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Symmetry, integrability and geometry: methods and applications
Tome 6 (2010)
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Tome 6 (2010)
Sommaire
Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements
Zdenka Riečanová
On a Nonlocal Ostrovsky–Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability
Jołanta Golenia
;
Maxim V. Pavlov
;
Ziemowit Popowicz
;
Anatoliy K. Prykarpatsky
Modularity, Atomicity and States in Archimedean Lattice Effect Algebras
Jan Paseka
Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models
V. V. Kudryashov
;
Yu. A. Kurochkin
;
E. M. Ovsiyuk
;
V. M. Red'kov
Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups
Giovanni Calvaruso
;
Eduardo García-Río
Peterson's Deformations of Higher Dimensional Quadrics
Ion I. Dincă
Quantum Isometry Group for Spectral Triples with Real Structu
Debashish Goswami
On Special Berwald Metrics
Akbar Tayebi
;
Esmaeil Peyghan
$\mathcal P\mathcal T$
Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues
Emanuela Caliceti
;
Francesco Cannata
;
Sandro Graffi
$q$
-Analog of Gelfand–Graev Basis for the Noncompact Quantum Algebra
$U_q(u(n,1))$
Raisa M. Asherova
;
Čestmír Burdík
;
Miloslav Havlíček
;
Yuri F. Smirnov
;
Valeriy N. Tolstoy
Krein Spaces in de Sitter Quantum Theories
Jean-Pierre Gazeau
;
Petr Siegl
;
Ahmed Youssef
Bäcklund Transformations for the Trigonometric Gaudin Magnet
Orlando Ragnisco
;
Federico Zullo
Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for
$A^{(1)}_n$
Atsuo Kuniba
;
Taichiro Takagi
$Q$
-system Cluster Algebras, Paths and Total Positivity
Philippe Di Francesco
;
Rinat Kedem
Anharmonic Oscillators with Infinitely Many Real Eigenvalues and
$\mathcal{PT}$
-Symmetry
Kwang C. Shin
From Noncommutative Sphere to Nonrelativistic Spin
Alexei A. Deriglazov
Solitary Waves in Massive Nonlinear
$\mathbb S^N$
-Sigma Models
Alberto Alonso Izquierdo
;
Miguel Ángel González León
;
Marina de la Torre Mayado
The Integrability of New Two-Component KdV Equation
Ziemowit Popowicz
Emergent Abelian Gauge Fields from Noncommutative Gravity
Allen Stern
Geodesic Reduction via Frame Bundle Geometry
Ajit Bhand
On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group
Wafaa Batat
;
Salima Rahmani
Zero Action on Perfect Crystals for
$U_q(G_2^{(1)})$
Kailash C. Misra
;
Mahathir Mohamad
;
Masato Okado
Epsilon Systems on Geometric Crystals of type
$A_n$
Toshiki Nakashima
Ordering of Energy Levels for Extended
$\mathrm{SU}(N)$
Hubbard Chain
Tigran Hakobyan
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves
Matthew England
Spectral Distances: Results for Moyal Plane and Noncommutative Torus
Eric Cagnache
;
Jean-Christophe Wallet
Level Set Structure of an Integrable Cellular Automaton
Taichiro Takagi
Yang–Baxter Maps from the Discrete BKP Equation
Saburo Kakei
;
Jonathan J. C. Nimmo
;
Ralph Willox
Jordan–Schwinger Representations and Factorised Yang–Baxter Operators
David Karakhanyan
;
Roland Kirschner
Baker–Akhiezer Modules on Rational Varieties
Irina A. Melnik
;
Andrey E. Mironov
On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff–Love Constraints
Vasyl Kovalchuk
A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds
Jérôme Dubois
;
Igor G. Korepanov
;
Evgeniy V. Martyushev
On Quadrirational Yang–Baxter Maps
V. G. Papageorgiou
;
Yu. B. Suris
;
A. G. Tongas
;
A. P. Veselov
The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces
Oksana Ye. Hentosh
Monomial Crystals and Partition Crystals
Peter Tingley
Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions
Ralph M. Kaufmann
One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative
$p^{-2}$
$U(1)$
Gauge Model
Daniel N. Blaschke
;
Arnold Rofner
;
René I. P. Sedmik
Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
Xavier Bekaert
;
Maxim Grigoriev
Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
Birgit Wehefritz-Kaufmann
Integral calculus on
$E_q(2)$
Tomasz Brzeziński
Strong Field, Noncommutative QED
Anton Ilderton
;
Joakim Lundin
;
Mattias Marklund
Discrete Minimal Surface Algebras
Joakim Arnlind
;
Jens Hoppe
Supersymmetry of Affine Toda Models as Fermionic Symmetry Flows of the Extended mKdV Hierarchy
David M. Schmidtt
Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
V. S. Gerdjikov
;
G. G. Grahovski
The Noncommutative Ward Metric
O. Lechtenfeld
;
M. Maceda
The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation
B. J. Durhuus
;
V. Gayral
Translation-Invariant Noncommutative Renormalization
Adrian Tanasa
On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
Axel de Goursac
Finite Unification: Theory and Predictions
Sven Heinemeyer
;
Myriam Mondragón
;
George Zoupanos
The Multitrace Matrix Model of Scalar Field Theory on Fuzzy
$\mathbb CP^n$
Christian Sämann
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
Warisa Nakpim
;
Sergey V. Meleshko
Quantum Fields on Noncommutative Spacetimes: Theory and Phenomenology
Aiyalam P. Balachandran
;
Alberto Ibort
;
Giuseppe Marmo
;
Mario Martone
Cosmological Symmetry Breaking and Generation of Electromagnetic Field
Michiyasu Nagasawa
Horizontal Forms of Chern Type on Complex Finsler Bundles
Cristian Ida
Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions
Aristophanes Dimakis
;
Folkert Müller-Hoissen
A Note on Dirac Operators on the Quantum Punctured Disk
Slawomir Klimek
;
Matt McBride
A View on Optimal Transport from Noncommutative Geometry
Francesco D'Andrea
;
Pierre Martinetti
Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
Horatiu Nastase
;
Constantinos Papageorgakis
Noncommutativity and Duality through the Symplectic Embedding Formalism
Everton M. C. Abreu
;
Albert C. R. Mendes
;
Wilson Oliveira
Exotic Galilean Symmetry and Non-Commutative Mechanics
Peter A. Horváthy
;
Luigi Martina
;
Peter C. Stichel
Field Theory on Curved Noncommutative Spacetimes
Alexander Schenkel
;
Christoph F. Uhlemann
Gauge Theories on Deformed Spaces
Daniel N. Blaschke
;
Erwin Kronberger
;
René I. P. Sedmik
;
Michael Wohlgenannt
Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
Athanasios Chatzistavrakidis
;
George Zoupanos
Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry
Nicolas Franco
Double Affine Hecke Algebras of Rank 1 and the
$\mathbb Z_3$
-Symmetric Askey–Wilson Relations
Tatsuro Ito
;
Paul Terwilliger
Tools for Verifying Classical and Quantum Superintegrability
Ernest G. Kalnins
;
Jonathan M. Kress
;
Willard Miller Jr.
