▪ Abstract Random matrix theory is a powerful way to describe universal correlations of
eigenvalues of complex systems. It also may serve as a schematic model for disorder in …

Over the last few years lattice techniques have been used to investigate candidate theories
of new physics beyond the standard model. This review gives a survey of results from these …

We prove the existence of the double scaling limit in the unitary matrix model with quartic
interaction, and we show that the correlation functions in the double scaling limit are …

We study unitary random matrix ensembles of the form Z_n,N^-1|\detM|^2αe^-NTrV(M)dM,
where α>-1/2 and V is such that the limiting mean eigenvalue density for n, N→∞ and n/N→ …

In [1] we explained that partition functions of various matrix models can be constructed from
that of the cubic Kontsevich model, which, therefore, becomes a basic elementary building …

We describe a novel framework for partially quenched chiral perturbation theory based on
the replica method. The computational rules are exceedingly simple. We illustrate these …

We study unitary random matrix ensembles in the critical case where the limiting mean
eigenvalue density vanishes quadratically at an interior point of the support. We establish …

In this review we discuss the relationship between random matrix theories and symmetric
spaces. We show that the integration manifolds of random matrix theories, the eigenvalue …

Universality of eigenvalue spacings is one of the basic characteristics of random matrices.
We give the precise meaning of universality and discuss the standard universality classes …

The observed slow running of the gauge coupling in SU (3) lattice gauge theory with two
flavors of color sextet fermions naturally suggests it is a theory with one relevant coupling …