The paper proves central limit theorems for fluctuations of repeatedly differentiated random polynomials and a heavy-tailed analogue with random Appell limits, but the polynomial CLT has a factor error.
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Critical points of random polynomials and finite free cumulants
The paper proves central limit theorems for fluctuations of repeatedly differentiated random polynomials and a heavy-tailed analogue with random Appell limits, but the polynomial CLT has a factor error.