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math.PR2025
A semicircle law for the normalized Laplacian of sparse random graphs
Yiming Chen, Zijun Chen, Yizhe Zhu
We study the limiting spectral distribution of the normalized Laplacian of an ErdÅs-Rényi graph . To account for the presence of isolated vertices in the spa…
math.PR2024
The discrepancy in min-max statistics between two random matrices with finite third moments
Zijun Chen, Yiming Chen, Chengfu Wei
We propose a novel coupling inequality of the min-max type for two random matrices with finite absolute third moments, which generalizes the quantitative versions of the well-known…