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Symmetry, integrability and geometry: methods and applications
Tome 14 (2018)
Précédent Suivant


Asymptotic Formulas for Macdonald Polynomials and the Boundary of the $(q, t)$-Gelfand–Tsetlin Graph
Cesar Cuenca

Poles of Painlevé IV Rationals and their Distribution
Davide Masoero ; Pieter Roffelsen

Manifold Ways to Darboux–Halphen System
John Alexander Cruz Morales ; Hossein Movasati ; Younes Nikdelan ; Raij Roychowdhury ; Marcus A. C. Torres

Reconstructing a Lattice Equation: a Non-Autonomous Approach to the Hietarinta Equation
Giorgio Gubbiotti ; Christian Scimiterna

Poisson Geometry Related to Atiyah Sequences
Kirill Mackenzie ; Anatol Odzijewicz ; Aneta Sliżewska

On the TASEP with Second Class Particles
Eunghyun Lee

Alvis–Curtis Duality for Finite General Linear Groups and a Generalized Mullineux Involution
Olivier Dudas ; Nicolas Jacon

Darboux Integrability of Trapezoidal $H^{4}$ and $H^{6}$ Families of Lattice Equations II: General Solutions
Giorgio Gubbiotti ; Christian Scimiterna ; Ravil I. Yamilov

Dual Polar Graphs, a nil-DAHA of Rank One, and Non-Symmetric Dual $q$-Krawtchouk Polynomials
Jae-Ho Lee ; Hajime Tanaka

Some Remarks on the Total CR $Q$ and $Q^\prime$-Curvatures
Taiji Marugame

Series Solutions of the Non-Stationary Heun Equation
Farrokh Atai ; Edwin Langmann

$k$-Dirac Complexes
Tomáš Salač

Elliptic Hypergeometric Sum/Integral Transformations and Supersymmetric Lens Index
Andrew P. Kels ; Masahito Yamazaki

Categorical Tori
Nora Ganter

Billiards and Tilting Characters for $\mathrm{SL}_3$
George Lusztig ; Geordie Williamson

Classifying Toric and Semitoric Fans by Lifting Equations from $\mathrm{SL}_2({\mathbb Z})$
Daniel M. Kane ; Joseph Palmer ; Álvaro Pelayo

Evolutionary Hirota Type $(2+1)$-Dimensional Equations: Lax Pairs, Recursion Operators and Bi-Hamiltonian Structures
Mikhail B. Sheftel ; Devrim Yazici

Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity
Christophe Charlier ; Alfredo Deaño

Multivariate Quadratic Transformations and the Interpolation Kernel
Eric M. Rains

Special Solutions of Bi-Riccati Delay-Differential Equations
Bjorn K. Berntson

Nonlinear Stability of Relative Equilibria and Isomorphic Vector Fields
Stefan Klajbor-Goderich

Poisson Algebras and 3D Superintegrable Hamiltonian Systems
Allan P. Fordy ; Qing Huang

On the Linearization Covering Technique and its Application to Integrable Nonlinear Differential Systems
Anatolij K. Prykarpatski

Fourier Series of Gegenbauer–Sobolev Polynomials
Óscar Ciaurri ; Judit Mínguez

Elliptic Well-Poised Bailey Transforms and Lemmas on Root Systems
Gaurav Bhatnagar ; Michael J. Schlosser

Hopf Algebroid Twists for Deformation Quantization of Linear Poisson Structures
Stjepan Meljanac ; Zoran Škoda

Hopf Algebras which Factorize through the Taft Algebra $T_{m^{2}}(q)$ and the Group Hopf Algebra $K[C_{n}]$
Ana-Loredana Agore

One of the Odd Zeta Values from $\zeta(5)$ to $\zeta(25)$ Is Irrational. By Elementary Means
Wadim Zudilin

On the Symplectic Structures in Frame Bundles and the Finite Dimension of Basic Symplectic Cohomologies
Andrzej Czarnecki

$\mathrm{SL}(2,\mathbb{C})$ Gustafson Integrals
Sergey É. Derkachov ; Alexander N. Manashov ; Pavel A. Valinevich

Cartan Prolongation of a Family of Curves Acquiring a Node
Susan Jane Colley ; Gary Kennedy

