Geodesic

Tome 12 (2016)

Sommaire

Initial Value Problems for Integrable Systems on a Semi-Strip
On Some Quadratic Algebras I $\frac{1}{2}$: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss–Catalan, Universal Tutte and Reduced Polynomials
Doubling (Dual) Hahn Polynomials: Classification and Applications
Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories
Weighted Tensor Products of Joyal Species, Graphs, and Charades
Extended Cosmologies
Automorphisms of $\mathbb{C}^*$ Moduli Spaces Associated to a Riemann Surface
Orthogonal vs. Non-Orthogonal Reducibility of Matrix-Valued Measures
Bipolar Lawson Tau-Surfaces and Generalized Lawson Tau-Surfaces
Quasi-Bi-Hamiltonian Structures of the 2-Dimensional Kepler Problem
Quantum Curve and the First Painlevé Equation
The Hojman Construction and Hamiltonization of Nonholonomic Systems
Separability in Riemannian Manifolds
Hom-Big Brackets: Theory and Applications
Non-Associative Geometry of Quantum Tori
On the Chern–Gauss–Bonnet Theorem and Conformally Twisted Spectral Triples for $C^*$-Dynamical Systems
Rigid HYM Connections on Tautological Bundles over ALE Crepant Resolutions in Dimension Three
A Geometric Characterization of Certain First Integrals for Nonholonomic Systems with Symmetries
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations
Classes of Bivariate Orthogonal Polynomials
Hierarchies of Manakov–Santini Type by Means of Rota–Baxter and Other Identities
Haantjes Structures for the Jacobi–Calogero Model and the Benenti Systems
Nijenhuis Integrability for Killing Tensors
Loops in SU(2), Riemann Surfaces, and Factorization, I
Basic Forms and Orbit Spaces: a Diffeological Approach
A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero–Moser System
From Principal Series to Finite-Dimensional Solutions of the Yang–Baxter Equation
Flat $(2,3,5)$-Distributions and Chazy's Equations
Polynomial Invariants for Arbitrary Rank $D$ Weakly-Colored Stranded Graphs
Random Matrices with Merging Singularities and the Painlevé V Equation
Meta-Symplectic Geometry of $3^{\mathrm{rd}}$ Order Monge–Ampère Equations and their Characteristics
Orthogonality Measure on the Torus for Vector-Valued Jack Polynomials
Notes on Schubert, Grothendieck and Key Polynomials
Generalized Stieltjes Transforms of Compactly-Supported Probability Distributions: Further Examples
The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions
The Transition Probability of the $q$-TAZRP ($q$-Bosons) with Inhomogeneous Jump Rates
Bôcher Contractions of Conformally Superintegrable Laplace Equations
Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
Toda Equations and Piecewise Polynomiality for Mixed Double Hurwitz Numbers
Are Orthogonal Separable Coordinates Really Classified?
Zeros of Quasi-Orthogonal Jacobi Polynomials
One-Step Recurrences for Stationary Random Fields on the Sphere
Polynomial Sequences Associated with the Moments of Hypergeometric Weights
Variational Sequences, Representation Sequences and Applications in Physics
The Asymptotic Expansion of Kummer Functions for Large Values of the $a$-Parameter, and Remarks on a Paper by Olver
Nonstandard Deformed Oscillators from $q$- and $p,q$-Deformations of Heisenberg Algebra
Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases
Shell Polynomials and Dual Birth-Death Processes
Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials
Hypergeometric $\tau$ Functions of the $q$-Painlevé Systems of Types $A_4^{(1)}$ and $(A_1+A_1')^{(1)}$
Hypergeometric Differential Equation and New Identities for the Coefficients of Nørlund and Bühring
Universal Lie Formulas for Higher Antibrackets
Multidimensional Toda Lattices: Continuous and Discrete Time
A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank
The Multi-Orientable Random Tensor Model, a Review
Singular Instantons and Painlevé VI
