Troupes, cumulants, and stack-sorting

zbMath1515.05091MaRDI QIDQ6161642

Colin Defant

Publication date: 5 June 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2022//16.html

zbMATH Keywords

cumulantsfree probabilitystack-sortingtroupespostorder traversal

Mathematics Subject Classification ID

Trees (05C05) Enumeration in graph theory (05C30) Combinatorial probability (60C05) Planar graphs; geometric and topological aspects of graph theory (05C10) Transversal (matching) theory (05D15) Graph operations (line graphs, products, etc.) (05C76)

Related Items (7)

Pop-stack-sorting for Coxeter groups ⋮ Stack-sorting for Coxeter groups ⋮ 312-Avoiding reduced valid hook configurations and duck words ⋮ Fertilitopes ⋮ Stack-sortable permutations and beyond ⋮ Stack-sorting with consecutive-pattern-avoiding stacks ⋮ Some statistics on generalized Motzkin paths with vertical steps

Cites Work

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• Two integer sequences related to Catalan numbers
• Stack-sorting, set partitions, and Lassalle's sequence
• Multiplicative functions on the lattice of non-crossing partitions and free convolution
• A survey of stack-sorting disciplines
• Sorted and/or sortable permutations
• Troupes, cumulants, and stack-sorting
• Quantifying noninvertibility in discrete dynamical systems
• Counting 3-stack-sortable permutations
• Relations between cumulants in noncommutative probability
• Cumulants of the q-semicircular Law, Tutte Polynomials, and Heaps

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