238 citations · 1.5k across the 41 of their papers we have counts for
Showing 2011 · math.PRShow all
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math.PR2011★ 12 cited
The Isotropic Semicircle Law and Deformation of Wigner Matrices
Antti Knowles, Jun Yin
We analyse the spectrum of additive finite-rank deformations of Wigner matrices . The spectrum of the deformed matrix undergoes a transition, associated with the cr…
math.PR2011★ 238 cited
Spectral Statistics of Erd{\H o}s-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues
Laszlo Erdos, Antti Knowles, Horng-Tzer Yau +1
We consider the ensemble of adjacency matrices of Erd{\H o}s-Rényi random graphs, i.e.\ graphs on vertices where every edge is chosen independently and with probability $p \equ…
math.PR2011★ 198 cited
Spectral statistics of Erdős-Rényi graphs I: Local semicircle law
László Erdős, Antti Knowles, Horng-Tzer Yau +1
We consider the ensemble of adjacency matrices of Erdős-Rényi random graphs, that is, graphs on vertices where every edge is chosen independently and with probability $p\equiv…