22 citations · 181 across the 28 of their papers we have counts for
6 papers · 1 filter
Geometric law for numbers of returns until a hazard under -mixing
Yuri Kifer, Fan Yang
We consider a -mixing shift on a sequence space and study the number of returns to a union of cylinders of length until the first return $\{ T^k…
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 . Here is an $n\ti…
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 random band matrices wh…
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 in any dimension , where the entries are indepe…
Singular continuous spectrum and generic full spectral/packing dimension for unbounded quasiperiodic Schrödinger operators
Fan Yang, Shiwen Zhang
We proved that Schrödinger operators with unbounded potentials have purely singular continuous spectrum on the set $\{E:…
Spectral Dimension for -almost periodic singular Jacobi operators and the extended Harper's model
Rui Han, Fan Yang, Shiwen Zhang
We study fractal dimension properties of singular Jacobi operators. We prove quantitative lower spectral/quantum dynamical bounds for general operators with strong repetition prope…