18 citations · 34 across the 10 of their papers we have counts for
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math.PR2017★ 7 cited
Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs
Jiaoyang Huang, Benjamin Landon, Horng-Tzer Yau
We consider the statistics of the extreme eigenvalues of sparse random matrices, a class of random matrices that includes the normalized adjacency matrices of the Erdős-Rényi graph…
math.PR2017★ 18 cited
Edge statistics of Dyson Brownian motion
Benjamin Landon, Horng-Tzer Yau
We consider the edge statistics of Dyson Brownian motion with deterministic initial data. Our main result states that if the initial data has a spectral edge with rough square root…