Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Volume 12, 2016

On Asymptotic Regimes of Orthogonal Polynomials with Complex Varying Quartic Exponential Weight
Marco Bertola and Alexander Tovbis
SIGMA 12 (2016), 118, 50 pages   [ abs   pdf ]
Orthogonal Separation of the Hamilton-Jacobi Equation on Spaces of Constant Curvature
Krishan Rajaratnam, Raymond G. McLenaghan and Carlos Valero
SIGMA 12 (2016), 117, 30 pages   [ abs   pdf ]
The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
Theo Johnson-Freyd
SIGMA 12 (2016), 116,  6 pages   [ abs   pdf ]
Un-Reduction of Systems of Second-Order Ordinary Differential Equations
Eduardo García-Toraño Andrés and Tom Mestdag
SIGMA 12 (2016), 115, 20 pages   [ abs   pdf ]
Cartan Connections on Lie Groupoids and their Integrability
Anthony D. Blaom
SIGMA 12 (2016), 114, 26 pages   [ abs   pdf ]
On Free Field Realizations of $W(2,2)$-Modules
Dražen Adamović and Gordan Radobolja
SIGMA 12 (2016), 113, 13 pages   [ abs   pdf ]
Integrability of Nonholonomic Heisenberg Type Systems
Yury A. Grigoryev, Alexey P. Sozonov and Andrey V. Tsiganov
SIGMA 12 (2016), 112, 14 pages   [ abs   pdf ]
Hypergroups Related to a Pair of Compact Hypergroups
Herbert Heyer, Satoshi Kawakami, Tatsuya Tsurii and Satoe Yamanaka
SIGMA 12 (2016), 111, 17 pages   [ abs   pdf ]
Commutation Relations and Discrete Garnier Systems
Christopher M. Ormerod and Eric M. Rains
SIGMA 12 (2016), 110, 50 pages   [ abs   pdf ]
Smoothed Analysis for the Conjugate Gradient Algorithm
Govind Menon and Thomas Trogdon
SIGMA 12 (2016), 109, 22 pages   [ abs   pdf ]
From Conformal Group to Symmetries of Hypergeometric Type Equations
Jan Dereziński and Przemysław Majewski
SIGMA 12 (2016), 108, 69 pages   [ abs   pdf ]
Geometry of $G$-Structures via the Intrinsic Torsion
Kamil Niedziałomski
SIGMA 12 (2016), 107, 14 pages   [ abs   pdf ]
Polarisation of Graded Bundles
Andrew James Bruce, Janusz Grabowski and Mikołaj Rotkiewicz
SIGMA 12 (2016), 106, 30 pages   [ abs   pdf ]
On the Tracy-Widom$_\beta$ Distribution for $\beta=6$
Tamara Grava, Alexander Its, Andrei Kapaev and Francesco Mezzadri
SIGMA 12 (2016), 105, 26 pages   [ abs   pdf ]
Continuous Choreographies as Limiting Solutions of $N$-body Type Problems with Weak Interaction
Reynaldo Castaneira, Pablo Padilla and Héctor Sánchez-Morgado
SIGMA 12 (2016), 104,  9 pages   [ abs   pdf ]
Strictly Positive Definite Kernels on a Product of Spheres II
Jean C. Guella, Valdir A. Menegatto and Ana P. Peron
SIGMA 12 (2016), 103, 15 pages   [ abs   pdf ]
Moments Match between the KPZ Equation and the Airy Point Process
Alexei Borodin and Vadim Gorin
SIGMA 12 (2016), 102,  7 pages   [ abs   pdf ]
Uniform Asymptotic Expansion for the Incomplete Beta Function
Gergő Nemes and Adri B. Olde Daalhuis
SIGMA 12 (2016), 101,  5 pages   [ abs   pdf ]
Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories
Yoh Tanimoto
SIGMA 12 (2016), 100, 39 pages   [ abs   pdf ]
Multiple Actions of the Monodromy Matrix in $\mathfrak{gl}(2|1)$-Invariant Integrable Models
Arthur Hutsalyuk, Andrii Liashyk, Stanislav Z. Pakuliak, Eric Ragoucy and Nikita A. Slavnov
SIGMA 12 (2016), 099, 22 pages   [ abs   pdf ]
Variational Tricomplex, Global Symmetries and Conservation Laws of Gauge Systems
Alexey A. Sharapov
SIGMA 12 (2016), 098, 24 pages   [ abs   pdf ]
Fixed Point Algebras for Easy Quantum Groups
Olivier Gabriel and Moritz Weber
SIGMA 12 (2016), 097, 21 pages   [ abs   pdf ]
