This is a review of the statistical properties of the scattering matrix of a mesoscopic system.
Two geometries are contrasted: A quantum dot and a disordered wire. The quantum dot is a …

We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

We present exact results for partition functions of Jackiw-Teitelboim (JT) gravity on two-
dimensional surfaces of arbitrary genus with an arbitrary number of boundaries. The …

A bstract We argue that the late time behavior of horizon fluctuations in large anti-de Sitter
(AdS) black holes is governed by the random matrix dynamics characteristic of quantum …

In finite entropy systems, real-time partition functions do not decay to zero at late time.
Instead, assuming random matrix universality, suitable averages exhibit a growing" ramp" …

A bstract We compute the path integral of three-dimensional gravity with negative
cosmological constant on spaces which are topologically a torus times an interval. These …

We discuss a method of numerically identifying exact energy eigenstates for a finite system,
whose form can then be obtained analytically. We demonstrate our method by identifying …

In recent years approximation theory and the theory of orthogonal polynomials have
witnessed a dramatic increase in the number of solutions of difficult and previously …

2. Results. The leading-order asymptotics in (1.7), a weak-type Szeg5 theo-rem, can be
proved in greater generality. A heuristic saddle point argument (see [BIPZ]) shows that the …

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 …