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math.CO2023
The Six-Vertex Model with a Non-Standard Boundary Condition
Matěj Doležálek, Martin Raška, Ester Sgallová +2
We consider the enumeration of states in the Brubaker-Bump-Friedberg six-vertex model, whose boundary conditions are determined by an integer partition. In general, we find the num…
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…