Our goal is to discuss in detail the calculation of the mean number of stationary points and
minima for random isotropic Gaussian fields on a sphere as well as for stationary Gaussian …

Recent theoretical advances predict the existence, deep into the glass phase, of a novel
phase transition, the so-called Gardner transition. This transition is associated with the …

We exploit a relation between the mean number N m of minima of random Gaussian
surfaces and extreme eigenvalues of random matrices to understand the critical behavior of …

We consider a model of a quenched disordered geometry in which a random metric is
defined on 2, which isflat on average and presents short-range correlations. We focus on …

Magnetite nanostructured powder samples were synthesized by aging chemical method.
Phase, structural, and magnetic properties were characterized. X-ray diffraction patterns …

We study in Ising spin glasses the finite-size effects near the spin-glass transition in zero
field and at the de Almeida–Thouless transition in a field by Monte Carlo methods and by …

We consider an invariant random matrix ensemble where the standard Gaussian potential is
distorted by an additional single pole of arbitrary fixed order. Potentials with first-and second …

We consider two mean-field models of structural glasses, the random energy model and the
p-spin model (PSM), and we show that the finite-size fluctuations of the freezing temperature …

We derive exact results for gap probabilities, as well as densities of extreme eigenvalues for
six complex random matrix ensembles of fundamental importance. These are Gauss …

To understand the finite-size-scaling properties of phases transitions in classical and
quantum models in the presence of quenched disorder, it has proven to be fruitful to …