Geodesic

Tome 8 (2012)

Sommaire

Numerical techniques in loop quantum cosmology
Discretisations, constraints and diffeomorphisms in quantum gravity
Supersymmetric proof of the Hirzebruch–Riemann–Roch theorem for non-Kähler manifolds
On a Lie algebraic characterization of vector bundles
Entropy of quantum black holes
On Lie algebroids and Poisson algebras
On the dimension of the group of projective transformations of closed randers and Riemannian manifolds
Discrete spectral transformations of skew orthogonal polynomials and associated discrete integrable systems
Lessons from toy-models for the dynamics of loop quantum gravity
Matter in loop quantum gravity
Deformation quantization by Moyal star-product and Stratonovich chaos
New variables of separation for the Steklov–Lyapunov system
Exponential formulas and Lie algebra type star products
Emergent braided matter of quantum geometry
Learning about quantum gravity with a couple of nodes
Introduction to loop quantum cosmology
Relational observables in gravity: a review
Intersecting quantum gravity with noncommutative geometry – a review
Tippe Top equations and equations for the related mechanical systems
Colored tensor models – a review
Lagrange anchor and characteristic symmetries of free massless fields
Conformally equivariant quantization – a complete classification
Classification of traces and associated determinants on odd-class operators in odd dimensions
Novel possibility of nonstandard statistics in the inflationary spectrum of primordial inhomogeneities
Deformed $\mathfrak{su}(1,1)$ algebra as a model for quantum oscillators
Loop quantum gravity vacuum with nondegenerate geometry
Emergent models for gravity: an overview of microscopic models
Polynomial relations for $q$-characters via the ODE/IM correspondence
Orbit representations from linear mod 1 transformations
Motions of curves in the projective plane. Inducing the Kaup–Kupershmidt hierarchy
Superintegrable Stäckel systems on the plane: elliptic and parabolic coordinates
On the relations between gravity and BF theories
A top-down account of linear canonical transforms
Structure theory for extended Kepler–Coulomb 3D classical superintegrable systems
A note on the first integrals of vector fields with integrating factors and normalizers
CKP hierarchy, bosonic tau function and bosonization formulae
Building Abelian functions with generalised Baker–Hirota operators
On free pseudo-product fundamental graded Lie algebras
Some remarks on very-well-poised ${}_8\phi_7$ series
The vertex algebra $m(1)^+$ and certain affine vertex algebras of level $-1$
Harmonic oscillator SUSY partners and evolution loops
On the orthogonality of $q$-classical polynomials of the Hahn class
Darboux integrals for Schrödinger planar vector fields via Darboux transformations
Commuting differential operators of rank 3 associated to a curve of genus 2
High-energy string scattering amplitudes and signless Stirling number identity
Another new solvable many-body model of goldfish type
Mutations of Laurent polynomials and flat families with toric fibers
Isolated horizons and black hole entropy in Loop Quantum Gravity
Hermite and Laguerre symmetric functions associated with operators of Calogero–Moser–Sutherland type
Holomorphic quantization of linear field theory in the general boundary formulation
A two-component generalization of the integrable rdDym equation
Discrete gravity models and Loop Quantum Gravity: a short review
Examples of matrix factorizations from SYZ
Discrete integrable equations over finite fields
Spin foams and canonical quantization
Monodromy of an inhomogeneous Picard–Fuchs equation
A $2+1$-dimensional non-isothermal magnetogasdynamic system. Hamiltonian–Ermakov integrable reduction
Hidden symmetries of Euclideanised Kerr-NUT-(A)dS metrics in certain scaling limits
Formal integrability for the nonautonomous case of the inverse problem of the calculus of variations
Ladder operators for quantum systems confined by dihedral angles
Spectral analysis of certain Schrödinger operators
Affine and finite Lie algebras and integrable Toda field equations on discrete space-time
Singular isotonic oscillator, supersymmetry and superintegrability
Classification of non-affine non-Hecke dynamical $R$-matrices
Bring's curve: its period matrix and the vector of Riemann constants
A new class of solvable many-body problems
Discrete Fourier analysis and Chebyshev polynomials with $G_2$ group
Recent developments in (0,2) mirror symmetry
Complex SUSY transformations and the Painlevé IV equation
Superintegrable extensions of superintegrable systems
Conservation laws, hodograph transformation and boundary value problems of plane plasticity
KZ characteristic variety as the zero set of classical Calogero–Moser Hamiltonians
Application of the $B$-determining equations method to one problem of free turbulence
Ladder operators for Lamé spheroconal harmonic polynomials
Sylvester versus Gundelfinger
Recursion operators and Frobenius manifolds
Definite integrals using orthogonality and integral transforms
Frobenius 3-folds via singular flat 3-webs
Rational Calogero–Moser model: explicit form and $r$-matrix of the second Poisson structure
Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen–Morse II and Eckart potentials
Entanglement properties of a higher-integer-spin AKLT model with quantum group symmetry
Solutions of the Dirac equation in a magnetic field and intertwining operators
`Magic' configurations of three-qubit observables and geometric hyperplanes of the smallest split Cayley hexagon
Quasi-Grammian Solutions of the Generalized Coupled Dispersionless Integrable System
Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
On Affine Fusion and the Phase Model
Geometric Theory of the Recursion Operators for the Generalized Zakharov–Shabat System in Pole Gauge on the Algebra $\mathrm{sl}(n,\mathbb C)$ with and without Reductions
Nekrasov's Partition Function and Refined Donaldson–Thomas Theory: the Rank One Case
Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables
The Klein–Gordon Equation and Differential Substitutions of the Form $v=\varphi(u,u_x,u_y)$
Covariant Fields of $C^*$-Algebras under Rieffel Deformation
Orthogonal Basic Hypergeometric Laurent Polynomials
Coherent States for Tremblay–Turbiner–Winternitz Potential
Minkowski Polynomials and Mutations
Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles
Time-Frequency Integrals and the Stationary Phase Method in Problems of Waves Propagation from Moving Sources
Construction of a Lax Pair for the $E_6^{(1)}$ $q$-Painlevé System
Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
On the Number of Real Roots of the Yablonskii–Vorob'ev Polynomials
Geometry of Spectral Curves and All Order Dispersive Integrable System
Renormalization Method and Mirror Symmetry
Old and New Reductions of Dispersionless Toda Hierarchy
Whitham's Method and Dubrovin–Novikov Bracket in Single-Phase and Multiphase Cases
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras
Separation of Variables and Contractions on Two-Dimensional Hyperboloid
Nonlocal Symmetries, Telescopic Vector Fields and $\lambda$-Symmetries of Ordinary Differential Equations