238 citations · 1.5k across the 41 of their papers we have counts for
4 papers · 1 filter
The Local Semicircle Law for a General Class of Random Matrices
Laszlo Erdos, Antti Knowles, Horng-Tzer Yau +1
We consider a general class of random matrices whose entries are independent up to a symmetry constraint, but not necessarily identically distributed. Our main…
The outliers of a deformed Wigner matrix
Antti Knowles, Jun Yin
We derive the joint asymptotic distribution of the outlier eigenvalues of an additively deformed Wigner matrix . Our only assumptions on the deformation are that its rank be fix…
Delocalization and Diffusion Profile for Random Band Matrices
Laszlo Erdos, Antti Knowles, Horng-Tzer Yau +1
We consider Hermitian and symmetric random band matrices in dimensions. The matrix entries , indexed by $x,y \in (\bZ/L\bZ)^d$, are independent, c…
Averaging Fluctuations in Resolvents of Random Band Matrices
Laszlo Erdos, Antti Knowles, Horng-Tzer Yau
We consider a general class of random matrices whose entries are centred random variables, independent up to a symmetry constraint. We establish precise high-probability bounds on…