4 citations · 7 across the 5 of their papers we have counts for
5 papers
Spectral properties and phase diagrams of sparse antagonistic random matrices with diagonal disorder and Jacobian-like structure
Luca Giammanco, Pietro Valigi, Chiara Cammarota
Complex interacting systems are often modelled by random matrices whose spectral properties dictate stability. In sparse antagonistic matrices without diagonal disorder, low connec…
Graphicality of power-law and double power-law degree sequences
Pietro Valigi, M. Ángeles Serrano, Claudio Castellano +1
The graphicality problem -- whether or not a sequence of integers can be used to create a simple graph -- is a key question in network theory and combinatorics, with many important…
Local equations for the generalized Lotka-Volterra model on sparse asymmetric graphs
David Machado, Pietro Valigi, Tommaso Tonolo +1
Real ecosystems are characterized by sparse and asymmetric interactions, posing a major challenge to theoretical analysis. We introduce a new method to study the generalized Lotka-…
Eigenvalue spectral tails and localization properties of asymmetric networks
Pietro Valigi, Joseph W. Baron, Izaak Neri +2
In contrast to the neatly bounded spectra of densely populated large random matrices, sparse random matrices often exhibit unbounded eigenvalue tails on the real and imaginary axis…
Local sign stability and its implications for spectra of sparse random graphs and stability of ecosystems
Pietro Valigi, Izaak Neri, Chiara Cammarota
We study the spectral properties of sparse random graphs with different topologies and type of interactions, and their implications on the stability of complex systems, with partic…