197 citations · 2.1k across the 93 of their papers we have counts for
17 papers · 1 filter
Maximal Minimal Spacing for Random Points
Fabio Deelan Cunden, Noemi Cuppone, Giovanni Gramegna +1
From random points on a line we wish to select points so as to maximize the minimal spacing between them. We consider an initial configuration with independent and iden…
Third-order phase transition: random matrices and screened Coulomb gas with hard walls
Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò +1
Consider the free energy of a -dimensional gas in canonical equilibrium under pairwise repulsive interaction and global confinement, in presence of a volume constraint. When the…
Introduction to Random Matrices - Theory and Practice
Giacomo Livan, Marcel Novaes, Pierpaolo Vivo
This is a book for absolute beginners. If you have heard about random matrix theory, commonly denoted RMT, but you do not know what that is, then welcome!, this is the place for yo…
Universality of the third-order phase transition in the constrained Coulomb gas
Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò +1
The free energy at zero temperature of Coulomb gas systems in generic dimension is considered as a function of a volume constraint. The transition between the 'pulled' and the 'pus…
Large- expansion for the time-delay matrix of ballistic chaotic cavities
Fabio Deelan Cunden, Francesco Mezzadri, Nick Simm +1
We consider the -expansion of the moments of the proper delay times for a ballistic chaotic cavity supporting scattering channels. In the random matrix approach, these mom…
Large deviations of radial statistics in the two-dimensional one-component plasma
Fabio Deelan Cunden, Francesco Mezzadri, Pierpaolo Vivo
The two-dimensional one-component plasma is an ubiquitous model for several vortex systems. For special values of the coupling constant (where is the particles charge an…