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
A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials
Vincent X. Genest, Hiroshi Miki, Luc Vinet +1
A simple discrete model of the two dimensional isotropic harmonic oscillator is presented. It is superintegrable with su(2) as its symmetry algebra. It is constructed with the help…
Ramifications of Hurwitz theory, KP integrability and quantum curves
A. Alexandrov, D. Lewanski, S. Shadrin
In this paper we revisit several recent results on monotone and strictly monotone Hurwitz numbers, providing new proofs. In particular, we use various versions of these numbers to…
Minimal surfaces in the soliton surface approach
A Doliwa, A M Grundland
The main objective of this paper is to derive the Enneper-Weierstrass representation of minimal surfaces in using the soliton surface approach. We exploit the Bryant…
Non-uniqueness results for the anisotropic Calderon problem with data measured on disjoint sets
Thierry Daudé, Niky Kamran, Francois Nicoleau
In this paper, we give some simple counterexamples to uniqueness for the Calderon problem on Riemannian manifolds with boundary when the Dirichlet and Neumann data are measured on…
Simple Lie algebras and topological ODEs
Marco Bertola, Boris Dubrovin, Di Yang
For a simple Lie algebra we define a system of linear ODEs with polynomial coefficients, which we call the topological equation of -type. The dimension o…
General solutions of the supersymmetric sigma model and its generalisation to
Laurent Delisle, Véronique Hussin, Wojtek J. Zakrzewski
A new approach for the construction of finite action solutions of the supersymmetric sigma model is presented. We show that this approach produces more non-holo…
Symmetry preserving discretization of ordinary differential equations. Large symmetry groups and higher order equations
Rutwig Campoamor-Stursberg, Miguel A. Rodríguez, Pavel Winternitz
Ordinary differential equations (ODEs) and ordinary difference systems (OSs) invariant under the actions of the Lie groups , and $\mathrm{SL…
Quantum spin chains with fractional revival
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
A systematic study of fractional revival at two sites in quantum spin chains is presented and analytic models with this phenomenon are exhibited. The generic models have two e…
Three-dimensional superintegrable systems in a static electromagnetic field
Antonella Marchesiello, Libor Snobl, Pavel Winternitz
We consider a charged particle moving in a static electromagnetic field described by the vector potential and the electrostatic potential . We study the…
Exact Fractional Revival in Spin Chains
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
The occurrence of fractional revival in quantum spin chains is examined. Analytic models where this phenomenon can be exhibited in exact solutions are provided. It is explained tha…
Generating functions for the osp(1|2) Clebsch-Gordan coefficients
Geoffroy Bergeron, Luc Vinet
Generating functions for Clebsch-Gordan coefficients of osp(1|2) are derived. These coefficients are expressed as q goes to - 1 limits of the dual q-Hahn polynomials. The generatin…
Fusion rules for the Temperley-Lieb algebra and its dilute generalisation
Jonathan Belletête
The Temperley-Lieb (TL) family of algebras is well known for its role in building integrable lattice models. Even though a proof is still missing, it is agreed that these models sh…
Supersymmetric versions of the equations of conformally parametrized surfaces
Sébastien Bertrand, Alfred Michel Grundland, Alexander Hariton
The objective of this paper is to formulate two distinct supersymmetric (SUSY) extensions of the Gauss-Weingarten and Gauss-Codazzi (GC) equations for conformally parametrized surf…
Multispecies Weighted Hurwitz Numbers
J. Harnad
The construction of hypergeometric Toda -functions as generating functions for weighted Hurwitz numbers is extended to multispecies families. Both the enumerative geometric…
Correlation functions of the KdV hierarchy and applications to intersection numbers over
Marco Bertola, Boris Dubrovin, Di Yang
We derive an explicit generating function of correlations functions of an arbitrary tau-function of the KdV hierarchy. In particular applications, our formulation gives closed form…
Quantum Hurwitz numbers and Macdonald polynomials
J. Harnad
Parametric families in the centre of the group algebra of the symmetric group are obtained by identifying the indeterminates in the generating function for…
Embeddings of the Racah Algebra into the Bannai-Ito Algebra
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
Embeddings of the Racah algebra into the Bannai-Ito algebra are proposed in two realizations. First, quadratic combinations of the Bannai-Ito algebra generators in their standard r…
On the reality of spectra of -invariant XXZ Hamiltonians
Alexi Morin-Duchesne, Jorgen Rasmussen, Philippe Ruelle +1
A new inner product is constructed on each standard module over the Temperley-Lieb algebra for and . On these modules, the Hamiltonian…
A superintegrable discrete oscillator and two-variable Meixner polynomials
Julien Gaboriaud, Vincent X. Genest, Jessica Lemieux +1
A superintegrable, discrete model of the quantum isotropic oscillator in two-dimensions is introduced. The system is defined on the regular, infinite-dimensional $\mathbb{N}\times…
On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces
Sébastien Bertrand, Alfred M. Grundland, Alexander J. Hariton
The paper presents the bosonic and fermionic supersymmetric extensions of the structural equations describing conformally parametrized surfaces immersed in a Grasmann superspace, b…
A Dirac-Dunkl equation on and the Bannai-Ito algebra
Hendrik De Bie, Vincent X. Genest, Luc Vinet
The Dirac-Dunkl operator on the 2-sphere associated to the reflection group is considered. Its symmetries are found and are shown to generate the Bannai-Ito algebr…