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2007, Volume 3  


Non-Local Finite-Size Effects in the Dimer Model
Nickolay Sh. Izmailian, Vyatcheslav B. Priezzhev, Philippe Ruelle
001
Raising and Lowering Operators for Askey–Wilson Polynomials
S. Sahi
002
Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
Luc Vinet, Alexei Zhedanov
003
Construction of the Bethe State for the $\mathrm E_{\tau,\eta}(so_3)$ Elliptic Quantum Group
Nenad Manojlović, Zoltán Nagy
004
Symmetry Operators for the Fokker–Plank–Kolmogorov Equation with Nonlocal Quadratic Nonlinearity
Alexander V. Shapovalov, Roman O. Rezaev, Andrey Yu. Trifonov
005
Generalized Potts-Models and their Relevance for Gauge Theories
Andreas Wipf, Thomas Heinzl, Tobias Kaestner, Christian Wozar
006
Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
Rei Inoue, Yukiko Konishi
007
The Virasoro Algebra and Some Exceptional Lie and Finite Groups
Michael P. Tuite
008
Asymmetric Twin Representation: the Transfer Matrix Symmetry
Anastasia Doikou
009
Modular Symmetry and Fractional Charges in $\mathcal N=2$ Supersymmetric Yang–Mills and the Quantum Hall Effect
Brian P. Dolan
010
Finite-Temperature Form Factors: a Review
B. Doyon
011
Boundary Liouville Theory: Hamiltonian Description and Quantization
Harald Dorn, George Jorjadze
012
Relativistic Toda Chain with Boundary Interaction at Root of Unity
Nikolai Iorgov, Vladimir Roubtsov, Vitaly Shadura, Yuri Tykhyy
013
An Analytic Formula for the $\mathrm A_2$ Jack Polynomials
Vladimir V. Mangazeev
014
KP Trigonometric Solitons and an Adelic Flag Manifold
Luc Haine
015
Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics
Christiane Quesne, Volodymyr M. Tkachuk
016
Separation of Variables and the Geometry of Jacobians
Jacques Hurtubise
017
Lattice Field Theory with the Sign Problem and the Maximum Entropy Method
Masahiro Imachi, Yasuhiko Shinno, Hiroshi Yoneyama
018
Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations
Valentyn Tychynin, Olga Petrova, Olesya Tertyshnyk
019
Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows
Henrik Aratyn, Johan van de Leur
020
Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds
Claudia Chanu, Giovanni Rastelli
021
Laurent Polynomials and Superintegrable Maps
Andrew N. W. Hone
022
Antisymmetric Orbit Functions
Anatoliy Klimyk, Jiri Patera
023
A Recursive Scheme of First Integrals of the Geodesic Flow of a Finsler Manifold
Willy Sarlet
024
Quantum Super-Integrable Systems as Exactly Solvable Models
Allan P. Fordy
025
Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature
Orlando Ragnisco, Ángel Ballesteros, Francisco J. Herranz, Fabio Musso
026
Deformation Quantization in White Noise Analysis
Rémi Léandre
027
Bethe Ansatz for the Ruijsenaars Model of $BC_1$-Type
Oleg Chalykh
028
The 6 Vertex Model and Schubert Polynomials
Alain Lascoux
029
A Super-Integrable Two-Dimensional Non-Linear Oscillator with an Exactly Solvable Quantum Analog
José F. Cariñena, Manuel F. Rañada, Mariano Santander
030
Singular Eigenfunctions of Calogero–Sutherland Type Systems and How to Transform Them into Regular Ones
Edwin Langmann
031
A Note on the Rotationally Symmetric $\mathrm{SO}(4)$ Euler Rigid Body
Gregorio Falqui
032
Continuous and Discrete (Classical) Heisenberg Spin Chain Revised
Orlando Ragnisco, Federico Zullo
033
By Magri's Theorem, Self-Dual Gravity is Completely Integrable
Yavuz Nutku
034
Charges in Gauge Theories
D. McMullan
035
A “User-Friendly” Approach to the Dynamical Equations of Non-Holonomic Systems
Sergio Benenti
036
