Ungarian Markov chains

DOI10.1214/23-ejp1056arXiv2301.08206OpenAlexW4389351736MaRDI QIDQ6136831

Rupert Li, Colin Defant

Publication date: 17 January 2024

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.08206

zbMATH Keywords

Markov chainCoxeter groupweak orderCambrian latticeTamari latticetrim lattice

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Structure theory of lattices (06B05) Other generalizations of distributive lattices (06D75) Combinatorial aspects of groups and algebras (05E16)

Cites Work

• A recursion on maximal chains in the Tamari lattices
• The number of intervals in the \(m\)-Tamari lattices
• An analogue of distributivity for ungraded lattices
• Sortable elements and Cambrian lattices.
• Cambrian fans.
• 2N noncollinear points determine at least 2N directions
• The local limit of random sorting networks
• Local statistics for random domino tilings of the Aztec diamond
• On the wildness of Cambrian lattices
• Counting smaller elements in the Tamari and \(m\)-Tamari lattices
• Random sorting networks
• The representation of the symmetric group on \(m\)-Tamari intervals
• Higher trivariate diagonal harmonics via generalized Tamari posets
• Cambrian lattices.
• Rings of sets
• The pop-stack-sorting operator on Tamari lattices
• A stack and a pop stack in series
• The Surprising Mathematics of Longest Increasing Subsequences
• Chains of maximum length in the Tamari lattice
• On the maximum and its uniqueness for geometric random samples
• Clusters, Coxeter-sortable elements and noncrossing partitions
• Noncrossing partitions and representations of quivers
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
• Essential Chains and Homotopy Type of Posets
• The Directions Determined by n Points in the Plane
• Geometry of $\nu $-Tamari lattices in types $A$ and $B$
• Pop-stack-sorting for Coxeter groups
• The Archimedean limit of random sorting networks
• Two-stack-sorting with pop stacks
• Rowmotion in slow motion
• Circular support in random sorting networks
• On the Sets of Directions Determined by n Points
• Combinatorial Frameworks for Cluster Algebras
• The enumeration of generalized Tamari intervals
• Enumerating permutations sortable by \(k\) passes through a pop-stack
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