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Spectral radius concentration for inhomogeneous random matrices with independent entries

Spectral radius concentration for inhomogeneous random matrices with independent entries

Let $A$ be a square random matrix of size $n$, with mean zero, independent but not identically distributed entries, with variance profile $S$. When entries are i.i.d. with unit variance, the spectral radius of $n^{-1/2}A$ converges to $1$ whereas the operator norm converges to 2. Motivated by recent interest in …