On Harmonic Analysis Operators in Laguerre-Dunkl and Laguerre-Symmetrized Settings
Adam Nowak, Krzysztof Stempak and Tomasz Z. Szarek
SIGMA 12 (2016), 096, 39 pages   [ abs   pdf ]
A Riemann-Hilbert Approach for the Novikov Equation
Anne Boutet de Monvel, Dmitry Shepelsky and Lech Zielinski
SIGMA 12 (2016), 095, 22 pages   [ abs   pdf ]
Invitation to Random Tensors
Razvan Gurau
SIGMA 12 (2016), 094, 12 pages   [ abs   pdf ]
Precise Deviations Results for the Maxima of Some Determinantal Point Processes: the Upper Tail
Peter Eichelsbacher, Thomas Kriecherbauer and Katharina Schüler
SIGMA 12 (2016), 093, 18 pages   [ abs   pdf ]
Further Properties and Applications of Koszul Pairs
Adrian Manea and Dragoş Ştefan
SIGMA 12 (2016), 092, 24 pages   [ abs   pdf ]
Recursion Operators and Tri-Hamiltonian Structure of the First Heavenly Equation of Plebański
Mikhail B. Sheftel and Devrim Yazıcı
SIGMA 12 (2016), 091, 17 pages   [ abs   pdf ]
Multivariate Orthogonal Polynomials and Modified Moment Functionals
Antonia M. Delgado, Lidia Fernández, Teresa E. Pérez and Miguel A. Piñar
SIGMA 12 (2016), 090, 25 pages   [ abs   pdf ]
The Index of Dirac Operators on Incomplete Edge Spaces
Pierre Albin and Jesse Gell-Redman
SIGMA 12 (2016), 089, 45 pages   [ abs   pdf ]
A Duflo Star Product for Poisson Groups
Adrien Brochier
SIGMA 12 (2016), 088, 12 pages   [ abs   pdf ]
Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart
Sandra Carillo, Mauro Lo Schiavo and Cornelia Schiebold
SIGMA 12 (2016), 087, 17 pages   [ abs   pdf ]
On Jacobi Inversion Formulae for Telescopic Curves
Takanori Ayano
SIGMA 12 (2016), 086, 21 pages   [ abs   pdf ]
Constructive Tensor Field Theory
Vincent Rivasseau
SIGMA 12 (2016), 085, 31 pages   [ abs   pdf ]
Bruhat Order in the Full Symmetric $\mathfrak{sl}_n$ Toda Lattice on Partial Flag Space
Yury B. Chernyakov, Georgy I. Sharygin and Alexander S. Sorin
SIGMA 12 (2016), 084, 25 pages   [ abs   pdf ]
On the Scaling Limits of Determinantal Point Processes with Kernels Induced by Sturm-Liouville Operators
Folkmar Bornemann
SIGMA 12 (2016), 083, 20 pages   [ abs   pdf ]
Quantum Cosmology from Group Field Theory Condensates: a Review
Steffen Gielen and Lorenzo Sindoni
SIGMA 12 (2016), 082, 49 pages   [ abs   pdf ]
Born-Jordan and Weyl Quantizations of the 2D Anisotropic Harmonic Oscillator
Giovanni Rastelli
SIGMA 12 (2016), 081,  7 pages   [ abs   pdf ]
Möbius Invariants of Shapes and Images
Stephen Marsland and Robert I. McLachlan
SIGMA 12 (2016), 080, 29 pages   [ abs   pdf ]
A Hypergeometric Integral with Applications to the Fundamental Solution of Laplace's Equation on Hyperspheres
Richard Chapling
SIGMA 12 (2016), 079, 20 pages   [ abs   pdf ]
An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles
Doron S. Lubinsky
SIGMA 12 (2016), 078, 36 pages   [ abs   pdf ]
Solvable Structures Associated to the Nonsolvable Symmetry Algebra $\mathfrak{sl}(2,\mathbb{R})$
Adrián Ruiz and Concepción Muriel
SIGMA 12 (2016), 077, 18 pages   [ abs   pdf ]
$(D+1)$-Colored Graphs - a Review of Sundry Properties
James P. Ryan
SIGMA 12 (2016), 076, 27 pages   [ abs   pdf ]
Orthogonal Polynomials Associated with Complementary Chain Sequences
Kiran Kumar Behera, A. Sri Ranga and A. Swaminathan
SIGMA 12 (2016), 075, 17 pages   [ abs   pdf ]
On Time Correlations for KPZ Growth in One Dimension
Patrik L. Ferrari and Herbert Spohn
SIGMA 12 (2016), 074, 23 pages   [ abs   pdf ]
