For random subwords of b^K in an irreducible affine Weyl group, the normalized alcove position converges to a central spherical Gaussian, with an explicit variance formula.
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Random Subwords and Billiard Walks in Affine Weyl Groups
For random subwords of b^K in an irreducible affine Weyl group, the normalized alcove position converges to a central spherical Gaussian, with an explicit variance formula.