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math.CO2023★ 1 cited
Plane partitions and rowmotion on rectangular and trapezoidal posets
Joseph Johnson, Ricky Ini Liu
We define a birational map between labelings of a rectangular poset and its associated trapezoidal poset. This map tropicalizes to a bijection between the plane partitions of these…
math.CO2023
The Codegree, Weak Maximum Likelihood Threshold, and the Gorenstein Property of Hierarchical Models
Joseph Johnson, Seth Sullivant
The codegree of a lattice polytope is the smallest integer dilate that contains a lattice point in the relative interior. The weak maximum likelihood threshold of a statistical mod…