Yizhe Zhu

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math.PR2025

Singular values of sparse random rectangular matrices: Emergence of outliers at criticality

Ioana Dumitriu, Hai-Xiao Wang, Zhichao Wang +1

Consider the random bipartite Erdős-Rényi graph $G (n, m, p)$ , where each edge with one vertex in $V_{1} = [n]$ and the other vertex in $V_{2} = [m]$ is connected with probabi…

math.PR2025

Spectra of high-dimensional sparse random geometric graphs

Yifan Cao, Yizhe Zhu

We determine the limiting empirical spectral distribution of sparse high-dimensional random geometric graphs. The vertices are independent uniform points on the unit sphere $S^{d-1…