The largest eigenvalue of an entrywise-transformed spiked Wigner matrix has the same fluctuation law as a standard spiked Wigner matrix, with the effective SNR λ(E[f'])^2 replacing λ.
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Fluctuations of the largest eigenvalues of transformed spiked Wigner matrices
The largest eigenvalue of an entrywise-transformed spiked Wigner matrix has the same fluctuation law as a standard spiked Wigner matrix, with the effective SNR λ(E[f'])^2 replacing λ.