ЗМІСТ

Izmailian N.Sh., Priezzhev V.B., Ruelle P.
Non-Local Finite-Size Effects in the Dimer Model

Sahi S.
Raising and Lowering Operators for Askey-Wilson Polynomials

Vinet L., Zhedanov A.
Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction

Manojlović N., Nagy Z.
Construction of the Bethe State for the E_τ,η(so₃) Elliptic Quantum Group

Shapovalov A.V., Rezaev R.O., Trifonov A.Yu.
Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity

Wipf A., Heinzl T., Kaestner T., Wozar C.
Generalized Potts-Models and their Relevance for Gauge Theories

Inoue R., Konishi Y.
Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant

Tuite M.P.
The Virasoro Algebra and Some Exceptional Lie and Finite Groups

Doikou A.
Asymmetric Twin Representation: the Transfer Matrix Symmetry

Dolan B.P.
Modular Symmetry and Fractional Charges in N = 2 Supersymmetric Yang-Mills and the Quantum Hall Effect

Doyon B.
Finite-Temperature Form Factors: a Review

Dorn H., Jorjadze G.
Boundary Liouville Theory: Hamiltonian Description and Quantization

Iorgov N., Roubtsov V., Shadura V., Tykhyy Y.
Relativistic Toda Chain with Boundary Interaction at Root of Unity

Mangazeev V.V.
An Analytic Formula for the A₂ Jack Polynomials

Haine L.
KP Trigonometric Solitons and an Adelic Flag Manifold

Quesne C., Tkachuk V.M.
Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics

Hurtubise J.
Separation of Variables and the Geometry of Jacobians

Imachi M., Shinno Y., Yoneyama H.
Lattice Field Theory with the Sign Problem and the Maximum Entropy Method

Tychynin V., Petrova O., Tertyshnyk O.
Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations

Aratyn H., van de Leur J.
Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows

Chanu C., Rastelli G.
Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds

Hone A.N.W.
Laurent Polynomials and Superintegrable Maps

Klimyk A., Patera J.
Antisymmetric Orbit Functions

Sarlet W.
A Recursive Scheme of First Integrals of the Geodesic Flow of a Finsler Manifold

Fordy A.P.
Quantum Super-Integrable Systems as Exactly Solvable Models

Ragnisco O., Ballesteros A., Herranz F.J., Musso F.
Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature

Léandre R.
Deformation Quantization in White Noise Analysis

Chalykh O.
Bethe Ansatz for the Ruijsenaars Model of BC₁-Type

Lascoux A.
The 6 Vertex Model and Schubert Polynomials

Cariñena J.F., Rañada M.F., Santander M.
A Super-Integrable Two-Dimensional Non-Linear Oscillator with an Exactly Solvable Quantum Analog

Langmann E.
Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones

Falqui G.
A Note on the Rotationally Symmetric SO(4) Euler Rigid Body

Ragnisco O., Zullo F.
Continuous and Discrete (Classical) Heisenberg Spin Chain Revised

Nutku Y.
By Magri's Theorem, Self-Dual Gravity is Completely Integrable

McMullan D.
Charges in Gauge Theories

Benenti S.
A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems

Hallnäs M.
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models

Takemura K.
Towards Finite-Gap Integration of the Inozemtsev Model

Gerdjikov V.S., Kostov N.A., Valchev T.I.
N-Wave Equations with Orthogonal Algebras: Z₂ and Z₂ × Z₂ Reductions and Soliton Solutions

Kundu A.
q-Boson in Quantum Integrable Systems

Glad S.T., Petersson D., Rauch-Wojciechowski S.
Phase Space of Rolling Solutions of the Tippe Top

Takasaki K.
Hamiltonian Structure of PI Hierarchy

Cherkis S.A.
A Journey Between Two Curves

Fedorov Y.N.
A Discretization of the Nonholonomic Chaplygin Sphere Problem

Eilbeck J.C., Enolski V.Z., Previato E.
Spectral Curves of Operators with Elliptic Coefficients

Sinitsyn E., Zhilinskii B.
Qualitative Analysis of the Classical and Quantum Manakov Top

Ortenzi G.
Some Remarks on the KP System of the Camassa-Holm Hierarchy

Etingof P., Ma X.
Density of Eigenvalues of Random Normal Matrices with an Arbitrary Potential, and of Generalized Normal Matrices

Iglesias D., Marrero J.C., Martín de Diego D., Martínez E., Padrón E.
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group

Martínez E.
Lie Algebroids in Classical Mechanics and Optimal Control

Fassò F., Giacobbe A.
Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System

Dunkl C.F.
Polynomials Associated with Dihedral Groups

Bozhkov Y., Mitidieri E.
Lie Symmetries and Criticality of Semilinear Differential Systems

Sakhnovich A.
Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem

Kachuryk I., Klimyk A.
Eigenfunction Expansions of Functions Describing Systems with Symmetries

Schlosser M.J.
Macdonald Polynomials and Multivariable Basic Hypergeometric Series

Gurappa N., Jha P.K., Panigrahi P.K.
On the Applications of a New Technique to Solve Linear Differential Equations, with and without Source

Petrera M., Ragnisco O.
From su(2) Gaudin Models to Integrable Tops

Loutsenko I.M., Spiridonov V.P.
A Critical Phenomenon in Solitonic Ising Chains

Mukhin E., Tarasov V., Varchenko A.
Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel

