1 citations · 1 across the 5 of their papers we have counts for
6 papers
Poisson statistics for one-dimensional Anderson--Bernoulli Schrödinger operators
Yi Han
We prove Poisson local eigenvalue statistics for one-dimensional Schrödinger operators with nondegenerate Bernoulli potentials at any fixed nonzero coupling. After unfolding by the…
Brown measure convergence for the spectrum of polynomials in Ginibre matrices
Yi Han
Fix a multivariate polynomial in non-commuting variables of arbitrary degree, and consider independent complex Ginibre matrices $X_1^N,\cdots,X_n…
Glauber dynamics for random field Ising models on bounded degree graphs and MLSI
Yi Han
We study the ferromagnetic random field Ising model (RFIM) on a graph having maximal degree , where the external field at each vertex is an i.i.d. random variable. Whe…
Deformed Fréchet law for Wigner and sample covariance matrices with tail in crossover regime
Yi Han
Given an symmetric random matrix, with elements above the diagonal given by i.i.d. random variables having mean zero and unit variance…
Deviation of top eigenvalue for some tridiagonal matrices under various moment assumptions
Yi Han
Symmetric tridiagonal matrices appear ubiquitously in mathematical physics, serving as the matrix representation of discrete random Schrödinger operators. In this work we investiga…
Symmetric matrices with banded heavy tail noise: local law and eigenvector delocalization
Yi Han
In this work we consider deterministic, symmetric matrices with heavy-tailed noise imposed on entries within a fixed distance to the diagonal. The most important example is dis…