Yi Han

collaborators

3 papers

math.PR2026

Brown measure convergence for the spectrum of polynomials in Ginibre matrices

Yi Han

Fix a multivariate polynomial $p$ in $n$ non-commuting variables of arbitrary degree, and consider $n$ independent $N \times N$ complex Ginibre matrices $X_1^N,\cdots,X_n…

math.PR2026

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 $G = (V, E)$ having maximal degree $I^$ , where the external field at each vertex is an i.i.d. random variable. Wh…

math.PR2025

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 $K$ to the diagonal. The most important example is dis…