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Symmetry, integrability and geometry: methods and applications
Tome 13 (2017)
Précédent Suivant


The Moments of the Hydrogen Atom by the Method of Brackets
Ivan Gonzalez ; Karen T. Kohl ; Igor Kondrashuk ; Victor H. Moll ; Daniel Salinas

Symmetries of the Space of Linear Symplectic Connections
Daniel J. F. Fox

The Profinite Dimensional Manifold Structure of Formal Solution Spaces of Formally Integrable PDEs
Batu Güneysu ; Markus J. Pflaum

The Geometry of Almost Einstein $(2, 3, 5)$ Distributions
Katja Sagerschnig ; Travis Willse

Twistor Geometry of Null Foliations in Complex Euclidean Space
Arman Taghavi-Chabert

Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure
Matti Raasakka

Connected Lie Groupoids are Internally Connected and Integral Complete in Synthetic Differential Geometry
Matthew Burke

Classical and Quantum Superintegrability of Stäckel Systems
Maciej Błaszak ; Krzysztof Marciniak

$q$-Difference Kac–Schwarz Operators in Topological String Theory
Kanehisa Takasaki ; Toshio Nakatsu

Classification of Multidimensional Darboux Transformations: First Order and Continued Type
David Hobby ; Ekaterina Shemyakova

Drinfeld J Presentation of Twisted Yangians
Samuel Belliard ; Vidas Regelskis

Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach
Chaiho Rim

Bôcher and Abstract Contractions of $2$nd Order Quadratic Algebras
Mauricio A. Escobar Ruiz ; Ernest G. Kalnins ; Willard Miller Jr. ; Eyal Subag

Twists on the Torus Equivariant under the $2$-Dimensional Crystallographic Point Groups
Kiyonori Gomi

Bethe Vectors for Composite Models with $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(1|2)$ Supersymmetry
Jan Fuksa

Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II
Percy Deift

Klein's Fundamental $2$-Form of Second Kind for the $C_{ab}$ Curves
Joe Suzuki

Ermakov–Painlevé II Symmetry Reduction of a Korteweg Capillarity System
Colin Rogers ; Peter A. Clarkson

Lagrangian Mechanics and Reductionon Fibered Manifolds
Songhao Li ; Ari Stern ; Xiang Tang

Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials
Satoru Odake ; Ryu Sasaki

Central Configurations and Mutual Differences
D. L. Ferrario

$G$-Invariant Deformations of Almost-Coupling Poisson Structures
José Antonio Vallejo ; Yury Vorobiev

On Toric Poisson Structures of Type $(1,1)$ and their Cohomology
Arlo Caine ; Berit Nilsen Givens

Doran–Harder–Thompson Conjecture via SYZ Mirror Symmetry: Elliptic Curves
Atsushi Kanazawa

Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation
Hayato Chiba

Another Approach to Juhl's Conformally Covariant Differential Operators from $S^n$ to $S^{n-1}$
Jean-Louis Clerc

Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds
Ana Lucia Garcia-Pulido ; Rafael Herrera

A Complete Set of Invariants for LU-Equivalence of Density Operators
Jacob Turner ; Jason Morton

Isomonodromy for the Degenerate Fifth Painlevé Equation
Primitivo B. Acosta-Humánez ; Marius van der Put ; Jaap Top

GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities
Jie Zhou

Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of $2d$ Quantum Integrable Systems
Dmitry V. Talalaev

Local Generalized Symmetries and Locally Symmetric Parabolic Geometries
Jan Gregorovič ; Lenka Zalabová

Contact Isotropic Realisations of Jacobi Manifolds via Spencer Operators
María Amelia Salazar ; Daniele Sepe

Formal Integrals and Noether Operators of Nonlinear Hyperbolic Partial Differential Systems Admitting a Rich Set of Symmetries
Sergey Ya. Startsev

Liouville Correspondences between Integrable Hierarchies
Jing Kang ; Xiaochuan Liu ; Peter J. Olver ; Changzheng Qu

Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation
Ying Shi ; Jonathan Nimmo ; Junxiao Zhao

Gustafson–Rakha-Type Elliptic Hypergeometric Series
Hjalmar Rosengren

Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential
Eugene D. Belokolos

Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions
John Haga ; Rachel Lash Maitra

A Linear System of Differential Equations Related to Vector-Valued Jack Polynomials on the Torus
Charles F. Dunkl

Non-Commutative Vector Bundles for Non-Unital Algebras
Adam Rennie ; Aidan Sims

On the Equivalence of Module Categories over a Group-Theoretical Fusion Category
Sonia Natale

Highest $\ell$-Weight Representations and Functional Relations
Khazret S. Nirov ; Alexander V. Razumov

Integrable Structure of Multispecies Zero Range Process
Atsuo Kuniba ; Masato Okado ; Satoshi Watanabe

Hodge Numbers from Picard–Fuchs Equations
Charles F. Doran ; Andrew Harder ; Alan Thompson

The Malgrange Form and Fredholm Determinants
Marco Bertola

Check-Operators and Quantum Spectral Curves
Andrei Mironov ; Alexei Morozov

Equivariant Gromov–Witten Invariants of Algebraic GKM Manifolds
Chiu-Chu Melissa Liu ; Artan Sheshmani

On the Spectra of Real and Complex Lamé Operators
William A. Haese-Hill ; Martin A. Hallnäs ; Alexander P. Veselov