Elliptically Distributed Lozenge Tilings of a Hexagon
Dan Betea

The Duals of the 2-Modular Irreducible Modules of the Alternating Groups
John Murray

Results Concerning Almost Complex Structures on the Six-Sphere
Scott O. Wilson

On Basic Fourier–Bessel Expansions
José Luis Cardoso

Surface Defects in E-String Compactifications and the van Diejen Model
Belal Nazzal ; Shlomo S. Razamat

Singular Geometry and Higgs Bundles in String Theory
Lara B. Anderson ; Mboyo Esole ; Laura Fredrickson ; Laura P. Schaposnik

Homomorphisms from Specht Modules to Signed Young Permutation Modules
Kay Jin Lim ; Kai Meng Tan

Movable vs Monodromy Nilpotent Cones of Calabi–Yau Manifolds
Shinobu Hosono ; Hiromichi Takagi

$({\mathfrak{gl}}_M, {\mathfrak{gl}}_N)$-Dualities in Gaudin Models with Irregular Singularities
Benoît Vicedo ; Charles Young

A Variational Principle for Discrete Integrable Systems
Sarah B. Lobb ; Frank W. Nijhoff

Higher Derivatives of Airy Functions and of their Products
Eugeny G. Abramochkin ; Evgeniya V. Razueva

The Hyperbolic Asymptotics of Elliptic Hypergeometric Integrals Arising in Supersymmetric Gauge Theory
Arash Arabi Ardehali

The $q$-Onsager Algebra and the Universal Askey–Wilson Algebra
Paul Terwilliger

A $\tau$-Tilting Approach to Dissections of Polygons
Vincent Pilaud ; Pierre-Guy Plamondon ; Salvatore Stella

Lower Bounds for Numbers of Real Self-Dual Spaces in Problems of Schubert Calculus
Kang Lu

On the Strong Ratio Limit Property for Discrete-Time Birth-Death Processes
Erik A. van Doorn

Recurrence Relations for Wronskian Hermite Polynomials
Niels Bonneux ; Marco Stevens

Jacobi–Trudi Identity in Super Chern–Simons Matrix Model
Tomohiro Furukawa ; Sanefumi Moriyama

Evaluation of Certain Hypergeometric Functions over Finite Fields
Fang-Ting Tu ; Yifan Yang

Quasi-Orthogonality of Some Hypergeometric and $q$-Hypergeometric Polynomials
Daniel D. Tcheutia ; Alta S. Jooste ; Wolfram Koepf

The Determinant of an Elliptic Sylvesteresque Matrix
Gaurav Bhatnagar ; Christian Krattenthaler

A Spin Analogue of Kerov Polynomials
Sho Matsumoto

Modified Algebraic Bethe Ansatz: Twisted XXX Case
Samuel Belliard ; Nikita A. Slavnov ; Benoit Vallet

The Künneth Formula for the Twisted de Rham and Higgs Cohomologies
Kai-Chieh Chen ; Jeng-Daw Yu

Asymptotics of Polynomials Orthogonal with respect to a Logarithmic Weight
Thomas Oliver Conway ; Percy Deift

Dihedral Group, $4$-Torsion on an Elliptic Curve, and a Peculiar Eigenform Modulo $4$
Ian Kiming ; Nadim Rustom

Fuchsian Equations with Three Non-Apparent Singularities
Alexandre Eremenko ; Vitaly Tarasov

Dressing the Dressing Chain
Charalampos A. Evripidou ; Peter H. van der Kamp ; Cheng Zhang

$(2+)$-Replication and the Baby Monster
Chris Cummins ; Rodrigo Matias

On $q$-Deformations of the Heun Equation
Kouichi Takemura

Lie Algebroid Invariants for Subgeometry
Anthony D. Blaom

$d$-Orthogonal Analogs of Classical Orthogonal Polynomials
Emil Horozov

The Functional Method for the Domain-Wall Partition Function
Jules Lamers

On the Coprimeness Property of Discrete Systems without the Irreducibility Condition
Masataka Kanki ; Takafumi Mase ; Tetsuji Tokihiro

