I found in this article that $\forall \Gamma$ random matrix with i.i.d. gaussian $(0,\sigma^2)$ entrances $$\mathbb E [\kappa (\Gamma)]=+\infty$$ is that a property of the gaussian distribution or it can be generalized to more general random matrices? Because the proof works with gaussian distribution but I don't see I reason why that feature should be important in this case.


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