Jun Yin

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math.PR2025

Delocalization of One-Dimensional Random Band Matrices

Horng-Tzer Yau, Jun Yin

Consider an $N \times N$ Hermitian one-dimensional random band matrix with band width $W > N^{1/2 + c}$ for any $c > 0$ . In the bulk of the spectrum and in the l…

math.PR2025

Delocalization of Two-Dimensional Random Band Matrices

Sofiia Dubova, Kevin Yang, Horng-Tzer Yau +1

We study a random band matrix $H = (H_{x y})_{x, y}$ of dimension $N \times N$ with mean-zero complex Gaussian entries, where $x, y$ belong to the discrete torus $(\mathbb{Z}/\sqrt{N}\ma…