Large $N$ Limits in Tensor Models: Towards More Universality Classes of Colored Triangulations in Dimension $d\geq 2$
Valentin Bonzom
SIGMA 12 (2016), 073, 39 pages   [ abs   pdf ]
Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve
Thomas John Baird
SIGMA 12 (2016), 072, 18 pages   [ abs   pdf ]
Report from the Open Problems Session at OPSFA13
Edited by Howard S. Cohl
SIGMA 12 (2016), 071, 12 pages   [ abs   pdf ]
Flowing in Group Field Theory Space: a Review
Sylvain Carrozza
SIGMA 12 (2016), 070, 30 pages   [ abs   pdf ]
Random Tensors and Quantum Gravity
Vincent Rivasseau
SIGMA 12 (2016), 069, 17 pages   [ abs   pdf ]
Exact Renormalisation Group Equations and Loop Equations for Tensor Models
Thomas Krajewski and Reiko Toriumi
SIGMA 12 (2016), 068, 36 pages   [ abs   pdf ]
Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients
Salvatore Stella and Pavel Tumarkin
SIGMA 12 (2016), 067,  9 pages   [ abs   pdf ]
Periodic GMP Matrices
Benjamin Eichinger
SIGMA 12 (2016), 066, 19 pages   [ abs   pdf ]
A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles
Arno B.J. Kuijlaars
SIGMA 12 (2016), 065, 15 pages   [ abs   pdf ]
Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball
Stefan Berceanu
SIGMA 12 (2016), 064, 28 pages   [ abs   pdf ]
Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature
Giovanni Calvaruso and Amirhesam Zaeim
SIGMA 12 (2016), 063, 12 pages   [ abs   pdf ]
Skew-Zigzag Algebras
Chad Couture
SIGMA 12 (2016), 062, 19 pages   [ abs   pdf ]
Geometric Monodromy around the Tropical Limit
Yuto Yamamoto
SIGMA 12 (2016), 061, 23 pages   [ abs   pdf ]
Modular Form Representation for Periods of Hyperelliptic Integrals
Keno Eilers
SIGMA 12 (2016), 060, 13 pages   [ abs   pdf ]
Noncommutative Differential Geometry of Generalized Weyl Algebras
Tomasz Brzeziński
SIGMA 12 (2016), 059, 18 pages   [ abs   pdf ]
Reflection Positive Stochastic Processes Indexed by Lie Groups
Palle E.T. Jorgensen, Karl-Hermann Neeb and Gestur Ólafsson
SIGMA 12 (2016), 058, 49 pages   [ abs   pdf ]
Singular Instantons and Painlevé VI
Richard Muñiz Manasliski
SIGMA 12 (2016), 057, 11 pages   [ abs   pdf ]
The Multi-Orientable Random Tensor Model, a Review
Adrian Tanasa
SIGMA 12 (2016), 056, 23 pages   [ abs   pdf ]
A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank
Yuchen Fu and Seth Shelley-Abrahamson
SIGMA 12 (2016), 055, 11 pages   [ abs   pdf ]
Multidimensional Toda Lattices: Continuous and Discrete Time
Alexander I. Aptekarev, Maxim Derevyagin, Hiroshi Miki and Walter Van Assche
SIGMA 12 (2016), 054, 30 pages   [ abs   pdf ]
Universal Lie Formulas for Higher Antibrackets
Marco Manetti and Giulia Ricciardi
SIGMA 12 (2016), 053, 20 pages   [ abs   pdf ]
Hypergeometric Differential Equation and New Identities for the Coefficients of Nørlund and Bühring
Dmitrii Karp and Elena Prilepkina
SIGMA 12 (2016), 052, 23 pages   [ abs   pdf ]
Hypergeometric $\tau$ Functions of the $q$-Painlevé Systems of Types $A_4^{(1)}$ and $(A_1+A_1')^{(1)}$
Nobutaka Nakazono
SIGMA 12 (2016), 051, 23 pages   [ abs   pdf ]
Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials
Emil Horozov
SIGMA 12 (2016), 050, 14 pages   [ abs   pdf ]
Shell Polynomials and Dual Birth-Death Processes
Erik A. van Doorn
SIGMA 12 (2016), 049, 15 pages   [ abs   pdf ]
Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases
Luc Vinet and Alexei Zhedanov
SIGMA 12 (2016), 048, 14 pages   [ abs   pdf ]
