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
17 papers · 2 filters
Superintegrability with third order integrals of motion, cubic algebras and supersymmetric quantum mechanics II:Painleve transcendent potentials
Ian Marquette
We consider a superintegrable quantum potential in two-dimensional Euclidean space with a second and a third order integral of motion. The potential is written in terms of the four…
Superharmonic Perturbations of a Gaussian Measure, Equilibrium Measures and Orthogonal Polynomials
F. Balogh, J. Harnad
This work concerns superharmonic perturbations of a Gaussian measure given by a special class of positive weights in the complex plane of the form , w…
Elliptic solutions of isentropic ideal compressible fluid flow in (3+1) dimensions
R. Conte, A. M. Grundland, B. Huard
A modified version of the conditional symmetry method, together with the classical method, is used to obtain new classes of elliptic solutions of the isentropic ideal compressible…
Counting open nodal lines of random waves on planar domains
John A. Toth, Igor Wigman
We compute the asymptotic expectation of the number of {\em open} nodal lines for random waves on smooth planar domains. We find that for both the long energy window and th…
Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry
Bertrand Eynard, Olivier Marchal
In this article, we define a non-commutative deformation of the "symplectic invariants" of an algebraic hyperelliptical plane curve. The necessary condition for our definition to m…
N=2 supersymmetric extension of a hydrodynamic system in Riemann invariants
A. M. Grundland, A. J. Hariton
In this paper, we formulate an N=2 supersymmetric extension of a hydrodynamic-type system involving Riemann invariants. The supersymmetric version is constructed by means of a supe…
All solvable extensions of a class of nilpotent Lie algebras of dimension n and degree of nilpotency n-1
Libor Snobl, Pavel Winternitz
We construct all solvable Lie algebras with a specific n-dimensional nilradical n_(n,2) (of degree of nilpotency (n-1) and with an (n-2)-dimensional maximal Abelian ideal). We find…
Computing with almost periodic functions
R. V. Moody, M. Nesterenko, J. Patera
The paper develops a method for discrete computational Fourier analysis of functions defined on quasicrystals and other almost periodic sets. A key point is to build the analysis a…
Superintegrability with third order integrals of motion, cubic algebras and supersymmetric quantum mechanics I:Rational function potentials
Ian Marquette
We consider a superintegrable Hamiltonian system in a two-dimensional space with a scalar potential that allows one quadratic and one cubic integral of motion. We construct the mos…
Reduction of superintegrable systems: the anisotropic harmonic oscillator
Miguel A. Rodriguez, Piergiulio Tempesta, Pavel Winternitz
We introduce a new 2N--parametric family of maximally superintegrable systems in N dimensions, obtained as a reduction of an anisotropic harmonic oscillator in a 2N--dimensional co…
Three dimensional C-, S- and E-transforms
M. Nesterenko, J. Patera
Three dimensional continuous and discrete Fourier-like transforms, based on the three simple and four semisimple compact Lie groups of rank 3, are presented. For each simple Lie gr…
On the distribution of the nodal sets of random spherical harmonics
Igor Wigman
We study the length of the nodal set of eigenfunctions of the Laplacian on the $\spheredim$-dimensional sphere. It is well known that the eigenspaces corresponding to $\eigval=n(n+…
Topological expansion of the chain of matrices
Bertrand Eynard, Aleix Prats Ferrer
We solve the loop equations to all orders in , for the Chain of Matrices matrix model (with possibly an external field coupled to the last matrix of the chain). We show that…
The Cauchy two-matrix model
M. Bertola, M. Gekhtman, J. Szmigielski
We introduce a new class of two(multi)-matrix models of positive Hermitean matrices coupled in a chain; the coupling is related to the Cauchy kernel and differs from the exponentia…
First colonization of a hard-edge in random matrix theory
M. Bertola, S. Y. Lee
We describe the spectral statistics of the first finite number of eigenvalues in a newly-forming band on the hard-edge of the spectrum of a random Hermitean matrix model. It is fou…
Regularity of a vector potential problem and its spectral curve
F. Balogh, M. Bertola
In this note we study a minimization problem for a vector of measures subject to a prescribed interaction matrix in the presence of external potentials. The conductors are allowed…
Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions
A. M. Grundland, A. J. Hariton
In this paper, a supersymmetric extension of a system of hydrodynamic type equations involving Riemann invariants is formulated in terms of a superspace and superfield formalism. T…