Geodesic

Tome 13 (2017)

Sommaire

The Moments of the Hydrogen Atom by the Method of Brackets
Symmetries of the Space of Linear Symplectic Connections
The Profinite Dimensional Manifold Structure of Formal Solution Spaces of Formally Integrable PDEs
The Geometry of Almost Einstein $(2, 3, 5)$ Distributions
Twistor Geometry of Null Foliations in Complex Euclidean Space
Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure
Connected Lie Groupoids are Internally Connected and Integral Complete in Synthetic Differential Geometry
Classical and Quantum Superintegrability of Stäckel Systems
$q$-Difference Kac–Schwarz Operators in Topological String Theory
Classification of Multidimensional Darboux Transformations: First Order and Continued Type
Drinfeld J Presentation of Twisted Yangians
Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach
Bôcher and Abstract Contractions of $2$nd Order Quadratic Algebras
Twists on the Torus Equivariant under the $2$-Dimensional Crystallographic Point Groups
Bethe Vectors for Composite Models with $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(1|2)$ Supersymmetry
Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II
Klein's Fundamental $2$-Form of Second Kind for the $C_{ab}$ Curves
Ermakov–Painlevé II Symmetry Reduction of a Korteweg Capillarity System
Lagrangian Mechanics and Reductionon Fibered Manifolds
Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials
Central Configurations and Mutual Differences
$G$-Invariant Deformations of Almost-Coupling Poisson Structures
On Toric Poisson Structures of Type $(1,1)$ and their Cohomology
Doran–Harder–Thompson Conjecture via SYZ Mirror Symmetry: Elliptic Curves
Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation
Another Approach to Juhl's Conformally Covariant Differential Operators from $S^n$ to $S^{n-1}$
Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds
A Complete Set of Invariants for LU-Equivalence of Density Operators
Isomonodromy for the Degenerate Fifth Painlevé Equation
GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities
Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of $2d$ Quantum Integrable Systems
Local Generalized Symmetries and Locally Symmetric Parabolic Geometries
Contact Isotropic Realisations of Jacobi Manifolds via Spencer Operators
Formal Integrals and Noether Operators of Nonlinear Hyperbolic Partial Differential Systems Admitting a Rich Set of Symmetries
Liouville Correspondences between Integrable Hierarchies
Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation
Gustafson–Rakha-Type Elliptic Hypergeometric Series
Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential
Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions
A Linear System of Differential Equations Related to Vector-Valued Jack Polynomials on the Torus
Non-Commutative Vector Bundles for Non-Unital Algebras
On the Equivalence of Module Categories over a Group-Theoretical Fusion Category
Highest $\ell$-Weight Representations and Functional Relations
Integrable Structure of Multispecies Zero Range Process
Hodge Numbers from Picard–Fuchs Equations
The Malgrange Form and Fredholm Determinants
Check-Operators and Quantum Spectral Curves
Equivariant Gromov–Witten Invariants of Algebraic GKM Manifolds
On the Spectra of Real and Complex Lamé Operators
Topology of Functions with Isolated Critical Points on the Boundary of a 2-Dimensional Manifold
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice
A Combinatorial Study on Quiver Varieties
Symmetries of the Hirota Difference Equation
Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models
Global Existence of Bi-Hamiltonian Structures on Orientable Three-Dimensional Manifolds
Zero Range Process and Multi-Dimensional Random Walks
On Reductions of the Hirota–Miwa Equation
Relativistic DNLS and Kaup–Newell Hierarchy
Remarks on Contact and Jacobi Geometry
Integrability, Quantization and Moduli Spaces of Curves
An Energy Gap for Complex Yang–Mills Equations
Part III, Free Actions of Compact Quantum Groups on $\mathrm{C}^*$-Algebras
The Fock–Rosly Poisson Structure as Defined by a Quasi-Triangular $r$-Matrix
A Generalization of the Doubling Construction for Sums of Squares Identities
Rational Solutions of the Painlevé-II Equation Revisited
Asymptotic Representations of Quantum Affine Superalgebras
Minuscule Schubert Varieties and Mirror Symmetry
Null Angular Momentum and Weak KAM Solutions of the Newtonian $N$-Body Problem
An Elliptic Garnier System from Interpolation
Restriction of Odd Degree Characters of $\mathfrak{S}_n$
$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation
On the Automorphisms of a Rank One Deligne–Hitchin Moduli Space
Classification of a Subclass of Two-Dimensional Lattices via Characteristic Lie Rings
Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
Derivations and Spectral Triples on Quantum Domains I: Quantum Disk
Factorizable $R$-Matrices for Small Quantum Groups
Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians
Rational Solutions to the ABS List: Transformation Approach
Elliptic Determinantal Processes and Elliptic Dyson Models
Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality
A Projective-to-Conformal Fefferman-Type Construction
Differential Calculus on $\mathbf{h}$-Deformed Spaces
Twists of Elliptic Curves
Realization of $U_q({\mathfrak{sp}}_{2n})$ within the Differential Algebra on Quantum Symplectic Space
The Inverse Spectral Problem for Jacobi-Type Pencils
Parallelisms Lie Connections
Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces
Positive Definite Functions on Complex Spheres and their Walks through Dimensions
A Universal Genus-Two Curve from Siegel Modular Forms
Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle
James' Submodule Theorem and the Steinberg Module
A Variation of the $q$-Painlevé System with Affine Weyl Group Symmetry of Type $E_7^{(1)}$
Orbital Linearization of Smooth Completely Integrable Vector Fields
Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
The Chazy XII Equation and Schwarz Triangle Functions
Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji–Suzuki Systems
An Application of the Moving Frame Method to Integral Geometry in the Heisenberg Group
On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids
Contractions of Degenerate Quadratic Algebras, Abstract and Geometric