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But it is as the roots are continuous functions of the coefficients (I think I said it but perhaps didn’t repeat it in this context).
GilCohen
In 12:20, in order to take p_0 to be a minimum, don't we also have to prove that the additive free convolution is continuous (in the roots of polynomials)?
nirshahar
I don't see how the LHS of Lemma D has a meaning given the definition of finite free convolution that is available at this point of the course?