On the \texttt{rix} statistic and valley-hopping

DOI10.46298/dmtcs.11553zbMATH Open1547.05316MaRDI QIDQ6606985

Nadia Lafrenière, Yan Zhuang

Publication date: 17 September 2024

Published in: Discrete Mathematics and Theoretical Computer Science. DMTCS (Search for Journal in Brave)

zbMATH Keywords

fixed pointspermutation statisticshomomesymodified Foata-Strehl actionrixed pointsvalley-hopping

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Group actions on combinatorial structures (05E18)

Cites Work

• A group action on derangements
• The \(\gamma\)-positivity of basic Eulerian polynomials via group actions
• Eulerian quasisymmetric functions
• On some generalized \(q\)-Eulerian polynomials
• Gamma-positivity in combinatorics and geometry
• Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers
• On the joint distribution of cyclic valleys and excedances over conjugacy classes of \(\mathfrak{S}_n\)
• Actions on permutations and unimodality of descent polynomials
• Dynamical algebraic combinatorics and the homomesy phenomenon
• Runs, Slides and Moments
• Homomesies on permutations: An analysis of maps and statistics in the FindStat database

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