Geodesic

Tome 14 (2018)

Sommaire

Asymptotic Formulas for Macdonald Polynomials and the Boundary of the $(q, t)$-Gelfand–Tsetlin Graph
Poles of Painlevé IV Rationals and their Distribution
Manifold Ways to Darboux–Halphen System
Reconstructing a Lattice Equation: a Non-Autonomous Approach to the Hietarinta Equation
Poisson Geometry Related to Atiyah Sequences
On the TASEP with Second Class Particles
Alvis–Curtis Duality for Finite General Linear Groups and a Generalized Mullineux Involution
Darboux Integrability of Trapezoidal $H^{4}$ and $H^{6}$ Families of Lattice Equations II: General Solutions
Dual Polar Graphs, a nil-DAHA of Rank One, and Non-Symmetric Dual $q$-Krawtchouk Polynomials
Some Remarks on the Total CR $Q$ and $Q^\prime$-Curvatures
Series Solutions of the Non-Stationary Heun Equation
$k$-Dirac Complexes
Elliptic Hypergeometric Sum/Integral Transformations and Supersymmetric Lens Index
Categorical Tori
Billiards and Tilting Characters for $\mathrm{SL}_3$
Classifying Toric and Semitoric Fans by Lifting Equations from $\mathrm{SL}_2({\mathbb Z})$
Evolutionary Hirota Type $(2+1)$-Dimensional Equations: Lax Pairs, Recursion Operators and Bi-Hamiltonian Structures
Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity
Multivariate Quadratic Transformations and the Interpolation Kernel
Special Solutions of Bi-Riccati Delay-Differential Equations
Nonlinear Stability of Relative Equilibria and Isomorphic Vector Fields
Poisson Algebras and 3D Superintegrable Hamiltonian Systems
On the Linearization Covering Technique and its Application to Integrable Nonlinear Differential Systems
Fourier Series of Gegenbauer–Sobolev Polynomials
Elliptic Well-Poised Bailey Transforms and Lemmas on Root Systems
Hopf Algebroid Twists for Deformation Quantization of Linear Poisson Structures
Hopf Algebras which Factorize through the Taft Algebra $T_{m^{2}}(q)$ and the Group Hopf Algebra $K[C_{n}]$
One of the Odd Zeta Values from $\zeta(5)$ to $\zeta(25)$ Is Irrational. By Elementary Means
On the Symplectic Structures in Frame Bundles and the Finite Dimension of Basic Symplectic Cohomologies
$\mathrm{SL}(2,\mathbb{C})$ Gustafson Integrals
Cartan Prolongation of a Family of Curves Acquiring a Node
Elliptically Distributed Lozenge Tilings of a Hexagon
The Duals of the 2-Modular Irreducible Modules of the Alternating Groups
Results Concerning Almost Complex Structures on the Six-Sphere
On Basic Fourier–Bessel Expansions
Surface Defects in E-String Compactifications and the van Diejen Model
Singular Geometry and Higgs Bundles in String Theory
Homomorphisms from Specht Modules to Signed Young Permutation Modules
Movable vs Monodromy Nilpotent Cones of Calabi–Yau Manifolds
$({\mathfrak{gl}}_M, {\mathfrak{gl}}_N)$-Dualities in Gaudin Models with Irregular Singularities
A Variational Principle for Discrete Integrable Systems
Higher Derivatives of Airy Functions and of their Products
The Hyperbolic Asymptotics of Elliptic Hypergeometric Integrals Arising in Supersymmetric Gauge Theory
The $q$-Onsager Algebra and the Universal Askey–Wilson Algebra
A $\tau$-Tilting Approach to Dissections of Polygons
Lower Bounds for Numbers of Real Self-Dual Spaces in Problems of Schubert Calculus
On the Strong Ratio Limit Property for Discrete-Time Birth-Death Processes
Recurrence Relations for Wronskian Hermite Polynomials
Jacobi–Trudi Identity in Super Chern–Simons Matrix Model
Evaluation of Certain Hypergeometric Functions over Finite Fields
Quasi-Orthogonality of Some Hypergeometric and $q$-Hypergeometric Polynomials
The Determinant of an Elliptic Sylvesteresque Matrix
A Spin Analogue of Kerov Polynomials
Modified Algebraic Bethe Ansatz: Twisted XXX Case
The Künneth Formula for the Twisted de Rham and Higgs Cohomologies
Asymptotics of Polynomials Orthogonal with respect to a Logarithmic Weight
Dihedral Group, $4$-Torsion on an Elliptic Curve, and a Peculiar Eigenform Modulo $4$
Fuchsian Equations with Three Non-Apparent Singularities
Dressing the Dressing Chain
$(2+)$-Replication and the Baby Monster
On $q$-Deformations of the Heun Equation
Lie Algebroid Invariants for Subgeometry
$d$-Orthogonal Analogs of Classical Orthogonal Polynomials
The Functional Method for the Domain-Wall Partition Function
On the Coprimeness Property of Discrete Systems without the Irreducibility Condition
Quantum Klein Space and Superspace
Tetrahedron Equation and Quantum $R$ Matrices for $q$-Oscillator Representations Mixing Particles and Holes
Numerical Approach to Painlevé Transcendents on Unbounded Domains
