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Smallest distances between zeros of Gaussian analytic functions

math.PR · 2026-04-29 · unverdicted · novelty 6.0

Rescaled smallest distances between zeros of Gaussian analytic functions converge to a Poisson point process with universal rate, yielding the limiting density x^{4k-1} e^{-x^4} for the k-th smallest distance.

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  • Smallest distances between zeros of Gaussian analytic functions math.PR · 2026-04-29 · unverdicted · none · ref 18

    Rescaled smallest distances between zeros of Gaussian analytic functions converge to a Poisson point process with universal rate, yielding the limiting density x^{4k-1} e^{-x^4} for the k-th smallest distance.