathcal T$ Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues
$q$-Analog of Gelfand–Graev Basis for the Noncompact Quantum Algebra $U_q(u(n,1))$
Krein Spaces in de Sitter Quantum Theories
Bäcklund Transformations for the Trigonometric Gaudin Magnet
Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for $A^{(1)}_n$
$Q$-system Cluster Algebras, Paths and Total Positivity
Anharmonic Oscillators with Infinitely Many Real Eigenvalues and $\mathcal{PT}$-Symmetry
From Noncommutative Sphere to Nonrelativistic Spin
Solitary Waves in Massive Nonlinear $\mathbb S^N$-Sigma Models
The Integrability of New Two-Component KdV Equation
Emergent Abelian Gauge Fields from Noncommutative Gravity
Geodesic Reduction via Frame Bundle Geometry
On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group
Zero Action on Perfect Crystals for $U_q(G_2^{(1)})$
Epsilon Systems on Geometric Crystals of type $A_n$
Ordering of Energy Levels for Extended $\mathrm{SU}(N)$ Hubbard Chain
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves
Spectral Distances: Results for Moyal Plane and Noncommutative Torus
Level Set Structure of an Integrable Cellular Automaton
Yang–Baxter Maps from the Discrete BKP Equation
Jordan–Schwinger Representations and Factorised Yang–Baxter Operators
Baker–Akhiezer Modules on Rational Varieties
On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff–Love Constraints
A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds
On Quadrirational Yang–Baxter Maps
The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces
Monomial Crystals and Partition Crystals
Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions
One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative $p^{-2}$ $U(1)$ Gauge Model
Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
Integral calculus on $E_q(2)$
Strong Field, Noncommutative QED
Discrete Minimal Surface Algebras
Supersymmetry of Affine Toda Models as Fermionic Symmetry Flows of the Extended mKdV Hierarchy
Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
The Noncommutative Ward Metric
The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation
Translation-Invariant Noncommutative Renormalization
On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
Finite Unification: Theory and Predictions
The Multitrace Matrix Model of Scalar Field Theory on Fuzzy $\mathbb CP^n$
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
Quantum Fields on Noncommutative Spacetimes: Theory and Phenomenology
Cosmological Symmetry Breaking and Generation of Electromagnetic Field
Horizontal Forms of Chern Type on Complex Finsler Bundles
Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions
A Note on Dirac Operators on the Quantum Punctured Disk
A View on Optimal Transport from Noncommutative Geometry
Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
Noncommutativity and Duality through the Symplectic Embedding Formalism
Exotic Galilean Symmetry and Non-Commutative Mechanics
Field Theory on Curved Noncommutative Spacetimes
Gauge Theories on Deformed Spaces
Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry
Double Affine Hecke Algebras of Rank 1 and the $\mathbb Z_3$-Symmetric Askey–Wilson Relations
Tools for Verifying Classical and Quantum Superintegrability
Modular Theory, Non-Commutative Geometry and Quantum Gravity
Twist Quantization of String and Hopf Algebraic Symmetry
Balanced Metrics and Noncommutative Kähler Geometry
$C$-Integrability Test for Discrete Equations via Multiple Scale Expansions
Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
Measure Theory in Noncommutative Spaces
Quantum Spacetime: a Disambiguation
Snyder Space-Time: K-Loop and Lie Triple System
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
Erlangen Program at Large-1: Geometry of Invariants
A Canonical Trace Associated with Certain Spectral Triples
A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function ${}_{n+1}F_n$
Non-Perturbative Asymptotic Improvement of Perturbation Theory and Mellin–Barnes Representation
Quantum Integrable 1D anyonic Models: Construction through Braided Yang–Baxter Equation
Singular Reduction of Generalized Complex Manifolds
Universal Low Temperature Asymptotics of the Correlation Functions of the Heisenberg Chain
The Noncommutative Doplicher–Fredenhagen–Roberts–Amorim Space
Hypergeometric $\tau$ Functions of the $q$-Painlevé Systems of Type $(A_2+A_1)^{(1)}$
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems
$\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
Quiver Varieties with Multiplicities, Weyl Groups of Non-Symmetric Kac–Moody Algebras, and Painlevé Equations
Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability
Junction Type Representations of the Temperley–Lieb Algebra and Associated Symmetries
On a Family of $2$-Variable Orthogonal Krawtchouk Polynomials
One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane–Shastry Like Spin Chains
On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
Pseudo-Bosons from Landau Levels
Universal Bethe Ansatz and Scalar Products of Bethe Vectors
Irrationality of the Roots of the Yablonskii–Vorob'ev Polynomials and Relations between Them
Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States
A Family of Exactly Solvable Radial Quantum Systems on Space of Non-Constant Curvature with Accidental Degeneracy in the Spectrum
Multi-Well Potentials in Quantum Mechanics and Stochastic Processes
Notes on TQFT Wire Models and Coherence Equations for $SU(3)$ Triangular Cells
Sklyanin Determinant for Reflection Algebra