Finite-volume effects in Quantum Chromodynamics (QCD) have been a subject of much
theoretical interest for more than two decades. They are in particular important for the …

We discuss the product of M rectangular random matrices with independent Gaussian
entries, which have several applications, including wireless telecommunication and …

We apply complex Langevin dynamics to chiral random matrix theory at nonzero chemical
potential. At large quark mass, the simulations agree with the analytical results while …

We extend the Polyakov-Nambu-Jona-Lasinio model for two degenerate flavors by including
the effect of the SU (3) measure with a Vandermonde term. This ensures that the Polyakov …

We study the joint probability density of the eigenvalues of a product of rectangular real,
complex, or quaternion random matrices in a unified way. The random matrices are …

In the recent publication (E. Kanzieper and G. Akemann in Phys. Rev. Lett. 95: 230201,
2005), an exact solution was reported for the probability pn, k to find exactly k real …

It is known that hermitean random matrix ensembles can be identified with symmetric coset
spaces of Lie groups, or else with tangent spaces of the same. This results in a classification …

A bstract We study the singular values of the Dirac operator in dense QCD-like theories at
zero temperature. The Dirac singular values are real and nonnegative at any nonzero quark …

The focus of this paper is on the distribution function of the rightmost eigenvalue for the
complex elliptic Ginibre ensemble in the limit of weak non-Hermiticity. We show how the …

In non-Hermitian random matrix theory there are three universality classes for local spectral
correlations: the Ginibre class and the nonstandard classes AI† and AII†. We show that the …