34 citations · 67 across the 3 of their papers we have counts for
3 papers
math.SG2005★ 6 cited
CMV: the unitary analogue of Jacobi matrices
R. Killip, I. Nenciu
We discuss a number of properties of CMV matrices, by which we mean the class of unitary matrices recently introduced by Cantero, Moral, and Velazquez. We argue that they play an e…
math-ph2004★ 27 cited
Lax pairs for the Ablowitz-Ladik system via orthogonal polynomials on the unit circle
Irina Nenciu
Nenciu and Simon found that the analogue of the Toda system in the context of orthogonal polynomials on the unit circle is the defocusing Ablowitz-Ladik system. In this paper we us…
math.SP2004★ 34 cited
Matrix models for circular ensembles
R. Killip, I. Nenciu
We describe an ensemble of (sparse) random matrices whose eigenvalues follow the Gibbs distribution for n particles of the Coulomb gas on the unit circle at inverse temperature bet…