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- University of Maryland, College ParkUS49 papers
- California Institute of TechnologyUS41 papers
- Rutherford Appleton LaboratoryGB40 papers
- Stanford UniversityUS37 papers
- Massachusetts Institute of TechnologyUS35 papers
- The University of Texas at AustinUS34 papers
- University of BirminghamGB34 papers
- University of Massachusetts AmherstUS30 papers
- Heidelberg UniversityDE29 papers
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13 papers · 1 filter
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^…