2 papers
math.CO2021
Improved bounds in Weaver's conjecture for high rank positive semidefinite matrices
Zhiqiang Xu, Zili Xu, Ziheng Zhu
Recently Marcus, Spielman and Srivastava proved Weaver's conjecture, which gives a positive solution to the Kadison-Singer problem. Cohen and Brändén independently ex…
math.CO2020
Upper and Lower bounds for matrix discrepancy
Jiaxin Xie, Zhiqiang Xu, Ziheng Zhu
The aim of this paper is to study the matrix discrepancy problem. Assume that are independent scalar random variables with finite support and $\mathbf{u}_1,\ldots,…