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math.CO2023
Strange Expectations in Affine Weyl Groups
Eric Nathan Stucky, Marko Thiel, Nathan Williams
Our main result is a generalization, to all affine Weyl groups, of P. Johnson's proof of D. Armstrong's conjecture for the expected number of boxes in a simultaneous core. This ext…
math.CO2018★ 20 cited
Rowmotion in slow motion
Hugh Thomas, Nathan Williams
Rowmotion is a simple cyclic action on the distributive lattice of order ideals of a poset: it sends the order ideal x to the order ideal generated by the minimal elements not in x…