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math.CO2024★ 1 cited
Tilings of Benzels via Generalized Compression
Colin Defant, Leigh Foster, Rupert Li +2
Defant, Li, Propp, and Young recently resolved two enumerative conjectures of Propp concerning the tilings of regions in the hexagonal grid called benzels using two types of protot…
math.CO2023★ 3 cited
Ungarian Markov Chains
Colin Defant, Rupert Li
We introduce the Ungarian Markov chain associated to a finite lattice . The states of this Markov chain are the elements of . When the chain is in a state $x\in L…
math.CO2022
Rowmotion Markov Chains
Colin Defant, Rupert Li, Evita Nestoridi
Rowmotion is a certain well-studied bijective operator on the distributive lattice of order ideals of a finite poset . We introduce the rowmotion Markov chain ${\bf M}_{J…