Random Demazure products on arbitrary order-convex shapes converge to explicit permuton limits with KPZ-type Tracy-Widom fluctuations, and the density inside the classic bubble-sort curve is now known.
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Permutons from Demazure Products
Random Demazure products on arbitrary order-convex shapes converge to explicit permuton limits with KPZ-type Tracy-Widom fluctuations, and the density inside the classic bubble-sort curve is now known.