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Geodesic


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Symmetry, integrability and geometry: methods and applications
Tome 8 (2012)
Précédent Suivant


Numerical techniques in loop quantum cosmology
David Brizuela ; Daniel Cartin ; Gaurav Khanna

Discretisations, constraints and diffeomorphisms in quantum gravity
Benjamin Bahr ; Rodolfo Gambini ; Jorge Pullin

Supersymmetric proof of the Hirzebruch–Riemann–Roch theorem for non-Kähler manifolds
Andrei V. Smilga

On a Lie algebraic characterization of vector bundles
Pierre B.A. Lecomte ; Thomas Leuther ; Elie Zihindula Mushengezi

Entropy of quantum black holes
Romesh K. Kaul

On Lie algebroids and Poisson algebras
Dennise García-Beltrán ; José A. Vallejo ; Yuriǐ Vorobjev

On the dimension of the group of projective transformations of closed randers and Riemannian manifolds
Vladimir S. Matveev

Discrete spectral transformations of skew orthogonal polynomials and associated discrete integrable systems
Hiroshi Miki ; Hiroaki Goda ; Satoshi Tsujimoto

Lessons from toy-models for the dynamics of loop quantum gravity
Valentin Bonzom ; Alok Laddha

Matter in loop quantum gravity
Ghanashyam Date ; Golam Mortuza Hossain

Deformation quantization by Moyal star-product and Stratonovich chaos
Rémi Léandre ; Maurice Obame Nguema

New variables of separation for the Steklov–Lyapunov system
Andrey V. Tsiganov

Exponential formulas and Lie algebra type star products
Stjepan Meljanac ; Zoran Škoda ; Dragutin Svrtan

Emergent braided matter of quantum geometry
Sundance Bilson-Thompson ; Jonathan Hackett ; Louis Kauffman ; Yidun Wan

Learning about quantum gravity with a couple of nodes
Enrique F. Borja ; Iñaki Garay ; Francesca Vidotto

Introduction to loop quantum cosmology
Kinjal Banerjee ; Gianluca Calcagni ; Mercedes Martín-Benito

Relational observables in gravity: a review
Johannes Tambornino

Intersecting quantum gravity with noncommutative geometry – a review
Johannes Aastrup ; Jesper Møller Grimstrup

Tippe Top equations and equations for the related mechanical systems
Nils Rutstam

Colored tensor models – a review
Razvan Gurau ; James P. Ryan

Lagrange anchor and characteristic symmetries of free massless fields
Dmitry S. Kaparulin ; Simon L. Lyakhovich ; Alexey A. Sharapov

Conformally equivariant quantization – a complete classification
Jean-Philippe Michel

Classification of traces and associated determinants on odd-class operators in odd dimensions
Carolina Neira Jiménez ; Marie Françoise Ouedraogo

Novel possibility of nonstandard statistics in the inflationary spectrum of primordial inhomogeneities
Gabriel León ; Daniel Sudarsky

Deformed $\mathfrak{su}(1,1)$ algebra as a model for quantum oscillators
Elchin I. Jafarov ; Neli I. Stoilova ; Joris Van der Jeugt

Loop quantum gravity vacuum with nondegenerate geometry
Tim Koslowski ; Hanno Sahlmann

Emergent models for gravity: an overview of microscopic models
Lorenzo Sindoni

Polynomial relations for $q$-characters via the ODE/IM correspondence
Juanjuan Sun

Orbit representations from linear mod 1 transformations
Carlos Correia Ramos ; Nuno Martins ; Paulo R. Pinto

Motions of curves in the projective plane. Inducing the Kaup–Kupershmidt hierarchy
Emilio Musso

Superintegrable Stäckel systems on the plane: elliptic and parabolic coordinates
Andrey V. Tsiganov

On the relations between gravity and BF theories
Laurent Freidel ; Simone Speziale

A top-down account of linear canonical transforms
Kurt Bernardo Wolf

Structure theory for extended Kepler–Coulomb 3D classical superintegrable systems
Ernie G. Kalnins ; Willard Miller Jr.

