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2013, Volume 9  


Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries
Changzheng Qu, Junfeng Song, Ruoxia Yao
001
Invertible Darboux Transformations
Ekaterina Shemyakova
002
From Quantum $A_N$ (Sutherland) to $E_8$ Trigonometric Model: Space-of-Orbits View
Alexander V. Turbiner
003
Dynamical Equations, Invariants and Spectrum Generating Algebras of Mechanical Systems with Position-Dependent Mass
Sara Cruz y Cruz, Oscar Rosas-Ortiz
004
Upper Bounds for Mutations of Potentials
John Alexander Cruz Morales, Sergey Galkin
005
On the $N$-Solitons Solutions in the Novikov–Veselov Equation
Jen-Hsu Chang
006
Vector-Valued Polynomials and a Matrix Weight Function with $B_2$-Action
Charles F. Dunkl
007
The Construction of Spin Foam Vertex Amplitudes
Eugenio Bianchi, Frank Hellmann
008
Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
Aristophanes Dimakis, Folkert Müller-Hoissen
009
The Clifford Deformation of the Hermite Semigroup
Henrik De Bie, Ben Ørsted, Petr Somberg, Vladimir Souček
010
On the $n$-Dimensional Porous Medium Diffusion Equation and Global Actions of the Symmetry Group
Jose A. Franco
011
Specialized Orthonormal Frames and Embedding
Frank B. Estabrook
012
Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics
Arundhati Dasgupta
013
Courant Algebroids. A Short History
Yvette Kosmann-Schwarzbach
014
On a Trivial Family of Noncommutative Integrable Systems
Andrey V. Tsiganov
015
A Generalization of the Hopf–Cole Transformation
Paulius Miškinis
016
The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas
Ian. M. Anderson, Mark E. Fels
017
Bispectrality of the Complementary Bannai–Ito Polynomials
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
018
The Unruh Effect in General Boundary Quantum Field Theory
Daniele Colosi, Dennis Rätzel
019
On a Seminal Paper by Karlin and McGregor
Mirta M. Castro, F. Alberto Grünbaum
020
Ammann Tilings in Symplectic Geometry
Fiammetta Battaglia, Elisa Prato
021
Integrable Flows for Starlike Curves in Centroaffine Space
Annalisa Calini, Thomas Ivey, Gloria Marí-Beffa
022
Object-Image Correspondence for Algebraic Curves under Projections
Joseph M. Burdis, Irina A. Kogan, Hoon Hong
023
Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type
Peter J. Vassiliou
024
A Projection Argument for Differential Inclusions, with Applications to Persistence of Mass-Action Kinetics
Manoj Gopalkrishnan, Ezra Miller, Anne Shiu
025
A Quasi-Lie Schemes Approach to Second-Order Gambier Equations
José F. Cariñena, Partha Guha, Javier de Lucas
026
$G$-Strands and Peakon Collisions on $Diff (\mathbb{R})$
Darryl D. Holm, Rossen I. Ivanov
027
Free Fermi and Bose Fields in TQFT and GBF
Robert Oeckl
028
Solving Local Equivalence Problems with the Equivariant Moving Frame Method
Francis Valiquette
029
Pentagon Relations in Direct Sums and Grassmann Algebras
Igor G. Korepanov, Nurlan M. Sadykov
030
The Pascal Triangle of a Discrete Image: Definition, Properties and Application to Shape Analysis
M. Boutin, Sh. Huang
031
On Orbifold Criteria for Symplectic Toric Quotients
Carla Farsi, Hans-Christian Herbig, Christopher Seaton
032
The Symmetry Group of Lamé's System and the Associated Guichard Nets for Conformally Flat Hypersurfaces
João Paulo dos Santos, Keti Tenenblat
033
Geometry of Optimal Control for Control-Affine Systems
Jeanne N. Clelland, Christopher G. Moseley, George R. Wilkens
034
On Addition Formulae of KP, mKP and BKP Hierarchies
Yoko Shigyo
035
On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces
Jeongoo Cheh
036
A Note on the Automorphism Group of the Bielawski–Pidstrygach Quiver
Igor Mencattini, Alberto Tacchella
037
Relative Critical Points
Debra Lewis
038
Drinfeld Doubles for Finite Subgroups of $\mathrm{SU}(2)$ and $\mathrm{SU}(3)$ Lie Groups
Robert Coquereaux, Jean-Bernard Zuber
039
Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle
Micho Ðurđevich, Stephen Bruce Sontz
040
On the Linearization of Second-Order Ordinary Differential Equations to the Laguerre Form via Generalized Sundman Transformations
M. Tahir Mustafa, Ahmad Y. Al-Dweik, Raed A. Mara'beh
041