Quantum Klein Space and Superspace
Rita Fioresi ; Emanuele Latini ; Alessio Marrani

Tetrahedron Equation and Quantum $R$ Matrices for $q$-Oscillator Representations Mixing Particles and Holes
Atsuo Kuniba

Numerical Approach to Painlevé Transcendents on Unbounded Domains
Christian Klein ; Nikola Stoilov

Loop Models and $K$-Theory
Paul Zinn-Justin

The Solution of Hilbert's Fifth Problem for Transitive Groupoids
Paweł Raźny

The Chevalley–Weil Formula for Orbifold Curves
Luca Candelori

Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions
Mourad E. H. Ismail ; Erik Koelink ; Pablo Román

Asymptotic Expansions of Jacobi Polynomials for Large Values of $\beta$ and of Their Zeros
Amparo Gil ; Javier Segura ; Nico M. Temme

On Regularization of Second Kind Integrals
Julia Bernatska ; Dmitry Leykin

On Some Applications of Sakai's Geometric Theory of Discrete Painlevé Equations
Anton Dzhamay ; Tomoyuki Takenawa

The Toda and Painlevé Systems Associated with Semiclassical Matrix-Valued Orthogonal Polynomials of Laguerre Type
Mattia Cafasso ; Manuel D. De La Iglesia

Connection Formula for the Jackson Integral of Type $A_n$ and Elliptic Lagrange Interpolation
Masahiko Ito ; Masatoshi Noumi

$t$-Unique Reductions for Mészáros's Subdivision Algebra
Darij Grinberg

Metrized Quantum Vector Bundles over Quantum Tori Built from Riemannian Metrics and Rosenberg's Levi–Civita Connections
Leonard Huang

Differential Geometric Aspects of Causal Structures
Omid Makhmali

Local Type I Metrics with Holonomy in $\mathrm{G}_{2}^*$
Anna Fino ; Ines Kath

A Matrix Baker–Akhiezer Function Associated with the Maxwell–Bloch Equations and their Finite-Gap Solutions
Vladimir P. Kotlyarov

Thinplate Splines on the Sphere
Rick K. Beatson ; Wolfgang zu Castell

Faithful Semitoric Systems
Sonja Hohloch ; Silvia Sabatini ; Daniele Sepe ; Margaret Symington

Renormalization of the Hutchinson Operator
Yann Demichel

A Hypergeometric Versionof the Modularity of Rigid Calabi–Yau Manifolds
Wadim Zudilin

Notes on Non-Generic Isomonodromy Deformations
Davide Guzzetti

Discrete Orthogonal Polynomials with Hypergeometric Weights and Painlevé VI
Galina Filipuk ; Walter Van Assche

On Lagrangians with Reduced-Order Euler–Lagrange Equations
David Saunders

Computing Special $L$-Values of Certain Modular Forms with Complex Multiplication
Wen-Ching Winnie Li ; Ling Long ; Fang-Ting Tu

Painlevé IV Critical Asymptotics for Orthogonal Polynomials in the Complex Plane
Marco Bertola ; José Gustavo Elias Rebelo ; Tamara Grava

An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals
Antonella Marchesiello ; Libor Šnobl

A Riemann–Hilbert Approach to the Heun Equation
Boris Dubrovin ; Andrei Kapaev

Higher Obstructions of Complex Supermanifolds
Kowshik Bettadapura

Tronquée Solutions of the Third and Fourth Painlevé Equations
Xiaoyue Xia

The Variational Bi-Complex for Systems of Semi-Linear Hyperbolic PDEs in Three Variables
Sara Froehlich

A Note on the Formal Groups of Weighted Delsarte Threefolds
Yasuhiro Goto

Anti-Yetter–Drinfeld Modules for Quasi-Hopf Algebras
Ivan Kobyzev ; Ilya Shapiro

Generalized Lennard-Jones Potentials, SUSYQM and Differential Galois Theory
Manuel F. Acosta-Humánez ; Primitivo B. Acosta-Humánez ; Erick Tuirán

Morita Equivalent Blocks of Symmetric Groups
Benjamin Sambale

Macdonald Polynomials of Type $C_n$ with One-Column Diagrams and Deformed Catalan Numbers
Ayumu Hoshino ; Jun'ichi Shiraishi

