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2011, том 7  


Bäcklund Transformations for the Kirchhoff Top
Orlando Ragnisco, Federico Zullo
001
Singularity Analysis and Integrability of a Burgers-Type System of Foursov
Sergei Sakovich
002
Intertwinors on Functions over the Product of Spheres
Doojin Hong
003
Correlation Function and Simplified TBA Equations for XXZ Chain
Minoru Takahashi
004
The Quantum 3D Superparticle
Luca Mezincescu, Paul K. Townsend
005
Coordinate Bethe Ansatz for Spin $s$ XXX Model
Nicolas Crampé, Eric Ragoucy, Ludovic Alonzi
006
Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States
Hermann Boos
007
A Vertex Operator Approach for Form Factors of Belavin's $(\mathbb{Z}/n\mathbb{Z})$-Symmetric Model and Its Application
Yas-Hiro Quano
008
Introduction to Sporadic Groups
Luis J. Boya
009
Integration of Cocycles and Lefschetz Number Formulae for Differential Operators
Ajay C. Ramadoss
010
Entanglement of Grassmannian Coherent States for Multi-Partite $n$-Level Systems
Ghader Najarbashi, Yusef Maleki
011
Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
Ghali Filali, Nikolai Kitanine
012
Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies
Haret C. Rosu, Kira V. Khmelnytskaya
013
Schrödinger-like Dilaton Gravity
Yu Nakayama
014
Harmonic Superfields in $\mathcal N=4$ Supersymmetric Quantum Mechanics
Evgeny A. Ivanov
015
On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum
Sergey M. Zagorodnyuk
016
Orthogonality Relations for Multivariate Krawtchouk Polynomials
Hiroshi Mizukawa
017
Planarizable Supersymmetric Quantum Toboggans
Miloslav Znojil
018
The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
Spyros Alexakis
019
A Bochner Theorem for Dunkl Polynomials
Luc Vinet, Alexei Zhedanov
020
Harmonic Analysis in One-Parameter Metabelian Nilmanifolds
Amira Ghorbel
021
Beyond the Gaussian
Kazuyuki Fujii
022
$\mathcal N=4$ Multi-Particle Mechanics, WDVV Equation and Roots
Olaf Lechtenfeld, Konrad Schwerdtfeger, Johannes Thürigen
023
Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential
Véronique Hussin, Ian Marquette
024
Supersymmetric Quantum Mechanics and Painlevé IV Equation
David Bermúdez, David J. Fernández C.
025
Vector-Valued Jack Polynomials from Scratch
Charles F. Dunkl, Jean-Gabriel Luque
026
Two Point Correlation Functions for a Periodic Box-Ball System
Jun Mada, Tetsuji Tokihiro
027
Dynamical Studies of Equations from the Gambier Family
Partha Guha, Anindya Ghose Choudhury, Basil Grammaticos
028
Supersymmetry Transformations for Delta Potentials
David J. Fernández C., Manuel Gadella, Luis Miguel Nieto
029
Rational Solutions of the Sasano System of Type $A_5^{(2)}$
Kazuhide Matsuda
030
A Recurrence Relation Approach to Higher Order Quantum Superintegrability
Ernie G. Kalnins, Jonathan M. Kress, Willard Miller Jr.
