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ЖУРНАЛЫ // Symmetry, Integrability and Geometry: Methods and Applications // Архив

2012, том 8


Numerical techniques in loop quantum cosmology
David Brizuela, Daniel Cartin, Gaurav Khanna
001
Discretisations, constraints and diffeomorphisms in quantum gravity
Benjamin Bahr, Rodolfo Gambini, Jorge Pullin
002
Supersymmetric proof of the Hirzebruch–Riemann–Roch theorem for non-Kähler manifolds
Andrei V. Smilga
003
On a Lie algebraic characterization of vector bundles
Pierre B.A. Lecomte, Thomas Leuther, Elie Zihindula Mushengezi
004
Entropy of quantum black holes
Romesh K. Kaul
005
On Lie algebroids and Poisson algebras
Dennise García-Beltrán, José A. Vallejo, Yuriĭ Vorobjev
006
On the dimension of the group of projective transformations of closed randers and Riemannian manifolds
Vladimir S. Matveev
007
Discrete spectral transformations of skew orthogonal polynomials and associated discrete integrable systems
Hiroshi Miki, Hiroaki Goda, Satoshi Tsujimoto
008
Lessons from toy-models for the dynamics of loop quantum gravity
Valentin Bonzom, Alok Laddha
009
Matter in loop quantum gravity
Ghanashyam Date, Golam Mortuza Hossain
010
Deformation quantization by Moyal star-product and Stratonovich chaos
Rémi Léandre, Maurice Obame Nguema
011
New variables of separation for the Steklov–Lyapunov system
Andrey V. Tsiganov
012
Exponential formulas and Lie algebra type star products
Stjepan Meljanac, Zoran Škoda, Dragutin Svrtan
013
Emergent braided matter of quantum geometry
Sundance Bilson-Thompson, Jonathan Hackett, Louis Kauffman, Yidun Wan
014
Learning about quantum gravity with a couple of nodes
Enrique F. Borja, Iñaki Garay, Francesca Vidotto
015
Introduction to loop quantum cosmology
Kinjal Banerjee, Gianluca Calcagni, Mercedes Martín-Benito
016
Relational observables in gravity: a review
Johannes Tambornino
017
Intersecting quantum gravity with noncommutative geometry – a review
Johannes Aastrup, Jesper Møller Grimstrup
018
Tippe Top equations and equations for the related mechanical systems
Nils Rutstam
019
Colored tensor models – a review
Razvan Gurau, James P. Ryan
020
Lagrange anchor and characteristic symmetries of free massless fields
Dmitry S. Kaparulin, Simon L. Lyakhovich, Alexey A. Sharapov
021
Conformally equivariant quantization – a complete classification
Jean-Philippe Michel
022
Classification of traces and associated determinants on odd-class operators in odd dimensions
Carolina Neira Jiménez, Marie Françoise Ouedraogo
023
Novel possibility of nonstandard statistics in the inflationary spectrum of primordial inhomogeneities
Gabriel León, Daniel Sudarsky
024
Deformed $\mathfrak{su}(1,1)$ algebra as a model for quantum oscillators
Elchin I. Jafarov, Neli I. Stoilova, Joris Van der Jeugt
025
Loop quantum gravity vacuum with nondegenerate geometry
Tim Koslowski, Hanno Sahlmann
026
Emergent models for gravity: an overview of microscopic models
Lorenzo Sindoni
027
Polynomial relations for $q$-characters via the ODE/IM correspondence
Juanjuan Sun
028
Orbit representations from linear mod 1 transformations
Carlos Correia Ramos, Nuno Martins, Paulo R. Pinto
029
Motions of curves in the projective plane. Inducing the Kaup–Kupershmidt hierarchy
Emilio Musso
030
Superintegrable Stäckel systems on the plane: elliptic and parabolic coordinates
Andrey V. Tsiganov
031
On the relations between gravity and BF theories
Laurent Freidel, Simone Speziale
032
A top-down account of linear canonical transforms
Kurt Bernardo Wolf
033
Structure theory for extended Kepler–Coulomb 3D classical superintegrable systems
Ernie G. Kalnins, Willard Miller Jr.