Fourier, Gegenbauer and Jacobi Expansions for a Power-Law Fundamental Solution of the Polyharmonic Equation and Polyspherical Addition Theorems
Howard S. Cohl
042
Vector-Valued Polynomials and a Matrix Weight Function with $B_{2}$-Action. II
Charles F. Dunkl
043
Two-Dimensional Toda–Heisenberg Lattice
Vadim E. Vekslerchik
044
Euler Equations Related to the Generalized Neveu–Schwarz Algebra
Dafeng Zuo
045
On Addition Formulae for Sigma Functions of Telescopic Curves
Takanori Ayano, Atsushi Nakayashiki
046
The Universal Askey–Wilson Algebra and DAHA of Type $(C_1^{\vee},C_1)$
Paul Terwilliger
047
Combinatorial Formulae for Nested Bethe Vectors
Vitaly Tarasov, Alexander Varchenko
048
A Common Structure in PBW Bases of the Nilpotent Subalgebra of $U_q(\mathfrak{g})$ and Quantized Algebra of Functions
Atsuo Kuniba, Masato Okado, Yasuhiko Yamada
049
A Connection Formula for the $q$-Confluent Hypergeometric Function
Takeshi Morita
050
Twisted Cyclic Cohomology and Modular Fredholm Modules
Adam Rennie, Andrzej Sitarz, Makoto Yamashita
051
Invariant Discretization Schemes Using Evolution–Projection Techniques
Alexander Bihlo, Jean-Christophe Nave
052
Parameterizing the Simplest Grassmann–Gaussian Relations for Pachner Move 3–3
Igor G. Korepanov, Nurlan M. Sadykov
053
Extended $T$-System of Type $G_2$
Jian-Rong Li, Evgeny Mukhin
054
$\mathfrak{spo}(2|2)$-Equivariant Quantizations on the Supercircle $S^{1|2}$
Najla Mellouli, Aboubacar Nibirantiza, Fabian Radoux
055
Integrability of Discrete Equations Modulo a Prime
Masataka Kanki
056
Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials
Ernest G. Kalnins, Willard Miller Jr., Sarah Post
057
Bethe Vectors of Quantum Integrable Models with $\mathrm{GL}(3)$ Trigonometric $R$-Matrix
Samuel Belliard, Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov
058
Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces
Oksana Bihun, Francesco Calogero
059
Generalized Fuzzy Torus and its Modular Properties
Paul Schreivogl, Harold Steinacker
060
The Algebra of a $q$-Analogue of Multiple Harmonic Series
Yoshihiro Takeyama
061
Period Matrices of Real Riemann Surfaces and Fundamental Domains
Pietro Giavedoni
062
Leibniz Algebras and Lie Algebras
Geoffrey Mason, Gaywalee Yamskulna
063
Dunkl-Type Operators with Projections Terms Associated to Orthogonal Subsystems in Roots System
Fethi Bouzeffour
064
Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1)
Nelson Faustino
065
Symmetry and Intertwining Operators for the Nonlocal Gross–Pitaevskii Equation
Aleksandr L. Lisok, Aleksandr V. Shapovalov, Andrey Yu. Trifonov
066
An Index for Intersecting Branes in Matrix Models
Harold Steinacker, Jochen Zahn
067
Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations
Kenichi Kondo
068
Quasicomplex $\mathcal{N}=2$, $d=1$ Supersymmetric Sigma Models
Evgeny A. Ivanov, Andrei V. Smilga
069
Ultradiscrete Painlevé VI with Parity Variables
Kouichi Takemura, Terumitsu Tsutsui
070
Levi-Civita's Theorem for Noncommutative Tori
Jonathan Rosenberg
071
Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
Samuel Belliard, Nicolas Crampé
072
Direct Connection between the $R_{II}$ Chain and the Nonautonomous Discrete Modified KdV Lattice
Kazuki Maeda, Satoshi Tsujimoto
073
The Infinitesimalization and Reconstruction of Locally Homogeneous Manifolds
Anthony D. Blaom
074
Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors
Mikhail B. Sheftel, Andrei A. Malykh
075
Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian
Eduardo Mattei, Jon Links
076
Boundary Interactions for the Semi-Infinite $q$-Boson System and Hyperoctahedral Hall–Littlewood Polynomials
Jan Felipe Van Diejen, Erdal Emsiz
077
Integrable Hierarchy of the Quantum Benjamin–Ono Equation
Maxim Nazarov, Evgeny Sklyanin
078
A Centerless Virasoro Algebra of Master Symmetries for the Ablowitz–Ladik Hierarchy
Luc Haine, Didier Vanderstichelen
079
Dirac Operators on Noncommutative Curved Spacetimes
Alexander Schenkel, Christoph F. Uhlemann
080
Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure
Kenny De Commer
081
Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models
Martin Bojowald
082
Symmetry, Integrability and Geometry: Methods and Applications
 
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