34 citations · 40 across the 2 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.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…
math-ph2001
Sum Rules for Jacobi Matrices and Their Applications to Spectral Theory
Rowan Killip, Barry Simon
We discuss the proof of and systematic application of Case's sum rules for Jacobi matrices. Of special interest is a linear combination of two of his sum rules which has strictly p…