031
Quantum Integrable Model of an Arrangement of Hyperplanes
Alexander Varchenko
032
An Exactly Solvable Spin Chain Related to Hahn Polynomials
Neli I. Stoilova, Joris Van der Jeugt
033
Natural and Projectively Invariant Quantizations on Supermanifolds
Thomas Leuther, Fabian Radoux
034
Revisiting the Symmetries of the Quantum Smorodinsky–Winternitz System in $D$ Dimensions
Christiane Quesne
035
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
Sarah Post
036
Covariant Approach of the Dynamics of Particles in External Gauge Fields, Killing Tensors and Quantum Gravitational Anomalies
Mihai Visinescu
037
First Integrals of Extended Hamiltonians in $n+1$ Dimensions Generated by Powers of an Operator
Claudia Chanu, Luca Degiovanni, Giovanni Rastelli
038
Essential Parabolic Structures and Their Infinitesimal Automorphisms
Jesse Alt
039
On the Limit from $q$-Racah Polynomials to Big $q$-Jacobi Polynomials
Tom H. Koornwinder
040
Periodic and Solitary Wave Solutions of Two Component Zakharov–Yajima–Oikawa System, Using Madelung's Approach
Anca Visinescu, Dan Grecu, Renato Fedele, Sergio De Nicola
041
Potentials Unbounded Below
Thomas Curtright
042
Recursions of Symmetry Orbits and Reduction without Reduction
Andrei A. Malykh, Mikhail B. Sheftel
043
Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time
Nicolás Fernández-García, Oscar Rosas-Ortiz
044
The Lattice Structure of Connection Preserving Deformations for $q$-Painlevé Equations I
Christopher M. Ormerod
045
Rational Solutions of the H3 and Q1 Models in the ABS Lattice List
Ying Shi, Da-jun Zhang
046
The Fourier Transform on Quantum Euclidean Space
Kevin Coulembier
047
Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stäckel Transform
Ángel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni
048
Symmetries in Connection Preserving Deformations
Christopher M. Ormerod
049
On Parameter Differentiation for Integral Representations of Associated Legendre Functions
Howard S. Cohl
050
Two-Variable Wilson Polynomials and the Generic Superintegrable System on the $3$-Sphere
Ernie G. Kalnins, Willard Miller Jr., Sarah Post
051
The Role of Symmetry and Separation in Surface Evolution and Curve Shortening
Philip Broadbridge, Peter Vassiliou
052
The Fourier $\mathsf U(2)$ Group and Separation of Discrete Variables
Kurt Bernardo Wolf, Luis Edgar Vicent
053
Algebraic Calculation of the Energy Eigenvalues for the Nondegenerate Three-Dimensional Kepler–Coulomb Potential
Yannis Tanoudis, Costas Daskaloyannis
054
Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
Yuri Bozhkov, Peter J. Olver
055
Quantum Group $U_q(sl(2))$ Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain
Tetsuo Deguchi, Jun Sato
056
Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
Alberto Carignano, Lorenzo Fatibene, Raymond G. McLenaghan, Giovanni Rastelli
057
Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on $S^2\times S^3$
Charles P. Boyer
058
Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type $A_6^{(1)}$
Mikio Murata
059
The BGG Complex on Projective Space
Michael G. Eastwood, A. Rod Gover
060
Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation
Jarmo Hietarinta, Da-jun Zhang
061
On Algebraically Integrable Differential Operators on an Elliptic Curve
Pavel Etingof, Eric Rains
062
Balance Systems and the Variational Bicomplex
Serge Preston
063
Structure Constants of Diagonal Reduction Algebras of $\mathfrak{gl}$ Type
Sergei Khoroshkin, Oleg Ogievetsky
064
Emergent Supersymmetry in Warped Backgrounds
Tomoaki Nagasawa, Satoshi Ohya, Kazuki Sakamoto, Makoto Sakamoto
065
Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
Stephen C. Anco, Sajid Ali, Thomas Wolf
066
$1+1$ Gaudin Model
Andrei V. Zotov
067
Recurrence Coefficients of a New Generalization of the Meixner Polynomials
Galina Filipuk, Walter Van Assche
068
The Universal Askey–Wilson Algebra
Paul Terwilliger
069
Klein Topological Field Theories from Group Representations
Sergey A. Loktev, Sergey M. Natanzon
070
From Quantum $A_N$ (Calogero) to $H_4$ (Rational) Model
Alexander V. Turbiner
071
Appell Transformation and Canonical Transforms
Amalia Torre
072
Singularities of Type-Q ABS Equations
James Atkinson
073
A Class of Special Solutions for the Ultradiscrete Painlevé II Equation
Shin Isojima, Junkichi Satsuma
074
On Initial Data in the Problem of Consistency on Cubic Lattices for $3\times3$ Determinants
Oleg I. Mokhov
075
Third Order ODEs Systems and Its Characteristic Connections
Alexandr Medvedev
076
Quantum Analogs of Tensor Product Representations of $\mathfrak{su}(1,1)$
