The scaled spectral radius of products of k_n complex Ginibre n-by-n matrices converges weakly to a continuous family Phi_alpha of limiting distributions that interpolates between the standard normal (alpha=0) and Gumbel (alpha=infty) laws, with exact convergence rates.
Exact convergence rate of spectral radius of complex Ginibre to Gumbel distribution.Random matrices: Th Appl., 2026, 2650003
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From Gaussian to Gumbel: extreme eigenvalues of complex Ginibre products with exact rates
The scaled spectral radius of products of k_n complex Ginibre n-by-n matrices converges weakly to a continuous family Phi_alpha of limiting distributions that interpolates between the standard normal (alpha=0) and Gumbel (alpha=infty) laws, with exact convergence rates.