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2010, том 6  


Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements
Zdenka Riečanová
001
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
002
Modularity, Atomicity and States in Archimedean Lattice Effect Algebras
Jan Paseka
003
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
004
Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups
Giovanni Calvaruso, Eduardo García-Río
005
Peterson's Deformations of Higher Dimensional Quadrics
Ion I. Dincă
006
Quantum Isometry Group for Spectral Triples with Real Structu
Debashish Goswami
007
On Special Berwald Metrics
Akbar Tayebi, Esmaeil Peyghan
008
$\mathcal P\mathcal T$ Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues
Emanuela Caliceti, Francesco Cannata, Sandro Graffi
009
$q$-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
010
Krein Spaces in de Sitter Quantum Theories
Jean-Pierre Gazeau, Petr Siegl, Ahmed Youssef
011
Bäcklund Transformations for the Trigonometric Gaudin Magnet
Orlando Ragnisco, Federico Zullo
012
Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for $A^{(1)}_n$
Atsuo Kuniba, Taichiro Takagi
013
$Q$-system Cluster Algebras, Paths and Total Positivity
Philippe Di Francesco, Rinat Kedem
014
Anharmonic Oscillators with Infinitely Many Real Eigenvalues and $\mathcal{PT}$-Symmetry
Kwang C. Shin
015
From Noncommutative Sphere to Nonrelativistic Spin
Alexei A. Deriglazov
016
Solitary Waves in Massive Nonlinear $\mathbb S^N$-Sigma Models
Alberto Alonso Izquierdo, Miguel Ángel González León, Marina de la Torre Mayado
017
The Integrability of New Two-Component KdV Equation
Ziemowit Popowicz
018
Emergent Abelian Gauge Fields from Noncommutative Gravity
Allen Stern
019
Geodesic Reduction via Frame Bundle Geometry
Ajit Bhand
020
On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group
Wafaa Batat, Salima Rahmani
021
Zero Action on Perfect Crystals for $U_q(G_2^{(1)})$
Kailash C. Misra, Mahathir Mohamad, Masato Okado
022
Epsilon Systems on Geometric Crystals of type $A_n$
Toshiki Nakashima
023
Ordering of Energy Levels for Extended $\mathrm{SU}(N)$ Hubbard Chain
Tigran Hakobyan
024
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves
Matthew England
025
Spectral Distances: Results for Moyal Plane and Noncommutative Torus
Eric Cagnache, Jean-Christophe Wallet
026
Level Set Structure of an Integrable Cellular Automaton
Taichiro Takagi
027
Yang–Baxter Maps from the Discrete BKP Equation
Saburo Kakei, Jonathan J. C. Nimmo, Ralph Willox
028
Jordan–Schwinger Representations and Factorised Yang–Baxter Operators
David Karakhanyan, Roland Kirschner
029
Baker–Akhiezer Modules on Rational Varieties
Irina A. Melnik, Andrey E. Mironov
030
On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff–Love Constraints
Vasyl Kovalchuk
031
A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds
Jérôme Dubois, Igor G. Korepanov, Evgeniy V. Martyushev
032
On Quadrirational Yang–Baxter Maps
V. G. Papageorgiou, Yu. B. Suris, A. G. Tongas, A. P. Veselov
033
The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces
Oksana Ye. Hentosh
034
Monomial Crystals and Partition Crystals
Peter Tingley
035
Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions
Ralph M. Kaufmann
036
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
037
Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
Xavier Bekaert, Maxim Grigoriev
038
Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
Birgit Wehefritz-Kaufmann
039
Integral calculus on $E_q(2)$
Tomasz Brzeziński
040
Strong Field, Noncommutative QED
Anton Ilderton, Joakim Lundin, Mattias Marklund
041
Discrete Minimal Surface Algebras
Joakim Arnlind, Jens Hoppe
042
Supersymmetry of Affine Toda Models as Fermionic Symmetry Flows of the Extended mKdV Hierarchy
David M. Schmidtt
043
Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
V. S. Gerdjikov, G. G. Grahovski
044
The Noncommutative Ward Metric
O. Lechtenfeld, M. Maceda
045
The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation
B. J. Durhuus, V. Gayral
046
Translation-Invariant Noncommutative Renormalization
Adrian Tanasa
047
On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
Axel de Goursac
048
Finite Unification: Theory and Predictions
Sven Heinemeyer, Myriam Mondragón, George Zoupanos
049
The Multitrace Matrix Model of Scalar Field Theory on Fuzzy $\mathbb CP^n$
Christian Sämann
050
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
Warisa Nakpim, Sergey V. Meleshko
051
Quantum Fields on Noncommutative Spacetimes: Theory and Phenomenology
Aiyalam P. Balachandran, Alberto Ibort, Giuseppe Marmo, Mario Martone
052
Cosmological Symmetry Breaking and Generation of Electromagnetic Field
Michiyasu Nagasawa
053
Horizontal Forms of Chern Type on Complex Finsler Bundles
Cristian Ida
054
Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions
Aristophanes Dimakis, Folkert Müller-Hoissen
055
A Note on Dirac Operators on the Quantum Punctured Disk
Slawomir Klimek, Matt McBride
056
A View on Optimal Transport from Noncommutative Geometry
Francesco D'Andrea, Pierre Martinetti
057
Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
Horatiu Nastase, Constantinos Papageorgakis
058
Noncommutativity and Duality through the Symplectic Embedding Formalism
Everton M. C. Abreu, Albert C. R. Mendes, Wilson Oliveira
059
Exotic Galilean Symmetry and Non-Commutative Mechanics
Peter A. Horváthy, Luigi Martina, Peter C. Stichel
060
Field Theory on Curved Noncommutative Spacetimes
Alexander Schenkel, Christoph F. Uhlemann
061
Gauge Theories on Deformed Spaces
Daniel N. Blaschke, Erwin Kronberger, René I. P. Sedmik, Michael Wohlgenannt
062
Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
Athanasios Chatzistavrakidis, George Zoupanos
063
Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry
Nicolas Franco
064
Double Affine Hecke Algebras of Rank 1 and the $\mathbb Z_3$-Symmetric Askey–Wilson Relations
Tatsuro Ito, Paul Terwilliger
065
Tools for Verifying Classical and Quantum Superintegrability
Ernest G. Kalnins, Jonathan M. Kress, Willard Miller Jr.
