Jun Yin

activity

20072022

most citedSpectral Statistics of Erd{\H o}s-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

238 citations · 1.4k across the 34 of their papers we have counts for

collaborators

35 papers

math.PR2022

Bulk universality and quantum unique ergodicity for random band matrices in high dimensions

Changji Xu, Fan Yang, Horng-Tzer Yau +1

We consider Hermitian random band matrices $H = (h_{x y})$ on the $d$ -dimensional lattice $(Z / L Z)^{d}$ , where the entries $h_{x y} = h_{y x}$ are independent cent…

math.PR2021★ 9 cited

Delocalization and quantum diffusion of random band matrices in high dimensions II: $T$ -expansion

Fan Yang, Horng-Tzer Yau, Jun Yin

We consider Green's functions $G (z) := (H - z)^{- 1}$ of Hermitian random band matrices $H$ on the $d$ -dimensional lattice $(Z / L Z)^{d}$ . The entries $h_{x y} = h ˉ_{y x}$ o…

math.PR2021

Delocalization and quantum diffusion of random band matrices in high dimensions I: Self-energy renormalization

Fan Yang, Horng-Tzer Yau, Jun Yin

We consider Hermitian random band matrices $H = (h_{x y})$ on the $d$ -dimensional lattice $(Z / L Z)^{d}$ . The entries $h_{x y}$ are independent (up to Hermitian conditions)…

math.PR2018★ 21 cited

Random band matrices in the delocalized phase, II: Generalized resolvent estimates

Paul Bourgade, Fan Yang, Horng-Tzer Yau +1

This is the second part of a three part series abut delocalization for band matrices. In this paper, we consider a general class of $N \times N$ random band matrices $H = (H_{ij})$ wh…

math.PR2018★ 21 cited

Random band matrices in the delocalized phase, I: Quantum unique ergodicity and universality

Paul Bourgade, Horng-Tzer Yau, Jun Yin

Consider $N \times N$ symmetric one-dimensional random band matrices with general distribution of the entries and band width $W \geq N^{3/4 + ε}$ for any $ε > 0$ . In…

math.PR2018★ 10 cited

Random band matrices in the delocalized phase, III: Averaging fluctuations

Fan Yang, Jun Yin

We consider a general class of symmetric or Hermitian random band matrices $H = (h_{x y})_{x, y \in [[1, N]]^{d}}$ in any dimension $d \geq 1$ , where the entries are indepe…