A note on the first integrals of vector fields with integrating factors and normalizers
Jaume Llibre ; Daniel Peralta-Salas

CKP hierarchy, bosonic tau function and bosonization formulae
Johan W. van de Leur ; Alexander Yu. Orlov ; Takahiro Shiota

Building Abelian functions with generalised Baker–Hirota operators
Matthew England ; Chris Athorne

On free pseudo-product fundamental graded Lie algebras
Tomoaki Yatsui

Some remarks on very-well-poised ${}_8\phi_7$ series
Jasper V. Stokman

The vertex algebra $m(1)^+$ and certain affine vertex algebras of level $-1$
Dražen Adamović ; Ozren Perše

Harmonic oscillator SUSY partners and evolution loops
David J. Fernández

On the orthogonality of $q$-classical polynomials of the Hahn class
Renato Álvarez-Nodarse ; Rezan Sevinik Adigüzel ; Hasan Taşeli

Darboux integrals for Schrödinger planar vector fields via Darboux transformations
Primitivo B. Acosta-Humánez ; Chara Pantazi

Commuting differential operators of rank 3 associated to a curve of genus 2
Dafeng Zuo

High-energy string scattering amplitudes and signless Stirling number identity
Jen-Chi Lee ; Catherine H. Yan ; Yi Yang

Another new solvable many-body model of goldfish type
Francesco Calogero

Mutations of Laurent polynomials and flat families with toric fibers
Nathan Owen Ilten

Isolated horizons and black hole entropy in Loop Quantum Gravity
Jacobo Diaz-Polo ; Daniele Pranzetti

Hermite and Laguerre symmetric functions associated with operators of Calogero–Moser–Sutherland type
Patrick Desrosiers ; Martin Hallnäs

Holomorphic quantization of linear field theory in the general boundary formulation
Robert Oeckl

A two-component generalization of the integrable rdDym equation
Oleg I. Morozov

Discrete gravity models and Loop Quantum Gravity: a short review
Maïté Dupuis ; James P. Ryan ; Simone Speziale

Examples of matrix factorizations from SYZ
Cheol-Hyun Cho ; Hansol Hong ; Sangwook Lee

Discrete integrable equations over finite fields
Masataka Kanki ; Jun Mada ; Tetsuji Tokihiro

Spin foams and canonical quantization
Sergei Alexandrov ; Marc Geiller ; Karim Noui

Monodromy of an inhomogeneous Picard–Fuchs equation
Guillaume Laporte ; Johannes Walcher

A $2+1$-dimensional non-isothermal magnetogasdynamic system. Hamiltonian–Ermakov integrable reduction
Hongli An ; Colin Rogers

Hidden symmetries of Euclideanised Kerr-NUT-(A)dS metrics in certain scaling limits
Mihai Visinescu ; Gabriel Eduard Vîlcu

Formal integrability for the nonautonomous case of the inverse problem of the calculus of variations
Oana Constantinescu

Ladder operators for quantum systems confined by dihedral angles
Eugenio Ley-Koo ; Guo-Hua Sun

Spectral analysis of certain Schrödinger operators
Mourad E.H. Ismail ; Erik Koelink

Affine and finite Lie algebras and integrable Toda field equations on discrete space-time
Rustem Garifullin ; Ismagil Habibullin ; Marina Yangubaeva

Singular isotonic oscillator, supersymmetry and superintegrability
Ian Marquette

Classification of non-affine non-Hecke dynamical $R$-matrices
Jean Avan ; Baptiste Billaud ; Geneviéve Rollet

Bring's curve: its period matrix and the vector of Riemann constants
Harry W. Braden ; Timothy P. Northover

A new class of solvable many-body problems
Francesco Calogero ; Ge Yi

Discrete Fourier analysis and Chebyshev polynomials with $G_2$ group
Huiyuan Li ; Jiachang Sun ; Yuan Xu

Recent developments in (0,2) mirror symmetry
Ilarion Melnikov ; Savdeep Sethi ; Eric Sharpe