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero–Sutherland Models
Martin Hallnäs
037
Towards Finite-Gap Integration of the Inozemtsev Model
Kouichi Takemura
038
$N$-Wave Equations with Orthogonal Algebras: $\mathbb Z_2$ and $\mathbb Z_2\times\mathbb Z_2$ Reductions and Soliton Solutions
Vladimir S. Gerdjikov, Nikolay A. Kostov, Tihomir I. Valchev
039
$q$-Boson in Quantum Integrable Systems
Anjan Kundu
040
Phase Space of Rolling Solutions of the Tippe Top
S. Torkel Glad, Daniel Petersson, Stefan Rauch-Wojciechowski
041
Hamiltonian Structure of PI Hierarchy
Kanehisa Takasaki
042
A Journey Between Two Curves
Sergey A. Cherkis
043
A Discretization of the Nonholonomic Chaplygin Sphere Problem
Yuri N. Fedorov
044
Spectral Curves of Operators with Elliptic Coefficients
J. Chris Eilbeck, Victor Z. Enolski, Emma Previato
045
Qualitative Analysis of the Classical and Quantum Manakov Top
Evguenii Sinitsyn, Boris Zhilinskii
046
Some Remarks on the KP System of the Camassa–Holm Hierarchy
Giovanni Ortenzi
047
Density of Eigenvalues of Random Normal Matrices with an Arbitrary Potential, and of Generalized Normal Matrices
Pavel Etingof, Xiaoguang Ma
048
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
David Iglesias, Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez, Edith Padrón
049
Lie Algebroids in Classical Mechanics and Optimal Control
Eduardo Martínez
050
Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System
Francesco Fassò, Andrea Giacobbe
051
Polynomials Associated with Dihedral Groups
Charles F. Dunkl
052
Lie Symmetries and Criticality of Semilinear Differential Systems
Yuri Bozhkov, Enzo Mitidieri
053
Bäcklund–Darboux Transformation for Non-Isospectral Canonical System and Riemann–Hilbert Problem
Alexander Sakhnovich
054
Eigenfunction Expansions of Functions Describing Systems with Symmetries
Ivan Kachuryk, Anatoliy Klimyk
055
Macdonald Polynomials and Multivariable Basic Hypergeometric Series
Michael J. Schlosser
056
On the Applications of a New Technique to Solve Linear Differential Equations, with and without Source
N. Gurappa, Pankaj K. Jha, Prasanta K. Panigrahi
057
From $\mathfrak{su}(2)$ Gaudin Models to Integrable Tops
Matteo Petrera, Orlando Ragnisco
058
A Critical Phenomenon in Solitonic Ising Chains
Igor M. Loutsenko, Vyacheslav P. Spiridonov
059
Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel
Evgeny Mukhin, Vitaly Tarasov, Alexander Varchenko
060
Completely Integrable Systems Associated with Classical Root Systems
Toshio Oshima
061
Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility
Artur Sergyeyev
062
The Relationship between Zhedanov's Algebra $AW(3)$ and the Double Affine Hecke Algebra in the Rank One Case
Tom H. Koornwinder
063
Degenerate Series Representations of the $q$-Deformed Algebra $\mathrm{so}'_q(r,s)$
Valentyna A. Groza
064
The Rahman Polynomials Are Bispectral
F. Alberto Grünbaum
065
Teichmüller Theory of Bordered Surfaces
Leonid O. Chekhov
066
Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions
Christiane Quesne
067
Hidden Symmetries of Stochastic Models
Boyka Aneva
068
Yangian of the Strange Lie Superalgebra of $Q_{n-1}$ Type, Drinfel'd Approach
Vladimir Stukopin
069
Hamilton–Jacobi Theory and Moving Frames
Joshua D. MacArthur, Raymond G. McLenaghan, Roman G. Smirnov
070
Exact Solutions for Equations of Bose–Fermi Mixtures in One-Dimensional Optical Lattice
Nikolay A. Kostov, Vladimir S. Gerdjikov, Tihomir I. Valchev
071
Skew Divided Difference Operators and Schubert Polynomials
Anatol N. Kirillov
072
Do All Integrable Evolution Equations Have the Painlevé Property?