034
A note on the first integrals of vector fields with integrating factors and normalizers
Jaume Llibre, Daniel Peralta-Salas
035
CKP hierarchy, bosonic tau function and bosonization formulae
Johan W. van de Leur, Alexander Yu. Orlov, Takahiro Shiota
036
Building Abelian functions with generalised Baker–Hirota operators
Matthew England, Chris Athorne
037
On free pseudo-product fundamental graded Lie algebras
Tomoaki Yatsui
038
Some remarks on very-well-poised ${}_8\phi_7$ series
Jasper V. Stokman
039
The vertex algebra $m(1)^+$ and certain affine vertex algebras of level $-1$
Dražen Adamović, Ozren Perše
040
Harmonic oscillator SUSY partners and evolution loops
David J. Fernández
041
On the orthogonality of $q$-classical polynomials of the Hahn class
Renato Álvarez-Nodarse, Rezan Sevinik Adigüzel, Hasan Taşeli
042
Darboux integrals for Schrödinger planar vector fields via Darboux transformations
Primitivo B. Acosta-Humánez, Chara Pantazi
043
Commuting differential operators of rank 3 associated to a curve of genus 2
Dafeng Zuo
044
High-energy string scattering amplitudes and signless Stirling number identity
Jen-Chi Lee, Catherine H. Yan, Yi Yang
045
Another new solvable many-body model of goldfish type
Francesco Calogero
046
Mutations of Laurent polynomials and flat families with toric fibers
Nathan Owen Ilten
047
Isolated horizons and black hole entropy in Loop Quantum Gravity
Jacobo Diaz-Polo, Daniele Pranzetti
048
Hermite and Laguerre symmetric functions associated with operators of Calogero–Moser–Sutherland type
Patrick Desrosiers, Martin Hallnäs
049
Holomorphic quantization of linear field theory in the general boundary formulation
Robert Oeckl
050
A two-component generalization of the integrable rdDym equation
Oleg I. Morozov
051
Discrete gravity models and Loop Quantum Gravity: a short review
Maïté Dupuis, James P. Ryan, Simone Speziale
052
Examples of matrix factorizations from SYZ
Cheol-Hyun Cho, Hansol Hong, Sangwook Lee
053
Discrete integrable equations over finite fields
Masataka Kanki, Jun Mada, Tetsuji Tokihiro
054
Spin foams and canonical quantization
Sergei Alexandrov, Marc Geiller, Karim Noui
055
Monodromy of an inhomogeneous Picard–Fuchs equation
Guillaume Laporte, Johannes Walcher
056
A $2+1$-dimensional non-isothermal magnetogasdynamic system. Hamiltonian–Ermakov integrable reduction
Hongli An, Colin Rogers
057
Hidden symmetries of Euclideanised Kerr-NUT-(A)dS metrics in certain scaling limits
Mihai Visinescu, Gabriel Eduard Vîlcu
058
Formal integrability for the nonautonomous case of the inverse problem of the calculus of variations
Oana Constantinescu
059
Ladder operators for quantum systems confined by dihedral angles
Eugenio Ley-Koo, Guo-Hua Sun
060
Spectral analysis of certain Schrödinger operators
Mourad E.H. Ismail, Erik Koelink
061
Affine and finite Lie algebras and integrable Toda field equations on discrete space-time
Rustem Garifullin, Ismagil Habibullin, Marina Yangubaeva
062
Singular isotonic oscillator, supersymmetry and superintegrability
Ian Marquette
063
Classification of non-affine non-Hecke dynamical $R$-matrices
Jean Avan, Baptiste Billaud, Geneviéve Rollet
064
Bring's curve: its period matrix and the vector of Riemann constants
Harry W. Braden, Timothy P. Northover
065
A new class of solvable many-body problems
Francesco Calogero, Ge Yi
066
Discrete Fourier analysis and Chebyshev polynomials with $G_2$ group
Huiyuan Li, Jiachang Sun, Yuan Xu
067
Recent developments in (0,2) mirror symmetry
Ilarion Melnikov, Savdeep Sethi, Eric Sharpe
068
Complex SUSY transformations and the Painlevé IV equation
David Bermúdez
069
Superintegrable extensions of superintegrable systems
Claudia M. Chanu, Luca Degiovanni, Giovanni Rastelli
070
Conservation laws, hodograph transformation and boundary value problems of plane plasticity
Sergey I. Senashov, Alexander Yakhno
071
