We show that correlators of the hermitian one-Matrix model with a general potential can be
mapped to the counting of certain triples of permutations and hence to counting of …

The earlier times of the evolution of a magnetic system contain more information than we
can imagine. Capturing correlation matrices built from different time evolutions of a simple …

We find the microscopic spectral densities and the spectral correlators associated with multi-
critical behavior for both hermitian and complex matrix ensembles, and show their …

We discuss, perturbatively and nonperturbatively, the multiband phase structure that arises
in Hermitian one-matrix models with potentials having several local minima. The tree-level …

The steepest descent solution of the Penner matrix model has a one-cut eigenvalue support.
Criticality results when the two branch points of this support coalesce. The support is then a …

Random matrix theory, particularly using matrices akin to the Wishart ensemble, has proven
successful in elucidating the thermodynamic characteristics of critical behavior in spin …

We study symmetry breaking in Z 2 symmetric large N matrix models. In the planar
approximation for both the symmetric double-well φ 4 model and the symmetric Penner …

In this paper, we are interested in the critical behavior of generalized Penner models at t∼−
1+ μ N where the topological expansion for the free energy develops logarithmic …

We study numerically the recurrence relations in the orthogonal polynomial method for a
one-matrix model with a six-order even potential. We show how the phase structure derived …

In the past few years, the supersymmetry method has been generalized to real symmetric,
Hermitian, and Hermitian self-dual random matrices drawn from ensembles invariant under …