Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum

Weak convergence of CD kernels and applications

(2009) Barry Simon   DUKE MATHEMATICAL JOURNAL

Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling

(2008) Artur Avila et al.   INVENTIONES MATHEMATICAE

Universality limits in the bulk for arbitrary measures on compact sets

(2008) D. S. Lubinsky   JOURNAL D ANALYSE MATHEMATIQUE

Two extensions of Lubinsky’s universality theorem

(2008) Barry Simon   JOURNAL D ANALYSE MATHEMATIQUE

Fine structure of the zeros of orthogonal polynomials IV: A priori bounds and clock behavior

(2007) Yoram Last et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials

(2007) Eli Levin et al.   JOURNAL OF APPROXIMATION THEORY