Wolter Groenevelt
077
Harmonic Analysis on Quantum Complex Hyperbolic Spaces
Olga Bershtein, Yevgen Kolisnyk
078
Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf–Cole Transformations
Decio Levi, Christian Scimiterna
079
The 2-Transitive Transplantable Isospectral Drums
Jeroen Schillewaert, Koen Thas
080
On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Operators
Daryoush Talati, Refik Turhan
081
Discrete-Time Goldfishing
Francesco Calogero
082
A Lorentz-Covariant Connection for Canonical Gravity
Marc Geiller, Marc Lachièze-Rey, Karim Noui, Francesco Sardelli
083
Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian $q$-Oscillator and their Entanglement
Yusef Maleki
084
On the Projective Algebra of Randers Metrics of Constant Flag Curvature
Mehdi Rafie-Rad, Bahman Rezaei
085
Time Asymmetric Quantum Mechanics
Arno R. Bohm, Manuel Gadella, Piotr Kielanowski
086
Spherical Fourier Transforms on Locally Compact Quantum Gelfand Pairs
Martijn Caspers
087
An Isomonodromy Interpretation of the Hypergeometric Solution of the Elliptic Painlevé Equation (and Generalizations)
Eric M. Rains
088
A Completeness Study on Certain $2\times2$ Lax Pairs Including Zero Terms
Mike C. Hay
089
Holomorphic Parabolic Geometries and Calabi–Yau Manifolds
Benjamin McKay
090
Symplectic Maps from Cluster Algebras
Allan P. Fordy, Andrew Hone
091
An Introduction to the $q$-Laguerre–Hahn Orthogonal $q$-Polynomials
Abdallah Ghressi, Lotfi Khériji, Mohamed Ihsen Tounsi
092
From $sl_q(2)$ to a Parabosonic Hopf Algebra
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
093
Four-Dimensional Spin Foam Perturbation Theory
João Faria Martins, Aleksandar Miković
094
On Darboux's Approach to $R$-Separability of Variables
Antoni Sym, Adam Szereszewski
095
Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces
Vladimir S. Gerdjikov, Georgi G. Grahovski, Alexander V. Mikhailov, Tihomir I. Valchev
096
Symmetries of the Continuous and Discrete Krichever–Novikov Equation
Decio Levi, Pavel Winternitz, Ravil I. Yamilov
097
Properties of Matrix Orthogonal Polynomials via their Riemann–Hilbert Characterization
F. Alberto Grünbaum, Manuel D. de la Iglesia, Andrei Martínez-Finkelshtein
098
The Universal Askey–Wilson Algebra and the Equitable Presentation of $U_q(\mathfrak{sl}_2)$
Paul Terwilliger
099
Families of Integrable Equations
Pavlos Kassotakis, Maciej Nieszporski
100
A Relativistic Conical Function and its Whittaker Limits
Simon Ruijsenaars
101
Classical and Quantum Dilogarithm Identities
Rinat M. Kashaev, Tomoki Nakanishi
102
Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter
Merced Montesinos, Mercedes Velázquez
103
The Space of Connections as the Arena for (Quantum) Gravity
Steffen Gielen
104
Dolbeault Complex on $S^4\setminus \{ \cdot \}$ and $S^6\setminus\{ \cdot \}$ through Supersymmetric Glasses
Andrei V. Smilga
105
Classical and Quantum Dynamics on Orbifolds
Yuri A. Kordyukov
106
Properties of the Exceptional ($X_{\ell}$) Laguerre and Jacobi Polynomials
Choon-Lin Ho, Satoru Odake, Ryu Sasaki
107
Fundamental Solution of Laplace's Equation in Hyperspherical Geometry
Howard S. Cohl
108
Routh Reduction by Stages
Bavo Langerock, Tom Mestdag, Joris Vankerschaver
109
Statistical Thermodynamics of Polymer Quantum Systems
Guillermo Chacón-Acosta, Elisa Manrique, Leonardo Dagdug, Hugo A. Morales-Técotl
110
Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum
Alexander A. Andrianov, Andrey V. Sokolov
111
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs
Andrey V. Sokolov
112
Breaking pseudo-rotational symmetry through $\mathbf H^2_+$ metric deformation in the Eckart potential problem
Nehemias Leija-Martinez, David Edwin Alvarez-Castillo, Mariana Kirchbach
113
Projective Metrizability and Formal Integrability
Ioan Bucataru, Zoltán Muzsnay
114
A Connection Formula of the Hahn–Exton $q$-Bessel Function
Takeshi Morita
115
Noncommutative Phase Spaces by Coadjoint Orbits Method
Ancille Ngendakumana, Joachim Nzotungicimpaye, Leonard Todjihounde
116
Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves
Igor G. Korepanov
117
The Non-Autonomous Chiral Model and the Ernst Equation of General Relativity in the Bidifferential Calculus Framework
Aristophanes Dimakis, Nils Kanning, Folkert Müller-Hoissen
118
A system of multivariable Krawtchouk polynomials and a probabilistic application
F. Alberto Grünbaum, Mizan Rahman
119
Symmetry, Integrability and Geometry: Methods and Applications
 
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