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math.PR2025
Permutons from Demazure Products
Colin Defant
We construct and analyze several new families of permutons arising from random processes involving the Demazure product on the symmetric group. First, we consider Demazure products…
math.PR2025
Random Subwords and Billiard Walks in Affine Weyl Groups
Colin Defant, Pakawut Jiradilok, Elchanan Mossel
Let be an irreducible affine Weyl group, and let be a finite word over the alphabet of simple reflections of . Fix a probability . For each integer $…