79 citations · 583 across the 34 of their papers we have counts for
Showing 2016Show all
2 papers · 1 filter
cond-mat.stat-mech2016★ 39 cited
Eigenvalue Outliers of non-Hermitian Random Matrices with a Local Tree Structure
Izaak Neri, Fernando Lucas Metz
Spectra of sparse non-Hermitian random matrices determine the dynamics of complex processes on graphs. Eigenvalue outliers in the spectrum are of particular interest, since they de…
cond-mat.dis-nn2016★ 38 cited
Large deviation function for the number of eigenvalues of sparse random graphs inside an interval
Fernando L. Metz, Isaac Pérez Castillo
We present a general method to obtain the exact rate function controlling the large deviation probability $\text{Prob}[\mathcal{I}_N[a,b]=kN] \asymp e^{-NΨ_{[a,b]}(k…