Author

Jonas Jalowy

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Open access Sep 2026

Zeros and Exponential Profiles of Polynomials II: Examples

In [Jalowy, Kabluchko, Marynych, Part I of the present work, Constr. Approx.], the authors discuss a user-friendly approach to determine the limiting empirical zero distribution of a sequence of real-rooted polynomials, as the degree goes to $$\infty $$ ∞ . In this note, we aim to apply it to a vast...

Jonas Jalowy, Zakhar Kabluchko, A. Marynych · Constructive approximation · 0 citations

Preprint Sep 2026

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 $z_1,\dots,z_n\sim\mu_0$, where $\mu_0$ has a bounded compactly supported density in the complex plane. For the heat flow of small enough time $t>0$...

Jonas Jalowy · 1 citation