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math.CO2022
Shi arrangements restricted to Weyl cones
Galen Dorpalen-Barry, Christian Stump
We consider the restrictions of Shi arrangements to Weyl cones, their relations to antichains in the root poset, and their intersection posets. For any Weyl cone, we provide biject…
math.PR2022
Central limit theorems for generalized descents and generalized inversions in finite root systems
Kathrin Meier, Christian Stump
We consider generalized inversions and descents in finite Weyl groups. We establish Coxeter-theoretic properties of indicator random variables of positive roots such as the covaria…