3 citations · 5 across the 6 of their papers we have counts for
6 papers
Extinction drives emergent metastability in complex ecosystems
Jong Il Park, Tim Rogers, Joseph W. Baron
Extinction is inevitable; every species eventually dies out, impacting the ecosystem it is part of. Over the past few decades, extensive research stemming from the stability-divers…
Lecture notes on random matrix theory: the results, the applications, and the analytical tools
Joseph W. Baron
Random matrix theory has established itself as a theoretical cornerstone of the mathematical sciences over the past century. It has undeniable utility in areas of research as diver…
Local density of states distribution and multifractal eigenvectors of weighted random networks via the cavity approach
Joseph W. Baron, Tim Rogers
We study the local density of states (LDoS) distribution of a general class of weighted Erdős-Rényi graphs. Using the cavity method, we obtain a good approximation to the full LDoS…
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…
Classes of non-Gaussian random matrices: long-range eigenvalue correlations and non-ergodic extended eigenvectors
Joseph W. Baron
The remarkable universality of the eigenvalue correlation functions is perhaps one of the most salient findings in random matrix theory. Particularly for short-range separations of…
Mean-Field Analysis of the Glassy Dynamics of an Elastoplastic Model of Super-Cooled Liquids
Joseph W. Baron, Giulio Biroli
We present a mean-field theory of a coarse-grained model of a super-cooled liquid in which relaxation occurs via local plastic rearrangements. Local relaxation can be induced by th…