KZ characteristic variety as the zero set of classical Calogero–Moser Hamiltonians
Evgeny Mukhin, Vitaly Tarasov, Alexander Varchenko
072
Application of the $B$-determining equations method to one problem of free turbulence
Oleg V. Kaptsov, Alexey V. Schmidt
073
Ladder operators for Lamé spheroconal harmonic polynomials
Ricardo Méndez-Fragoso, Eugenio Ley-Koo
074
Sylvester versus Gundelfinger
Andries E. Brouwer, Mihaela Popoviciu
075
Recursion operators and Frobenius manifolds
Franco Magri
076
Definite integrals using orthogonality and integral transforms
Howard S. Cohl, Hans Volkmer
077
Frobenius 3-folds via singular flat 3-webs
Sergey I. Agafonov
078
Rational Calogero–Moser model: explicit form and $r$-matrix of the second Poisson structure
Jean Avan, Eric Ragoucy
079
Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen–Morse II and Eckart potentials
Christiane Quesne
080
Entanglement properties of a higher-integer-spin AKLT model with quantum group symmetry
Chikashi Arita, Kohei Motegi
081
Solutions of the Dirac equation in a magnetic field and intertwining operators
Alonso Contreras-Astorga, David J. Fernández C., Javier Negro
082
‘Magic’ configurations of three-qubit observables and geometric hyperplanes of the smallest split Cayley hexagon
Metod Saniga, Michel Planat, Petr Pracna, Péter Lévay
083
Quasi-Grammian Solutions of the Generalized Coupled Dispersionless Integrable System
Bushra Haider, Mahmood-ul Hassan
084
Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
Ryu Sasaki, Kouchi Takemura
085
On Affine Fusion and the Phase Model
Mark A. Walton
086
Geometric Theory of the Recursion Operators for the Generalized Zakharov–Shabat System in Pole Gauge on the Algebra $\mathrm{sl}(n,\mathbb C)$ with and without Reductions
Alexandar B. Yanovski, Gaetano Vilasi
087
Nekrasov's Partition Function and Refined Donaldson–Thomas Theory: the Rank One Case
Balázs Szendrői
088
Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables
Philip Broadbridge, Claudia M. Chanu, Willard Miller Jr.
089
The Klein–Gordon Equation and Differential Substitutions of the Form $v=\varphi(u,u_x,u_y)$
Mariya N. Kuznetsova, Asli Pekcan, Anatoliy V. Zhiber
090
Covariant Fields of $C^*$-Algebras under Rieffel Deformation
Fabian Belmonte, Marius Măntoiu
091
Orthogonal Basic Hypergeometric Laurent Polynomials
Mourad E. H. Ismail, Dennis Stanton
092
Coherent States for Tremblay–Turbiner–Winternitz Potential
Yusuf Sucu, Nuri Unal
093
Minkowski Polynomials and Mutations
Mohammad Akhtar, Tom Coates, Sergey Galkin, Alexander M. Kasprzyk
094
Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles
Andrey M. Levin, Mikhail A. Olshanetsky, Andrey V. Smirnov, Andrei V. Zotov
095
Time-Frequency Integrals and the Stationary Phase Method in Problems of Waves Propagation from Moving Sources
Gennadiy Burlak, Vladimir Rabinovich
096
Construction of a Lax Pair for the $E_6^{(1)}$ $q$-Painlevé System
Nicholas S. Witte, Christopher M. Ormerod
097
Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
Florian Girelli, Franz Hinterleitner, Seth A. Major
098
On the Number of Real Roots of the Yablonskii–Vorob'ev Polynomials
Pieter Roffelsen
099
Geometry of Spectral Curves and All Order Dispersive Integrable System
Г. Боро, Bertrand Eynard
100
Renormalization Method and Mirror Symmetry
Si Li
101
Old and New Reductions of Dispersionless Toda Hierarchy
Kanehisa Takasaki
102
Whitham's Method and Dubrovin–Novikov Bracket in Single-Phase and Multiphase Cases
Andrei Ya. Maltsev
103
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras
Tomoki Nakanishi
104
Separation of Variables and Contractions on Two-Dimensional Hyperboloid
Ernie Kalnins, George S. Pogosyan, Alexander Yakhno
105
Nonlocal Symmetries, Telescopic Vector Fields and $\lambda$-Symmetries of Ordinary Differential Equations
Concepción Muriel, Juan Luis Romero
106


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