3 papers
cond-mat.stat-mech2021
Cavity and replica methods for the spectral density of sparse symmetric random matrices
Vito A R Susca, Pierpaolo Vivo, Reimer Kühn
We review the problem of how to compute the spectral density of sparse symmetric random matrices, i.e. weighted adjacency matrices of undirected graphs. Starting from the Edwards-J…
cond-mat.stat-mech2020
Second largest Eigenpair Statistics for Sparse Graphs
Vito A R Susca, Pierpaolo Vivo, Reimer Kühn
We develop a formalism to compute the statistics of the second largest eigenpair of weighted sparse graphs with nodes, finite mean connectivity and bounded maximal degree,…
cond-mat.stat-mech2019
Top Eigenpair Statistics for Weighted Sparse Graphs
Vito Antonio Rocco Susca, Pierpaolo Vivo, Reimer Kuehn
We develop a formalism to compute the statistics of the top eigenpair of weighted sparse graphs with finite mean connectivity and bounded maximal degree. Framing the problem in ter…