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math.CO2024★ 1 cited
Hook-length Formulas for Skew Shapes via Contour Integrals and Vertex Models
Greta Panova, Leonid Petrov
The number of standard Young tableaux of a skew shape can be computed as a sum over excited diagrams inside . Excited diagrams are in bijection with certain lozenge tiling…
math.PR2024
Grothendieck Shenanigans: Permutons from pipe dreams via integrable probability
Alejandro H. Morales, Greta Panova, Leonid Petrov +1
We study random permutations arising from reduced pipe dreams. Our main model is motivated by Grothendieck polynomials with parameter arising in K-theory of the flag variety.…