Reflection Positive Stochastic Processes Indexed by Lie Groups
Noncommutative Differential Geometry of Generalized Weyl Algebras
Modular Form Representation for Periods of Hyperelliptic Integrals
Geometric Monodromy around the Tropical Limit
Skew-Zigzag Algebras
Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature
Balanced Metric and Berezin Quantization on the Siegel–Jacobi Ball
A Vector Equilibrium Problem for Muttalib–Borodin Biorthogonal Ensembles
Periodic GMP Matrices
Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients
Exact Renormalisation Group Equations and Loop Equations for Tensor Models
Random Tensors and Quantum Gravity
Flowing in Group Field Theory Space: a Review
Report from the Open Problems Session at OPSFA13
Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve
Large $N$ Limits in Tensor Models: Towards More Universality Classes of Colored Triangulations in Dimension $d\geq 2$
On Time Correlations for KPZ Growth in One Dimension
Orthogonal Polynomials Associated with Complementary Chain Sequences
$(D+1)$-Colored Graphs – a Review of Sundry Properties
Solvable Structures Associated to the Nonsolvable Symmetry Algebra $\mathfrak{sl}(2,\mathbb{R})$
An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles
A Hypergeometric Integral with Applications to the Fundamental Solution of Laplace's Equation on Hyperspheres
Möbius Invariants of Shapes and Images
Born–Jordan and Weyl Quantizations of the 2D Anisotropic Harmonic Oscillator
Quantum Cosmology from Group Field Theory Condensates: a Review
On the Scaling Limits of Determinantal Point Processes with Kernels Induced by Sturm–Liouville Operators
Bruhat Order in the Full Symmetric $\mathfrak{sl}_n$ Toda Lattice on Partial Flag Space
Constructive Tensor Field Theory
On Jacobi Inversion Formulae for Telescopic Curves
Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart
A Duflo Star Product for Poisson Groups
The Index of Dirac Operators on Incomplete Edge Spaces
Multivariate Orthogonal Polynomials and Modified Moment Functionals
Recursion Operators and Tri-Hamiltonian Structure of the First Heavenly Equation of Plebański
Further Properties and Applications of Koszul Pairs
Precise Deviations Results for the Maxima of Some Determinantal Point Processes: the Upper Tail
Invitation to Random Tensors
A Riemann–Hilbert Approach for the Novikov Equation
On Harmonic Analysis Operators in Laguerre–Dunkl and Laguerre-Symmetrized Settings
Fixed Point Algebras for Easy Quantum Groups
Variational Tricomplex, Global Symmetries and Conservation Laws of Gauge Systems
Multiple actions of the monodromy matrix in $\mathfrak{gl}(2|1)$-invariant integrable models
Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories
Uniform Asymptotic Expansion for the Incomplete Beta Function
Moments Match between the KPZ Equation and the Airy Point Process
Strictly Positive Definite Kernels on a Product of Spheres II
Continuous Choreographies as Limiting Solutions of $N$-body Type Problems with Weak Interaction
On the Tracy–Widom$_\beta$ Distribution for $\beta=6$
Polarisation of Graded Bundles
Geometry of $G$-Structures via the Intrinsic Torsion
From Conformal Group to Symmetries of Hypergeometric Type Equations
Smoothed Analysis for the Conjugate Gradient Algorithm
Commutation Relations and Discrete Garnier Systems
Hypergroups Related to a Pair of Compact Hypergroups
Integrability of Nonholonomic Heisenberg Type Systems
On Free Field Realizations of $W(2,2)$-Modules
Cartan Connections on Lie Groupoids and their Integrability
Un-Reduction of Systems of Second-Order Ordinary Differential Equations
The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
Orthogonal Separation of the Hamilton–Jacobi Equation on Spaces of Constant Curvature
On Asymptotic Regimes of Orthogonal Polynomials with Complex Varying Quartic Exponential Weight