8 papers · 1 filter
Localization Lengths for Two-Dimensional Random Band Matrices: Stretched-Exponential Lower Bounds
Xujie Lai, Fan Yang
We consider random band matrices with centered complex Gaussian entries, indexed by points on the two-dimensional discrete torus $(\mathbb{Z} / \s…
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…
A random matrix model towards the quantum chaos transition conjecture
Bertrand Stone, Fan Yang, Jun Yin
Consider random systems that are modeled by independent complex Hermitian Wigner matrices. Suppose they are lying on a circle and the neighboring systems interact w…