219 citations
- East China Normal UniversityCN3 papers
- Ritsumeikan UniversityJP3 papers
- California Institute of TechnologyUS2 papers
- Académie de ParisFR1 paper
- California Polytechnic State UniversityUS1 paper
- ETH ZurichCH1 paper
- Griffith UniversityAU1 paper
- Hokkaido UniversityJP1 paper
- Indian Statistical InstituteIN1 paper
- Los Alamos National LaboratoryUS1 paper
- Louisiana State UniversityUS1 paper
- National University of SingaporeSG1 paper
27 papers
Dual canonical bases and Kazhdan-Lusztig polynomials
Jonathan Brundan
We derive a formula for the entries of the (unitriangular) transition matrices between the standard monomial and dual canonical bases of the irreducible polynomial representations…
Feedback cooling of atomic motion in cavity QED
Daniel A. Steck, Kurt Jacobs, Hideo Mabuchi +2
We consider the problem of controlling the motion of an atom trapped in an optical cavity using continuous feedback. In order to realize such a scheme experimentally, one must be a…
Localized polynomial frames on the interval with Jacobi weights
Pencho Petrushev, Yuan Xu
As is well known the kernel of the orthogonal projector onto the polynomials of degree in $L^2(w_{\a,\b}, [-1, 1])$ with $w_{\a,\b}(t) = (1-t)^\a(1+t)^\b$ can be written in ter…
A family of Sobolev Orthogonal Polynomials on the Unit Ball
Yuan Xu
A family of orthonormal polynomials on the unit ball of $\RR^d$ with respect to the inner product where $Δ…
Manifolds with commuting Jacobi operators
M. Brozos-Vazquez, P. Gilkey
We characterize Riemannian manifolds of constant sectional curvature in terms of commutation properties of their Jacobi operators.
Derivations of an effective divisor on the complex projective line
Max Wakefield, Sergey Yuzvinsky
In this paper we consider an effective divisor on the complex projective line and associate with it the module D consisting of all the derivations such that $θ(I_i)\subset I_i^…