Hesse Pencils and 3-Torsion Structures
Ane S. I. Anema ; Jaap Top ; Anne Tuijp

Virtual Crystals and Nakajima Monomials
Ben Salisbury ; Travis Scrimshaw

Drinfeld–Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials
Mattia Cafasso ; Ann du Crest de Villeneuve ; Di Yang

Quantum Abelian Yang–Mills Theory on Riemannian Manifolds with Boundary
Homero G. Díaz-Marín ; Robert Oeckl

Generalized Hermite Polynomials and Monodromy-Free Schrödinger Operators
Victor Yu. Novokshenov

Large $z$ Asymptotics for Special Function Solutions of Painlevé II in the Complex Plane
Alfredo Deaño

Hyper-Algebras of Vector-Valued Modular Forms
Martin Raum

Inverse of Infinite Hankel Moment Matrices
Christian Berg ; Ryszard Szwarc

Zhegalkin Zebra Motives Digital Recordings of Mirror Symmetry
Jan Stienstra

The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations
Arata Komyo

Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative
Rafaela N. Bonfim ; Jean C. Guella ; Valdir A. Menegatto

Three-Parameter Solutions of the PV Schlesinger-Type Equation near the Point at Infinity and the Monodromy Data
Shun Shimomura

Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions
Scott Carnahan ; Takahiro Komuro ; Satoru Urano

The Smallest Singular Values and Vector-Valued Jack Polynomials
Charles F. Dunkl

Normal Functions over Locally Symmetric Varieties
Ryan Keast ; Matt Kerr

Truncated Solutions of Painlevé Equation $\mathrm{P_V}$
Rodica D. Costin

Integral Regulators for Higher Chow Complexes
Muxi Li

Initial-Boundary Value Problem for Stimulated Raman Scattering Model: Solvability of Whitham Type System of Equations Arising in Long-Time Asymptotic Analysis
Rustem R. Aydagulov ; Alexander A. Minakov

Simple Lax Description of the ILW Hierarchy
Alexandr Buryak ; Paolo Rossi

Matrix Bailey Lemma and the Star-Triangle Relation
Kamil Yu. Magadov ; Vyacheslav P. Spiridonov

Quadratic Differential Equations in Three Variables without Multivalued Solutions: Part I
Adolfo Guillot

On Solutions of the Fuji–Suzuki–Tsuda System
Pavlo Gavrilenko ; Nikolai Iorgov ; Oleg Lisovyy

Morita Invariance of Intrinsic Characteristic Classes of Lie Algebroids
Pedro Frejlich

On the Increasing Tritronquée Solutions of the Painlevé-II Equation
Peter D. Miller

Structure Relations of Classical Orthogonal Polynomials in the Quadratic and $q$-Quadratic Variable
Maurice Kenfack Nangho ; Kerstin Jordaan

Parallels between Moduli of Quiver Representations and Vector Bundles over Curves
Victoria Hoskins

Deformations of Pre-Symplectic Structures: a Dirac Geometry Approach
Florian Schätz ; Marco Zambon

Aspects of the Topology and Combinatorics of Higgs Bundle Moduli Spaces
Steven Rayan

On Gradings Modulo $2$ of Simple Lie Algebras in Characteristic $2$
Andrey Krutov ; Alexei Lebedev

Eigenvalue Problems for Lamé's Differential Equation
Hans Volkmer

Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology
Giovanni Felder ; Richárd Rimányi ; Alexander Varchenko

Field Theory with Coordinate Dependent Noncommutativity
Daniel N. Blaschke ; François Gieres ; Stefan Hohenegger ; Manfred Schweda ; Michael Wohlgenannt

A Product on Double Cosets of $B_\infty$
Pablo Gonzalez Pagotto

Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms
Michał Jóźwikowski ; Mikołaj Rotkiewicz

Fundamental Solutions and Gegenbauer Expansions of Helmholtz Operators in Riemannian Spaces of Constant Curvature
Howard S. Cohl ; Thinh H. Dang ; T. M. Dunster

Singular Degenerations of Lie Supergroups of Type $D(2,1;a)$
Kenji Iohara ; Fabio Gavarini
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