Loop Models and $K$-Theory
The Solution of Hilbert's Fifth Problem for Transitive Groupoids
The Chevalley–Weil Formula for Orbifold Curves
Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions
Asymptotic Expansions of Jacobi Polynomials for Large Values of $\beta$ and of Their Zeros
On Regularization of Second Kind Integrals
On Some Applications of Sakai's Geometric Theory of Discrete Painlevé Equations
The Toda and Painlevé Systems Associated with Semiclassical Matrix-Valued Orthogonal Polynomials of Laguerre Type
Connection Formula for the Jackson Integral of Type $A_n$ and Elliptic Lagrange Interpolation
$t$-Unique Reductions for Mészáros's Subdivision Algebra
Metrized Quantum Vector Bundles over Quantum Tori Built from Riemannian Metrics and Rosenberg's Levi–Civita Connections
Differential Geometric Aspects of Causal Structures
Local Type I Metrics with Holonomy in $\mathrm{G}_{2}^*$
A Matrix Baker–Akhiezer Function Associated with the Maxwell–Bloch Equations and their Finite-Gap Solutions
Thinplate Splines on the Sphere
Faithful Semitoric Systems
Renormalization of the Hutchinson Operator
A Hypergeometric Versionof the Modularity of Rigid Calabi–Yau Manifolds
Notes on Non-Generic Isomonodromy Deformations
Discrete Orthogonal Polynomials with Hypergeometric Weights and Painlevé VI
On Lagrangians with Reduced-Order Euler–Lagrange Equations
Computing Special $L$-Values of Certain Modular Forms with Complex Multiplication
Painlevé IV Critical Asymptotics for Orthogonal Polynomials in the Complex Plane
An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals
A Riemann–Hilbert Approach to the Heun Equation
Higher Obstructions of Complex Supermanifolds
Tronquée Solutions of the Third and Fourth Painlevé Equations
The Variational Bi-Complex for Systems of Semi-Linear Hyperbolic PDEs in Three Variables
A Note on the Formal Groups of Weighted Delsarte Threefolds
Anti-Yetter–Drinfeld Modules for Quasi-Hopf Algebras
Generalized Lennard-Jones Potentials, SUSYQM and Differential Galois Theory
Morita Equivalent Blocks of Symmetric Groups
Macdonald Polynomials of Type $C_n$ with One-Column Diagrams and Deformed Catalan Numbers
Hesse Pencils and 3-Torsion Structures
Virtual Crystals and Nakajima Monomials
Drinfeld–Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials
Quantum Abelian Yang–Mills Theory on Riemannian Manifolds with Boundary
Generalized Hermite Polynomials and Monodromy-Free Schrödinger Operators
Large $z$ Asymptotics for Special Function Solutions of Painlevé II in the Complex Plane
Hyper-Algebras of Vector-Valued Modular Forms
Inverse of Infinite Hankel Moment Matrices
Zhegalkin Zebra Motives Digital Recordings of Mirror Symmetry
The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations
Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative
Three-Parameter Solutions of the PV Schlesinger-Type Equation near the Point at Infinity and the Monodromy Data
Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions
The Smallest Singular Values and Vector-Valued Jack Polynomials
Normal Functions over Locally Symmetric Varieties
Truncated Solutions of Painlevé Equation $\mathrm{P_V}$
Integral Regulators for Higher Chow Complexes
Initial-Boundary Value Problem for Stimulated Raman Scattering Model: Solvability of Whitham Type System of Equations Arising in Long-Time Asymptotic Analysis
Simple Lax Description of the ILW Hierarchy
Matrix Bailey Lemma and the Star-Triangle Relation
Quadratic Differential Equations in Three Variables without Multivalued Solutions: Part I
On Solutions of the Fuji–Suzuki–Tsuda System
Morita Invariance of Intrinsic Characteristic Classes of Lie Algebroids
On the Increasing Tritronquée Solutions of the Painlevé-II Equation
Structure Relations of Classical Orthogonal Polynomials in the Quadratic and $q$-Quadratic Variable
Parallels between Moduli of Quiver Representations and Vector Bundles over Curves
Deformations of Pre-Symplectic Structures: a Dirac Geometry Approach
Aspects of the Topology and Combinatorics of Higgs Bundle Moduli Spaces
On Gradings Modulo $2$ of Simple Lie Algebras in Characteristic $2$
Eigenvalue Problems for Lamé's Differential Equation
Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology
Field Theory with Coordinate Dependent Noncommutativity
A Product on Double Cosets of $B_\infty$
Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms
Fundamental Solutions and Gegenbauer Expansions of Helmholtz Operators in Riemannian Spaces of Constant Curvature
Singular Degenerations of Lie Supergroups of Type $D(2,1;a)$