6 papers · 1 filter
Delocalization of Non-Mean-Field Random Matrices in Dimensions
Sofiia Dubova, Fan Yang, Horng-Tzer Yau +1
We study random band matrices with mean-zero complex Gaussian entries, where lie on the discrete torus i…
A Block Reduction Method for Random Band Matrices with General Variance Profiles
Jiaqi Fan, Fan Yang, Jun Yin
We present a novel block reduction method for the study of a general class of random band matrices (RBM) defined on the -dimensional lattice $\mathbb{Z}_{L}^d:=\{1,2,\ldots,L\}^…
Delocalization of random band matrices at the edge
Fan Yang, Jun Yin
We consider Hermitian random band matrices , whose entries are centered complex Gaussian random variables. The indices range over the -dimensional…
Localization-delocalization transition for a random block matrix model at the edge
Jiaqi Fan, Bertrand Stone, Fan Yang +1
Consider a random block matrix model consisting of random systems arranged along a circle, where each system is modeled by an independent complex Hermitian Wigner m…
On the localization length of finite-volume random block Schrödinger operators
Steven Khang Truong, Fan Yang, Jun Yin
We study a general class of random block Schrödinger operators (RBSOs) in dimensions 1 and 2, which naturally extend the Anderson model by replacing the random potential with a ran…
Delocalization of a general class of random block Schrödinger operators
Fan Yang, Jun Yin
We consider a natural class of extensions of the Anderson model on , called random block Schrödinger operators (RBSOs), defined on the -dimensional torus $(\mathbb…