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Heat flow and repeated differentiation of polynomials with i.i.d. roots
How do the zeros of a polynomial evolve under the holomorphic heat flow or repeated differentiation? We study these two evolutions for random polynomials with i.i.d.~roots $z_1,\dots,z_n\simμ_0$, where $μ_0$ has a bounded compactly supported density in the complex plane. For the heat flow of small
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