Complex SUSY transformations and the Painlevé IV equation
David Bermúdez

Superintegrable extensions of superintegrable systems
Claudia M. Chanu ; Luca Degiovanni ; Giovanni Rastelli

Conservation laws, hodograph transformation and boundary value problems of plane plasticity
Sergey I. Senashov ; Alexander Yakhno

KZ characteristic variety as the zero set of classical Calogero–Moser Hamiltonians
Evgeny Mukhin ; Vitaly Tarasov ; Alexander Varchenko

Application of the $B$-determining equations method to one problem of free turbulence
Oleg V. Kaptsov ; Alexey V. Schmidt

Ladder operators for Lamé spheroconal harmonic polynomials
Ricardo Méndez-Fragoso ; Eugenio Ley-Koo

Sylvester versus Gundelfinger
Andries E. Brouwer ; Mihaela Popoviciu

Recursion operators and Frobenius manifolds
Franco Magri

Definite integrals using orthogonality and integral transforms
Howard S. Cohl ; Hans Volkmer

Frobenius 3-folds via singular flat 3-webs
Sergey I. Agafonov

Rational Calogero–Moser model: explicit form and $r$-matrix of the second Poisson structure
Jean Avan ; Eric Ragoucy

Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen–Morse II and Eckart potentials
Christiane Quesne

Entanglement properties of a higher-integer-spin AKLT model with quantum group symmetry
Chikashi Arita ; Kohei Motegi

Solutions of the Dirac equation in a magnetic field and intertwining operators
Alonso Contreras-Astorga ; David J. Fernández C. ; Javier Negro

`Magic' configurations of three-qubit observables and geometric hyperplanes of the smallest split Cayley hexagon
Metod Saniga ; Michel Planat ; Petr Pracna ; Péter Lévay

Quasi-Grammian Solutions of the Generalized Coupled Dispersionless Integrable System
Bushra Haider ; Mahmood-ul Hassan

Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
Ryu Sasaki ; Kouchi Takemura

On Affine Fusion and the Phase Model
Mark A. Walton

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

Nekrasov's Partition Function and Refined Donaldson–Thomas Theory: the Rank One Case
Balázs Szendrői

Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables
Philip Broadbridge ; Claudia M. Chanu ; Willard Miller Jr.

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

Covariant Fields of $C^*$-Algebras under Rieffel Deformation
Fabian Belmonte ; Marius Măntoiu

Orthogonal Basic Hypergeometric Laurent Polynomials
Mourad E. H. Ismail ; Dennis Stanton

Coherent States for Tremblay–Turbiner–Winternitz Potential
Yusuf Sucu ; Nuri Unal

Minkowski Polynomials and Mutations
Mohammad Akhtar ; Tom Coates ; Sergey Galkin ; Alexander M. Kasprzyk

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

Time-Frequency Integrals and the Stationary Phase Method in Problems of Waves Propagation from Moving Sources
Gennadiy Burlak ; Vladimir Rabinovich

Construction of a Lax Pair for the $E_6^{(1)}$ $q$-Painlevé System
Nicholas S. Witte ; Christopher M. Ormerod

Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
Florian Girelli ; Franz Hinterleitner ; Seth A. Major

On the Number of Real Roots of the Yablonskii–Vorob'ev Polynomials
Pieter Roffelsen

Geometry of Spectral Curves and All Order Dispersive Integrable System
Gaëtan Borot ; Bertrand Eynard

Renormalization Method and Mirror Symmetry
Si Li

Old and New Reductions of Dispersionless Toda Hierarchy
Kanehisa Takasaki

Whitham's Method and Dubrovin–Novikov Bracket in Single-Phase and Multiphase Cases
Andrei Ya. Maltsev

Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras
Tomoki Nakanishi

Separation of Variables and Contractions on Two-Dimensional Hyperboloid
Ernie Kalnins ; George S. Pogosyan ; Alexander Yakhno

Nonlocal Symmetries, Telescopic Vector Fields and $\lambda$-Symmetries of Ordinary Differential Equations
Concepción Muriel ; Juan Luis Romero
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