Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR2k papers
- University of British ColumbiaCA1.9k papers
- McGill UniversityCA1.9k papers
- University of VictoriaCA1.8k papers
- University of California, Santa CruzUS1.7k papers
- Rutherford Appleton LaboratoryGB1.7k papers
- University of ManchesterGB1.7k papers
- Queen Mary University of LondonGB1.7k papers
- University of PisaIT1.6k papers
- University of EdinburghGB1.6k papers
- University of BirminghamGB1.6k papers
- Heidelberg UniversityDE1.6k papers
21 papers · 2 filters
The Racah algebra and superintegrable models
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
The universal character of the Racah algebra will be illustrated by showing that it is at the center of the relations between the Racah polynomials, the recoupling of three su(1,1)…
Superintegrable systems with spin induced by coalgebra symmetry
D. Riglioni, O. Gingras, P. Winternitz
A method for deriving superintegrable Hamiltonians with a spin orbital interaction is presented. The method is applied to obtain a new superintegrable system in Euclidean space $\m…
The Dunkl oscillator in three dimensions
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
The isotropic Dunkl oscillator model in three-dimensional Euclidean space is considered. The system is shown to be maximally superintegrable and its symmetries are obtained by the…
A maximally superintegrable deformation of the N-dimensional quantum Kepler-Coulomb system
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
The -dimensional quantum Hamiltonian is shown to be exa…
The multivariate Meixner polynomials as matrix elements of representations on oscillator states
Vincent X. Genest, Hiroshi Miki, Luc Vinet +1
The multivariate Meixner polynomials are shown to arise as matrix elements of unitary representations of the group on oscillator states. These polynomials depend on d…
Solutions of first-order quasilinear systems expressed in Riemann invariants
Alfred Michel Grundland, Vincent Lamothe
We present a new technique for constructing solutions of quasilinear systems of first-order partial differential equations, in particular inhomogeneous ones. A generalization of th…
The principal indecomposable modules of the dilute Temperley-Lieb algebra
Jonathan Belletête, Yvan Saint-Aubin
The Temperley-Lieb algebra \tln(β) can be defined as the set of rectangular diagrams with n points on each of their vertical sides, with all points joined pairwise by non-intersect…
Classical and Quantum Superintegrability with Applications
Willard Miller, Sarah Post, Pavel Winternitz
A superintegrable system is, roughly speaking, a system that allows more integrals of motion than degrees of freedom. This review is devoted to finite dimensional classical and qua…
The transition probability and the probability for the left-most particle's position of the q-TAZRP
Marko Korhonen, Eunghyun Lee
We treat the -particle ZRP whose jumping rates satisfy a certain condition. This condition is required to use the Bethe ansatz and the resulting model is the -boson model tha…
The equitable Racah algebra from three su(1,1) algebras
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
The Racah algebra, a quadratic algebra with two independent generators, is central in the analysis of superintegrable models and encodes the properties of the Racah polynomials. It…
Four families of Weyl group orbit functions of B_3 and C_3
Lenka Háková, Jiří Hrivnák, Jiří Patera
The properties of the four families of special functions of three real variables, called here C-, S-, S^s- and S^l-functions, are studied. The S^s- and S^l-functions are considered…
Superintegrability in two dimensions and the Racah-Wilson algebra
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
The analysis of the most general second-order superintegrable system in two dimensions: the generic 3-parameter model on the 2-sphere, is cast in the framework of the Racah problem…
Interbasis expansions for the isotropic 3D harmonic oscillator and bivariate Krawtchouk polynomials
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
An explicit expression for the general bivariate Krawtchouk polynomials is obtained in terms of the standard Krawtchouk and dual Hahn polynomials. The bivariate Krawtchouk polynomi…
The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
An algebraic interpretation of the bivariate Krawtchouk polynomials is provided in the framework of the 3-dimensional isotropic harmonic oscillator model. These polynomials in two…
Symmetric polynomials, generalized Jacobi-Trudi identities and τ-functions
J. Harnad, Eunghyun Lee
An element [Φ] of the Grassmannian of n-dimensional subspaces of the Hardy space H^2, extended over the field C(x_1,..., x_n), may be associated to any polynomial basis ϕ for C(x).…
The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation
M. Bertola, M. Cafasso
We express the gap probabilities of the tacnode process as the ratio of two Fredholm determinants; the denominator is the standard Tracy-Widom distribution, while the numerator is…
The Dunkl oscillator in the plane II : representations of the symmetry algebra
Vincent X. Genest, Mourad E. H. Ismail, Luc Vinet +1
The superintegrability, wavefunctions and overlap coefficients of the Dunkl oscillator model in the plane were considered in the first part. Here finite-dimensional representations…
Soliton surfaces and generalized symmetries of integrable systems
A. M. Grundland, S. Post, D. Riglioni
In this paper, we discuss some specific features of symmetries of integrable systems which can be used to contruct the Fokas-Gel'fand formula for the immersion of 2D-soliton surfac…
Jordan cells of periodic loop models
Alexi Morin-Duchesne, Yvan Saint-Aubin
Jordan cells in transfer matrices of finite lattice models are a signature of the logarithmic character of the conformal field theories that appear in their thermodynamical limit.…
On Harmonic Measure of the Whole Plane Levy-Loewner Evolution
Igor Loutsenko, Oksana Yermolayeva
Levy-Loewner evolution (LLE) is a generalization of the Schramm-Loewner evolution (SLE) where the branching is possible in a course of growth process. We consider a class of radial…
Entropic Functionals in Quantum Statistical Mechanics
V. Jaksic, C. -A. Pillet
We describe quantum entropic functionals and outline a research program dealing with entropic fluctuations in non-equilibrium quantum statistical mechanics.