Concentration for the maximum magnitude entry for a random matrix

Question

For $A \in {\mathbb R}^{n \times m}$ let,

$$ \vert A \vert _{\max} = \max_{\substack{i=1,\ldots, n\\ j = 1,\ldots,m}} \vert A_{ij} \vert $$

• Are there any concentration inequalities known about this ``max-"norm of a matrix?