35 citations · 269 across the 26 of their papers we have counts for
29 papers
Sparse Random Block Matrices
Giovanni M. Cicuta, Mario Pernici
The spectral moments of ensembles of sparse random block matrices are analytically evaluated in the limit of large order. The structure of the sparse matrix corresponds to the Erdö…
Noncrossing partition flow and random matrix models
Mario Pernici
We study a generating function flowing from the one enumerating a set of partitions to the one enumerating the corresponding set of noncrossing partitions; numerical simulations in…
Mean-field density of states of a small-world model and a jammed soft spheres model
Mario Pernici
We consider a class of random block matrix models in dimensions, , motivated by the study of the vibrational density of states (DOS) of soft spheres near the isostatic…
Proof of a conjecture on the infinite dimension limit of a unifying model for random matrix theory
Mario Pernici, Giovanni M. Cicuta
We study the large limit of a sparse random block matrix ensemble. It depends on two parameters: the average connectivity and the size of the blocks , which is the dimen…
The Blume-Capel model for spins S=1 and 3/2 in dimensions d=2 and 3
P. Butera, M. Pernici
Expansions through the 24th order at high-temperature and up to 11th order at low-temperature are derived for the main observables of the Blume-Capel model on bipartite lattices (s…
New results on the constants in some inequalities for the Navier-Stokes quadratic nonlinearity
Carlo Morosi, Mario Pernici, Livio Pizzocchero
We give fully explicit upper and lower bounds for the constants in two known inequalities related to the quadratic nonlinearity of the incompressible (Euler or) Navier-Stokes equat…