Nonstandard Deformed Oscillators from $q$- and $p,q$-Deformations of Heisenberg Algebra
Alexandre M. Gavrilik and Ivan I. Kachurik
SIGMA 12 (2016), 047, 12 pages   [ abs   pdf ]
The Asymptotic Expansion of Kummer Functions for Large Values of the $a$-Parameter, and Remarks on a Paper by Olver
Hans Volkmer
SIGMA 12 (2016), 046, 22 pages   [ abs   pdf ]
Variational Sequences, Representation Sequences and Applications in Physics
Marcella Palese, Olga Rossi, Ekkehart Winterroth and Jana Musilová
SIGMA 12 (2016), 045, 45 pages   [ abs   pdf ]
Polynomial Sequences Associated with the Moments of Hypergeometric Weights
Diego Dominici
SIGMA 12 (2016), 044, 18 pages   [ abs   pdf ]
One-Step Recurrences for Stationary Random Fields on the Sphere
R.K. Beatson and W. zu Castell
SIGMA 12 (2016), 043, 19 pages   [ abs   pdf ]
Zeros of Quasi-Orthogonal Jacobi Polynomials
Kathy Driver and Kerstin Jordaan
SIGMA 12 (2016), 042, 13 pages   [ abs   pdf ]
Are Orthogonal Separable Coordinates Really Classified?
Konrad Schöbel
SIGMA 12 (2016), 041, 16 pages   [ abs   pdf ]
Toda Equations and Piecewise Polynomiality for Mixed Double Hurwitz Numbers
I.P. Goulden, Mathieu Guay-Paquet and Jonathan Novak
SIGMA 12 (2016), 040, 10 pages   [ abs   pdf ]
Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
Michael J. Schlosser and Meesue Yoo
SIGMA 12 (2016), 039, 21 pages   [ abs   pdf ]
Bôcher Contractions of Conformally Superintegrable Laplace Equations
Ernest G. Kalnins, Willard Miller Jr. and Eyal Subag
SIGMA 12 (2016), 038, 31 pages   [ abs   pdf ]
The Transition Probability of the $q$-TAZRP ($q$-Bosons) with Inhomogeneous Jump Rates
Dong Wang and David Waugh
SIGMA 12 (2016), 037, 16 pages   [ abs   pdf ]
The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions
Sorin V. Sabau
SIGMA 12 (2016), 036, 12 pages   [ abs   pdf ]
Generalized Stieltjes Transforms of Compactly-Supported Probability Distributions: Further Examples
Nizar Demni
SIGMA 12 (2016), 035, 13 pages   [ abs   pdf ]
Notes on Schubert, Grothendieck and Key Polynomials
Anatol N. Kirillov
SIGMA 12 (2016), 034, 57 pages   [ abs   pdf ]
Orthogonality Measure on the Torus for Vector-Valued Jack Polynomials
Charles F. Dunkl
SIGMA 12 (2016), 033, 27 pages   [ abs   pdf ]
Meta-Symplectic Geometry of $3^{\rm rd}$ Order Monge-Ampère Equations and their Characteristics
Gianni Manno and Giovanni Moreno
SIGMA 12 (2016), 032, 35 pages   [ abs   pdf ]
Random Matrices with Merging Singularities and the Painlevé V Equation
Tom Claeys and Benjamin Fahs
SIGMA 12 (2016), 031, 44 pages   [ abs   pdf ]
Polynomial Invariants for Arbitrary Rank $D$ Weakly-Colored Stranded Graphs
Remi Cocou Avohou
SIGMA 12 (2016), 030, 23 pages   [ abs   pdf ]
Flat $(2,3,5)$-Distributions and Chazy's Equations
Matthew Randall
SIGMA 12 (2016), 029, 28 pages   [ abs   pdf ]
From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation
Dmitry Chicherin, Sergey E. Derkachov and Vyacheslav P. Spiridonov
SIGMA 12 (2016), 028, 34 pages   [ abs   pdf ]
A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System
Tamás F. Görbe
SIGMA 12 (2016), 027,  5 pages   [ abs   pdf ]
Basic Forms and Orbit Spaces: a Diffeological Approach
Yael Karshon and Jordan Watts
SIGMA 12 (2016), 026, 19 pages   [ abs   pdf ]
Loops in SU(2), Riemann Surfaces, and Factorization, I
Estelle Basor and Doug Pickrell
SIGMA 12 (2016), 025, 29 pages   [ abs   pdf ]
Nijenhuis Integrability for Killing Tensors
Konrad Schöbel
SIGMA 12 (2016), 024,  4 pages   [ abs   pdf ]
Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems
Giorgio Tondo and Piergiulio Tempesta
SIGMA 12 (2016), 023, 18 pages   [ abs   pdf ]
Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities
Błażej M. Szablikowski
SIGMA 12 (2016), 022, 14 pages   [ abs   pdf ]
Classes of Bivariate Orthogonal Polynomials
Mourad E.H. Ismail and Ruiming Zhang
SIGMA 12 (2016), 021, 37 pages   [ abs   pdf ]
Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations
Clotilde Martínez and Miguel A. Piñar
SIGMA 12 (2016), 020, 11 pages   [ abs   pdf ]
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
Hayato Chiba
SIGMA 12 (2016), 019, 22 pages   [ abs   pdf ]
A Geometric Characterization of Certain First Integrals for Nonholonomic Systems with Symmetries
Paula Balseiro and Nicola Sansonetto
SIGMA 12 (2016), 018, 14 pages   [ abs   pdf ]
Rigid HYM Connections on Tautological Bundles over ALE Crepant Resolutions in Dimension Three
Anda Degeratu and Thomas Walpuski
SIGMA 12 (2016), 017, 23 pages   [ abs   pdf ]
On the Chern-Gauss-Bonnet Theorem and Conformally Twisted Spectral Triples for $C^*$-Dynamical Systems
Farzad Fathizadeh and Olivier Gabriel
SIGMA 12 (2016), 016, 21 pages   [ abs   pdf ]
Non-Associative Geometry of Quantum Tori
Francesco D'Andrea and Davide Franco
SIGMA 12 (2016), 015, 14 pages   [ abs   pdf ]
Hom-Big Brackets: Theory and Applications
Liqiang Cai and Yunhe Sheng
SIGMA 12 (2016), 014, 18 pages   [ abs   pdf ]
Separability in Riemannian Manifolds
Sergio Benenti
SIGMA 12 (2016), 013, 21 pages   [ abs   pdf ]
The Hojman Construction and Hamiltonization of Nonholonomic Systems
Ivan A. Bizyaev, Alexey V. Borisov and Ivan S. Mamaev
SIGMA 12 (2016), 012, 19 pages   [ abs   pdf ]
Quantum Curve and the First Painlevé Equation
Kohei Iwaki and Axel Saenz
SIGMA 12 (2016), 011, 24 pages   [ abs   pdf ]
Quasi-Bi-Hamiltonian Structures of the 2-Dimensional Kepler Problem
Jose F. Cariñena and Manuel F. Rañada
SIGMA 12 (2016), 010, 16 pages   [ abs   pdf ]
Bipolar Lawson Tau-Surfaces and Generalized Lawson Tau-Surfaces
Broderick Causley
SIGMA 12 (2016), 009, 11 pages   [ abs   pdf ]
Orthogonal vs. Non-Orthogonal Reducibility of Matrix-Valued Measures
Erik Koelink and Pablo Román
SIGMA 12 (2016), 008,  9 pages   [ abs   pdf ]
Automorphisms of ${\mathbb C}^*$ Moduli Spaces Associated to a Riemann Surface
David Baraglia, Indranil Biswas and Laura P. Schaposnik
SIGMA 12 (2016), 007, 14 pages   [ abs   pdf ]
Extended Cosmologies
Salvatore Capozziello, Mariafelicia F. De Laurentis, Lorenzo Fatibene, Marco Ferraris and Simon Garruto
SIGMA 12 (2016), 006, 16 pages   [ abs   pdf ]
Weighted Tensor Products of Joyal Species, Graphs, and Charades
Ross Street
SIGMA 12 (2016), 005, 20 pages   [ abs   pdf ]
Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories
Tao Cheng, Hua-Lin Huang and Yuping Yang
SIGMA 12 (2016), 004, 11 pages   [ abs   pdf ]
Doubling (Dual) Hahn Polynomials: Classification and Applications
Roy Oste and Joris Van der Jeugt
SIGMA 12 (2016), 003, 27 pages   [ abs   pdf ]
On Some Quadratic Algebras I $\frac{1}{2}$: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss-Catalan, Universal Tutte and Reduced Polynomials
Anatol N. Kirillov
SIGMA 12 (2016), 002, 172 pages   [ abs   pdf ]
Initial Value Problems for Integrable Systems on a Semi-Strip
Alexander L. Sakhnovich
SIGMA 12 (2016), 001, 17 pages   [ abs   pdf ]

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