066
Modular Theory, Non-Commutative Geometry and Quantum Gravity
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
067
Twist Quantization of String and Hopf Algebraic Symmetry
Tsuguhiko Asakawa, Satoshi Watamura
068
Balanced Metrics and Noncommutative Kähler Geometry
Sergio Lukić
069
$C$-Integrability Test for Discrete Equations via Multiple Scale Expansions
Christian Scimiterna, Decio Levi
070
Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
Kazuki Hasebe
071
Measure Theory in Noncommutative Spaces
Steven Lord, Fedor Sukochev
072
Quantum Spacetime: a Disambiguation
Gherardo Piacitelli
073
Snyder Space-Time: K-Loop and Lie Triple System
Florian Girelli
074
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
Mikhail V. Ioffe
075
Erlangen Program at Large-1: Geometry of Invariants
Vladimir V. Kisil
076
A Canonical Trace Associated with Certain Spectral Triples
Sylvie Paycha
077
A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function $ _{n+1}F_n$
Takao Suzuki
078
Non-Perturbative Asymptotic Improvement of Perturbation Theory and Mellin–Barnes Representation
Samuel Friot, David Greynat
079
Quantum Integrable 1D anyonic Models: Construction through Braided Yang–Baxter Equation
Anjan Kundu
080
Singular Reduction of Generalized Complex Manifolds
Timothy E. Goldberg
081
Universal Low Temperature Asymptotics of the Correlation Functions of the Heisenberg Chain
Nicolas Crampé, Frank Göhmann, Andreas Klümper
082
The Noncommutative Doplicher–Fredenhagen–Roberts–Amorim Space
Everton M. C. Abreu, Albert C. R. Mendes, Wilson Oliveira, Adriano O. Zangirolami
083
Hypergeometric $\tau$ Functions of the $q$-Painlevé Systems of Type $(A_2+A_1)^{(1)}$
Nobutaka Nakazono
084
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems
Tomoki Nakanishi, Roberto Tateo
085
$\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
Andrzej Borowiec, Anna Pachol
086
Quiver Varieties with Multiplicities, Weyl Groups of Non-Symmetric Kac–Moody Algebras, and Painlevé Equations
Daisuke Yamakawa
087
Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability
S. Habib Mazharimousavi, Omar Mustafa
088
Junction Type Representations of the Temperley–Lieb Algebra and Associated Symmetries
Anastasia Doikou, Nikos Karaiskos
089
On a Family of $2$-Variable Orthogonal Krawtchouk Polynomials
F. Alberto Grünbaum, Mizan Rahman
090
One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane–Shastry Like Spin Chains
Bireswar Basu-Mallick, Nilanjan Bondyopadhaya, Kazuhiro Hikami
091
On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
Sergey Ya. Startsev
092
Pseudo-Bosons from Landau Levels
Fabio Bagarello
093
Universal Bethe Ansatz and Scalar Products of Bethe Vectors
Samuel Belliard, Stanislav Pakuliak, Eric Ragoucy
094
Irrationality of the Roots of the Yablonskii–Vorob'ev Polynomials and Relations between Them
Pieter Roffelsen
095
Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States
Omar Cherbal, Mahrez Drir, Mustapha Maamache, Dimitar A. Trifonov
096
A Family of Exactly Solvable Radial Quantum Systems on Space of Non-Constant Curvature with Accidental Degeneracy in the Spectrum
Orlando Ragnisco, Danilo Riglioni
097
Multi-Well Potentials in Quantum Mechanics and Stochastic Processes
Victor P. Berezovoj, Glib I. Ivashkevych, Mikhail I. Konchatnij
098
Notes on TQFT Wire Models and Coherence Equations for $SU(3)$ Triangular Cells
Robert Coquereaux, Esteban Isasi, Gil Schieber
099
Sklyanin Determinant for Reflection Algebra
Natasha Rozhkovskaya
100
Symmetry, Integrability and Geometry: Methods and Applications
 
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