3 papers
math.PR2026
Localization Lengths of Power-Law Random Band Matrices
Jiaqi Fan, Fan Yang, Jun Yin
We study large power-law random band matrices with centered complex Gaussian entries, where the variances satisfy a power-law decay $\mathbb{E}|H_{ij}|^2\p…
math.PR2025
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\}^…
math.PR2025
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…