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math.PR2025
Dynamics of rotationally invariant polynomial root sets under iterated differentiations
André Galligo, Joseph Najnudel, Truong Vu
We associate to an -sample of a given rotationally invariant probability measure with compact support in the complex plane, a polynomial with roots given by the samp…
math.PR2025
Dynamics of roots of randomized derivative polynomials
André Galligo, Joseph Najnudel
In this paper, we study the asymptotic macroscopic behavior of the root sets of iterated, randomized derivatives of polynomials. The randomization depend on a parameter of inverse…