Condition number of rectangular gaussian matrix

Hello,

I am concerned with a rectangular m by n matrix M, with entries picked as Gaussian random variables (with some fixed mean and variance).

How large does m need to be so that the ratio between largest and smallest singular value of the matrix, $\frac{\sigma_1(M)}{\sigma_n(M)}$ converges to 1?

Any idea what is the right reference to look at?

Thanks!

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