K. M. Tamizhmani, Basil Grammaticos, Alfred Ramani
073
Vadim Kuznetsov. Informal Biography by Eyes of His First Adviser
Igor V. Komarov
074
The Veldkamp Space of Two-Qubits
Metod Saniga, Michel Planat, Petr Pracna, Hans Havlicek
075
$\mathrm{SU}_2$ Nonstandard Bases: Case of Mutually Unbiased Bases
Olivier Albouy, Maurice R. Kibler
076
Global Stability of Dynamic Systems of High Order
Mohammed Benalili, Azzedine Lansari
077
Paths and Tableaux Descriptions of Jacobi–Trudi Determinant Associated with Quantum Affine Algebra of Type $C_n$
Wakako Nakai, Tomoki Nakanishi
078
Clifford Algebras and Possible Kinematics
Alan S. McRae
079
Bäcklund Transformation for the BC-Type Toda Lattice
Vadim Kuznetsov, Evgeny Sklyanin
080
Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference
Edited by Lawrence J. Peterson
081
Monodromy of a Class of Logarithmic Connections on an Elliptic Curve
Francois-Xavier Machu
082
Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media
Maxim A. Molchan
083
Monogenic Functions in Conformal Geometry
Michael Eastwood, John Ryan
084
An Additive Basis for the Chow Ring of $\overline{\mathcal M}_{0,2}(\mathbb P^r,2)$
Jonathan A. Cox
085
On Transformations of the Rabelo Equations
Anton Sakovich, Sergei Sakovich
086
Quantum Information from Graviton-Matter Gas
Lukasz-Andrzej Glinka
087
Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics
Giuseppe Scolarici
088
The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier–Jacobi Algebra
Karl Hallowell, Andrew Waldron
089
$Q$-Curvature, Spectral Invariants, and Representation Theory
Thomas P. Branson
090
Dimensional Reduction of Conformal Tensors and Einstein–Weyl Spaces
R. W. Jackiw
091
Miscellaneous Applications of Quons
Maurice R. Kibler
092
Heat Trace Asymptotics on Noncommutative Spaces
Dmitri V. Vassilevich
093
Vacuum Energy as Spectral Geometry
Stephen A. Fulling
094
Stanilov–Tsankov–Videv Theory
Miguel Brozos-Vázquez, Bernd Fiedler, Eduardo García-Río, Peter Gilkey, Stana Nikčević, Grozio Stanilov, Yulian Tsankov, Ramón Vázquez-Lorenzo, Veselin Videv
095
Lagrangian Approach to Dispersionless KdV Hierarchy
Amitava Choudhuri, B. Talukdar, U. Das
096
Differential Invariants of Conformal and Projective Surfaces
Evelyne Hubert, Peter J. Olver
097
Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry
Bernhelm Booß-Bavnbek, Giampiero Esposito, Matthias Lesch
098
From Holonomy of the Ising Model Form Factors to $n$-Fold Integrals and the Theory of Elliptic Curves
Salah Boukraa, Saoud Hassani, Jean-Marie Maillard, Nadjah Zenine
099
Conformal Dirichlet–Neumann Maps and Poincaré–Einstein Manifolds
A. Rod Gover
100
Toeplitz Operators, Kähler Manifolds, and Line Bundles
Tatyana Foth
101
Translation to Bundle Operators
Thomas P. Branson, Doojin Hong
102
Geometric Linearization of Ordinary Differential Equations
Asghar Qadir
103
Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary
William J. Ugalde
104
Wavelet-Based Quantum Field Theory
Mikhail V. Altaisky
105
Biorthogonal Expansion of Non-Symmetric Jack Functions
Siddhartha Sahi, G. Zhang
106
Singular Potentials in Quantum Mechanics and Ambiguity in the Self-Adjoint Hamiltonian
Tamáas Fülöp
107
Straight Quantum Waveguide with Robin Boundary Conditions
Martin Jílek
108
Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions
Mélisande Fortin Boisvert
109
Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem
Marcos Moshinsky, Emerson Sadurní, Adolfo del Campo
110
Curved Casimir Operators and the BGG Machinery
Andreas Čap, Vladimír Soucek
111
Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels
Alexandre M. Gavrilik, Anastasiya P. Rebesh
112
Symmetries and Invariant Differential Pairings
Michael G. Eastwood
113
Some Sharp $L^2$ Inequalities for Dirac Type Operators
Alexander Balinsky, John Ryan
114
Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner–Nordström Metric and Re-Scaling of Energy of a Test Particle
Ibrar Hussain, Fazal M. Mahomed, Asghar Qadir
115
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
Maxim S. Borshch, Valery I. Zhdanov
116
Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation
Ilya D. Feranchuk, Sergey I. Feranchuk
117
On Gauss–Bonnet Curvatures
Mohammed Larbi Labbi
118
Branson's $Q$-curvature in Riemannian and Spin Geometry
Oussama Hijazi, Simon Raulot
119
Conformal Metrics with Constant $Q$-Curvature
Andrea Malchiodi
120
Conformal Powers of the Laplacian via Stereographic Projection
C. Robin Graham
121
Some Progress in Conformal Geometry
Sun-Yung A. Chang, Jie Qing, Paul Yang
122
Integrability and Diffeomorphisms on Target Space
Christoph Adam, Joaquin Sanchez-Guillen, Andrzej Wereszczynski
123
Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers of Force
M. A. González León, J. Mateos Guilarte, M. de la Torre Mayado
124
WKB Approximation in Noncommutative Gravity
Maja Buric, John Madore, George Zoupanos
125
Faster than Hermitian Time Evolution
Carl M. Bender
126
On 1-Harmonic Functions
Shihshu Walter Wei
127
Symmetry, Integrability and Geometry: Methods and Applications
 
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