Oshima T.
Completely Integrable Systems Associated with Classical Root Systems

Sergyeyev A.
Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility

Koornwinder T.H.
The Relationship between Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case

Groza V.A.
Degenerate Series Representations of the q-Deformed Algebra so'_q(r,s)

Grünbaum F.A.
The Rahman Polynomials Are Bispectral

Chekhov L.O.
Teichmüller Theory of Bordered Surfaces

Quesne C.
Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions

Aneva B.
Hidden Symmetries of Stochastic Models

Stukopin V.
Yangian of the Strange Lie Superalgebra of Q_n-1 Type, Drinfel'd Approach

MacArthur J.D., McLenaghan R.G., Smirnov R.G.
Hamilton-Jacobi Theory and Moving Frames

Kostov N.A., Gerdjikov V.S., Valchev T.I.
Exact Solutions for Equations of Bose-Fermi Mixtures in One-Dimensional Optical Lattice

Kirillov A.N.
Skew Divided Difference Operators and Schubert Polynomials

Tamizhmani K.M., Grammaticos B., Ramani A.
Do All Integrable Evolution Equations Have the Painlevé Property?

Komarov I.V.
Vadim Kuznetsov. Informal Biography by Eyes of His First Adviser

Saniga M., Planat M., Pracna P., Havlicek H.
The Veldkamp Space of Two-Qubits

Albouy O., Kibler M.R.
SU₂ Nonstandard Bases: Case of Mutually Unbiased Bases

Benalili M., Lansari A.
Global Stability of Dynamic Systems of High Order

Nakai W., Nakanishi T.
Paths and Tableaux Descriptions of Jacobi-Trudi Determinant Associated with Quantum Affine Algebra of Type Cn

McRae A.S.
Clifford Algebras and Possible Kinematics

Kuznetsov V., Sklyanin E.
Bäcklund Transformation for the BC-Type Toda Lattice

Peterson L.G.
Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference

Molchan M.A.
Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media

Eastwood M., Ryan J.
Monogenic Functions in Conformal Geometry

Cox J.A.
An Additive Basis for the Chow Ring of M₀,₂(Pr2)

Sakovich A., Sakovich S.
On Transformations of the Rabelo Equations

Glinka Lukasz-Andrzej
Quantum Information from Graviton-Matter Gas

Scolarici G.
Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics

Hallowell K., Waldron A.
The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra

Branson T.P.
Q-Curvature, Spectral Invariants, and Representation Theory

Jackiw R.
Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces

Kibler M.R.
Miscellaneous Applications of Quons

Vassilevich D.V.
Heat Trace Asymptotics on Noncommutative Spaces

Fulling S.A.
Vacuum Energy as Spectral Geometry

Brozos-Vázquez M., Fiedler B., García-Río E., Gilkey P., Nikcevic S., Stanilov G., Tsankov Y., Vázquez-Lorenzo R., Videv V.
Stanilov-Tsankov-Videv Theory

Choudhuri A., Talukdar B., Das U.
Lagrangian Approach to Dispersionless KdV Hierarchy

Hubert E., Olver P.J.
Differential Invariants of Conformal and Projective Surfaces

Booß-Bavnbek B., Esposito G., Lesch M.
Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry

Boukraa S., Hassani S., Maillard Jean-Marie, Zenine N.
From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curve

Gover A.R.
Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds

Foth T.
Toeplitz Operators, Kähler Manifolds, and Line Bundles

Branson T.P., Hong D.
Translation to Bundle Operators

Qadir A.
Geometric Linearization of Ordinary Differential Equations

Ugalde W.J.
Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary

Altaisky M.V.
Wavelet-Based Quantum Field Theory

Sahi S., Zhang G.
Biorthogonal Expansion of Non-Symmetric Jack Functions

Fülöp T.
Singular Potentials in Quantum Mechanics and Ambiguity in the Self-Adjoint Hamiltonian

Jílek M.
Straight Quantum Waveguide with Robin Boundary Conditions

Fortin Boisvert M.
Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions

Moshinsky M., Sadurní E., del Campo A.
Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem

Cap A., Soucek V.
Curved Casimir Operators and the BGG Machinery

Gavrilik A.M., Rebesh A.P.
Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels

Eastwood M.G.
Symmetries and Invariant Differential Pairings

Balinsky A., Ryan J.
Some Sharp L² Inequalities for Dirac Type Operators

Hussain I., Mahomed F.M., Qadir A.
Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle

Borshch M.S., Zhdanov V.I.
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows

Feranchuk I.D., Feranchuk S.I.
Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation

Labbi M.L.
On Gauss-Bonnet Curvatures

Hijazi O., Raulot S.
Branson's Q-curvature in Riemannian and Spin Geometry

Malchiodi A.
Conformal Metrics with Constant Q-Curvature

Graham C.R.
Conformal Powers of the Laplacian via Stereographic Projection

Sun-Yung A. Chang, Qing J., Yang P.
Some Progress in Conformal Geometry

Adam C., Sanchez-Guillen J., Wereszczynski A.
Integrability and Diffeomorphisms on Target Space

González León M.A., Mateos Guilarte J., M. de la Torre Mayado
Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers of Force

Buric M., Madore J., Zoupanos G.
WKB Approximation in Noncommutative Gravity

Bender C.M.
Faster than Hermitian Time Evolution

Wei S.W.
On 1-Harmonic Functions