Modular Theory, Non-Commutative Geometry and Quantum Gravity
Paolo Bertozzini
;
Roberto Conti
;
Wicharn Lewkeeratiyutkul
Twist Quantization of String and Hopf Algebraic Symmetry
Tsuguhiko Asakawa
;
Satoshi Watamura
Balanced Metrics and Noncommutative Kähler Geometry
Sergio Lukić
$C$
-Integrability Test for Discrete Equations via Multiple Scale Expansions
Christian Scimiterna
;
Decio Levi
Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
Kazuki Hasebe
Measure Theory in Noncommutative Spaces
Steven Lord
;
Fedor Sukochev
Quantum Spacetime: a Disambiguation
Gherardo Piacitelli
Snyder Space-Time: K-Loop and Lie Triple System
Florian Girelli
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
Mikhail V. Ioffe
Erlangen Program at Large-1: Geometry of Invariants
Vladimir V. Kisil
A Canonical Trace Associated with Certain Spectral Triples
Sylvie Paycha
A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function
${}_{n+1}F_n$
Takao Suzuki
Non-Perturbative Asymptotic Improvement of Perturbation Theory and Mellin–Barnes Representation
Samuel Friot
;
David Greynat
Quantum Integrable 1D anyonic Models: Construction through Braided Yang–Baxter Equation
Anjan Kundu
Singular Reduction of Generalized Complex Manifolds
Timothy E. Goldberg
Universal Low Temperature Asymptotics of the Correlation Functions of the Heisenberg Chain
Nicolas Crampé
;
Frank Göhmann
;
Andreas Klümper
The Noncommutative Doplicher–Fredenhagen–Roberts–Amorim Space
Everton M. C. Abreu
;
Albert C. R. Mendes
;
Wilson Oliveira
;
Adriano O. Zangirolami
Hypergeometric
$\tau$
Functions of the
$q$
-Painlevé Systems of Type
$(A_2+A_1)^{(1)}$
Nobutaka Nakazono
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems
Tomoki Nakanishi
;
Roberto Tateo
$\kappa$
-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
Andrzej Borowiec
;
Anna Pachol
Quiver Varieties with Multiplicities, Weyl Groups of Non-Symmetric Kac–Moody Algebras, and Painlevé Equations
Daisuke Yamakawa
Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability
S. Habib Mazharimousavi
;
Omar Mustafa
Junction Type Representations of the Temperley–Lieb Algebra and Associated Symmetries
Anastasia Doikou
;
Nikos Karaiskos
On a Family of
$2$
-Variable Orthogonal Krawtchouk Polynomials
F. Alberto Grünbaum
;
Mizan Rahman
One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane–Shastry Like Spin Chains
Bireswar Basu-Mallick
;
Nilanjan Bondyopadhaya
;
Kazuhiro Hikami
On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
Sergey Ya. Startsev
Pseudo-Bosons from Landau Levels
Fabio Bagarello
Universal Bethe Ansatz and Scalar Products of Bethe Vectors
Samuel Belliard
;
Stanislav Pakuliak
;
Eric Ragoucy
Irrationality of the Roots of the Yablonskii–Vorob'ev Polynomials and Relations between Them
Pieter Roffelsen
Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States
Omar Cherbal
;
Mahrez Drir
;
Mustapha Maamache
;
Dimitar A. Trifonov
A Family of Exactly Solvable Radial Quantum Systems on Space of Non-Constant Curvature with Accidental Degeneracy in the Spectrum
Orlando Ragnisco
;
Danilo Riglioni
Multi-Well Potentials in Quantum Mechanics and Stochastic Processes
Victor P. Berezovoj
;
Glib I. Ivashkevych
;
Mikhail I. Konchatnij
Notes on TQFT Wire Models and Coherence Equations for
$SU(3)$
Triangular Cells
Robert Coquereaux
;
Esteban Isasi
;
Gil Schieber
Sklyanin Determinant for Reflection Algebra
Natasha Rozhkovskaya