Fan Yang

activity

20172020

most citedPure point spectrum for the Maryland model: a constructive proof

16 citations · 19 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.PR2018

Edge universality of separable covariance matrices

Fan Yang

In this paper, we prove the edge universality of largest eigenvalues for separable covariance matrices of the form $Q := A^{1/2} X B X^{*} A^{1/2}$ . Here $X = (x_{ij})$ is an $n\ti…

math.PR2018

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

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…