Random matrix theory is a wide and growing field with a variety of concepts, results, and
techniques and a vast range of applications in mathematics and the related sciences. The …

Page 1 Page 2 Selected Titles in This Series http://dx.doi.org/10.1090/surv/072 72 71 70 69 68
67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 Gerald Teschl, Jacobi …

This is a comprehensive review of the uses of potential theory in studying the spectral theory
of orthogonal polynomials. Much of the article focuses on the Stahl-Totik theory of regular …

The Christoffel-Darboux kernel Page 314 http://dx. doi. org/10.1090/pspum/079/2500498
Proceedings of Symposia in Pure Mathematics Proceedings of Symposia in Pure …

For non-critical almost Mathieu operators with Diophantine frequency, we establish
exponential asymptotics on the size of spectral gaps, and show that the spectrum is …

I explore some consequences of a groundbreaking result of Breimesser and Pearson on the
absolutely continuous spectrum of one-dimensional Schrödinger operators. These include …

The results of Denisov-Rakhmanov, Szegő-Shohat-Nevai, and Killip-Simon are extended
from asymptotically constant orthogonal polynomials on the real line (OPRL) and unit circle …

We show that some spectral properties of the almost Mathieu operator with frequency well
approximated by rationals can be as poor as at all possible in the class of all one …

We study the Cauchy problem for the KdV equation∂ tu− 6 u∂ xu+∂ x 3 u= 0 with almost
periodic initial data u (x, 0)= V (x). We consider initial data V, for which the associated …

We consider Chebyshev polynomials, T_n (z) T n (z), for infinite, compact sets e ⊂ R e⊂ R
(that is, the monic polynomials minimizing the\sup sup-norm,|| T_n|| _ e|| T n|| e, on ee). We …