For sparse non-Hermitian random matrices with constant average degree d<1, the paper claims spectral radius zero with probability (1-d)e^{d+d^2/2} and Theta_p(1) otherwise, but the zero probability and lower-bound proof have serious errors.
On the spectral radius of a random matrix: An upper bound without fourth moment
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Spectral radii of sparse non-Hermitian random matrices
For sparse non-Hermitian random matrices with constant average degree d<1, the paper claims spectral radius zero with probability (1-d)e^{d+d^2/2} and Theta_p(1) otherwise, but the zero probability and lower-bound proof have serious errors.