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math.PR2011
The distribution of zeros of the derivative of a random polynomial
Robin Pemantle, Igor Rivin
In this note we initiate the probabilistic study of the critical points of polynomials of large degree with a given distribution of roots. Namely, let f be a polynomial of degree n…
math.PR2011★ 2 cited
Concentration of Lipschitz functionals of determinantal and other strong Rayleigh measures
Robin Pemantle, Yuval Peres
Let X_1 ,..., X_n be a collection of binary valued random variables and let f : {0,1}^n -> R be a Lipschitz function. Under a negative dependence hypothesis known as the {\em stron…