FPT Lecture 10d - proof of the finite R-transform theorem

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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
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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
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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?

gusolyre