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math.CO2022
Partitions with constrained ranks and lattice paths
Sylvie Corteel, Sergi Elizalde, Carla Savage
In this paper we study partitions whose successive ranks belong to a given set. We enumerate such partitions while keeping track of the number of parts, the largest part, the side…
math.CO2022
Colored vertex models and -tilings of the Aztec diamond
Sylvie Corteel, Andrew Gitlin, David Keating
We study -tilings (-tuples of domino tilings) of the Aztec diamond of rank . We assign a weight to each -tiling, depending on the number of dominos of certain types and…