Topology of Functions with Isolated Critical Points on the Boundary of a 2-Dimensional Manifold
Bohdana I. Hladysh ; Aleksandr O. Prishlyak

Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice
Allan P. Fordy ; Pavlos Xenitidis

A Combinatorial Study on Quiver Varieties
Shigeyuki Fujii ; Satoshi Minabe

Symmetries of the Hirota Difference Equation
Andrei K. Pogrebkov

Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models
Guillaume Dhont ; Toshihiro Iwai ; Boris Zhilinskii

Global Existence of Bi-Hamiltonian Structures on Orientable Three-Dimensional Manifolds
Melike Išim Efe ; Ender Abadoğlu

Zero Range Process and Multi-Dimensional Random Walks
Nicolay M. Bogoliubov ; Cyril Malyshev

On Reductions of the Hirota–Miwa Equation
Andrew N. W. Hone ; Theodoros E. Kouloukas ; Chloe Ward

Relativistic DNLS and Kaup–Newell Hierarchy
Oktay K. Pashaev ; Jyh-Hao Lee

Remarks on Contact and Jacobi Geometry
Andrew James Bruce ; Katarzyna Grabowska ; Janusz Grabowski

Integrability, Quantization and Moduli Spaces of Curves
Paolo Rossi

An Energy Gap for Complex Yang–Mills Equations
Teng Huang

Part III, Free Actions of Compact Quantum Groups on $\mathrm{C}^*$-Algebras
Kay Schwieger ; Stefan Wagner

The Fock–Rosly Poisson Structure as Defined by a Quasi-Triangular $r$-Matrix
Victor Mouquin

A Generalization of the Doubling Construction for Sums of Squares Identities
Chi Zhang ; Hua-Lin Huang

Rational Solutions of the Painlevé-II Equation Revisited
Peter D. Miller ; Yue Sheng

Asymptotic Representations of Quantum Affine Superalgebras
Huafeng Zhang

Minuscule Schubert Varieties and Mirror Symmetry
Makoto Miura

Null Angular Momentum and Weak KAM Solutions of the Newtonian $N$-Body Problem
Boris A. Percino-Figueroa

An Elliptic Garnier System from Interpolation
Yasuhiko Yamada

Restriction of Odd Degree Characters of $\mathfrak{S}_n$
Christine Bessenrodt ; Eugenio Giannelli ; Jørn B. Olsson

$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation
Bao-Feng Feng ; Yasuhiro Ohta

On the Automorphisms of a Rank One Deligne–Hitchin Moduli Space
Indranil Biswas ; Sebastian Heller

Classification of a Subclass of Two-Dimensional Lattices via Characteristic Lie Rings
Ismagil Habibullin ; Mariya Poptsova

Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
Éric-Olivier Bossé ; Luc Vinet

Derivations and Spectral Triples on Quantum Domains I: Quantum Disk
Slawomir Klimek ; Matt McBride ; Sumedha Rathnayake ; Kaoru Sakai ; Honglin Wang

Factorizable $R$-Matrices for Small Quantum Groups
Simon Lentner ; Tobias Ohrmann

Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians
Krzysztof Marciniak ; Maciej Błaszak

Rational Solutions to the ABS List: Transformation Approach
Danda Zhang ; Zhang Da-Jun

Elliptic Determinantal Processes and Elliptic Dyson Models
Makoto Katori

Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality
Vladimir A. Fateev

A Projective-to-Conformal Fefferman-Type Construction
Matthias Hammerl ; Katja Sagerschnig ; Josef Šilhan ; Arman Taghavi-Chabert ; Vojtěch Žádník

Differential Calculus on $\mathbf{h}$-Deformed Spaces
Basile Herlemont ; Oleg Ogievetsky

Twists of Elliptic Curves
Max Kronberg ; Muhammad Afzal Soomro ; Jaap Top

Realization of $U_q({\mathfrak{sp}}_{2n})$ within the Differential Algebra on Quantum Symplectic Space
Jiao Zhang ; Naihong Hu

The Inverse Spectral Problem for Jacobi-Type Pencils
Sergey M. Zagorodnyuk

Parallelisms Lie Connections
David Blázquez-Sanz ; Guy Casale

Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces
Remke Kloosterman

Positive Definite Functions on Complex Spheres and their Walks through Dimensions
Eugenio Massa ; Ana Paula Peron ; Emilio Porcu

A Universal Genus-Two Curve from Siegel Modular Forms
Andreas Malmendier ; Tony Shaska

Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle
Adhemar Bultheel ; Ruyman Cruz-Barroso ; Andreas Lasarow

James' Submodule Theorem and the Steinberg Module
Meinolf Geck

A Variation of the $q$-Painlevé System with Affine Weyl Group Symmetry of Type $E_7^{(1)}$
Hidehito Nagao

Orbital Linearization of Smooth Completely Integrable Vector Fields
Nguyen Tien Zung

Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
Nicolas Crampe

The Chazy XII Equation and Schwarz Triangle Functions
Oksana Bihun ; Sarbarish Chakravarty

Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji–Suzuki Systems
Hiroshi Kawakami

An Application of the Moving Frame Method to Integral Geometry in the Heisenberg Group
Hung-Lin Chiu ; Yen-Chang Huang ; Sin-Hua Lai

On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids
Paweł Raźny

Contractions of Degenerate Quadratic Algebras, Abstract and Geometric
Mauricio A. Escobar Ruiz ; Willard Miller Jr. ; Eyal Subag
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