Rowmotion Markov chains

DOI10.1016/j.aam.2023.102666arXiv2212.14005OpenAlexW4390812781WikidataQ130128120 ScholiaQ130128120MaRDI QIDQ6153614

Colin Defant, Evita Nestoridi, Rupert Li

Publication date: 14 February 2024

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.14005

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Structure and representation theory of distributive lattices (06D05) Other generalizations of distributive lattices (06D75)

Cites Work

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• Promotion and rowmotion
• The canonical join complex
• Antichain toggling and rowmotion
• Properties of the promotion Markov chain on linear extensions
• Unified theory for finite Markov chains
• Combinatorial Markov chains on linear extensions
• Cambrian lattices.
• Clusters, Coxeter-sortable elements and noncrossing partitions
• Rowmotion and generalized toggle groups
• $P$-strict promotion and $B$-bounded rowmotion, with applications to tableaux of many flavors
• Rowmotion in slow motion
• Toggling independent sets of a path graph
• The CDE property for skew vexillary permutations
• Semidistrim Lattices

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