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Oct 14, 2022 at 18:02 comment added user196574 Really nice to see! Curious that InverseFourierTransform fares better than direct integration, but it likely makes sense, since the former can be more specialized. This solution also helped me realize a curious divergence structure at small arguments; I'd been expecting $x^{-2/3}$, but this diverges as $x^{-1/2}$, confirmed in my approximate sampling histograms.
Oct 14, 2022 at 17:59 vote accept user196574
Oct 14, 2022 at 6:14 history answered user293787 CC BY-SA 4.0