197 citations · 2.1k across the 93 of their papers we have counts for
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Eigenvector statistics of the product of Ginibre matrices
Zdzisław Burda, Bartłomiej J. Spisak, Pierpaolo Vivo
We develop a method to calculate left-right eigenvector correlations of the product of independent complex Ginibre matrices. For illustration, we present explicit a…
From non-ergodic eigenvectors to local resolvent statistics and back: a random matrix perspective
Davide Facoetti, Pierpaolo Vivo, Giulio Biroli
We study the statistics of the local resolvent and non-ergodic properties of eigenvectors for a generalised Rosenzweig-Porter random matrix model, undergoing two transi…
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…
Random pure states: quantifying bipartite entanglement beyond the linear statistics
Pierpaolo Vivo, Mauricio P. Pato, Gleb Oshanin
We analyze the properties of entangled random pure states of a quantum system partitioned into two smaller subsystems of dimensions and . Framing the problem in terms of ran…
Number statistics for -ensembles of random matrices: applications to trapped fermions at zero temperature
Ricardo Marino, Satya N. Majumdar, Gregory Schehr +1
Let be the probability that a -ensemble of random matrices with confining potential has eigenvalues inside an…