Permutations with given peak set
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Publication:5404323
zbMath1295.05008arXiv1209.0693MaRDI QIDQ5404323
Krzysztof Burdzy, Sara C. Billey, Bruce E. Sagan
Publication date: 24 March 2014
Full work available at URL: https://arxiv.org/abs/1209.0693
Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05)
Related Items (24)
Peaks on Graphs ⋮ The peak statistics on simsun permutations ⋮ Central limit theorem for peaks of a random permutation in a fixed conjugacy class of \(S_n\) ⋮ Pinnacle set properties ⋮ Wilf equivalence relations for consecutive patterns ⋮ Parking Functions: Choose Your Own Adventure ⋮ Floodings of metric graphs ⋮ Pinnacle sets of signed permutations ⋮ Roots of descent polynomials and an algebraic inequality on hook lengths ⋮ FINITELY DEPENDENT COLORING ⋮ Counting signed permutations by their alternating runs ⋮ A proof of the peak polynomial positivity conjecture ⋮ Some coefficient sequences related to the descent polynomial ⋮ A necessary condition for c-Wilf equivalence ⋮ A proof of the peak polynomial positivity conjecture ⋮ Descent polynomials ⋮ A formula for enumerating permutations with a fixed pinnacle set ⋮ The pinnacle set of a permutation ⋮ Admissible pinnacle orderings ⋮ On \(q\)-analogs of descent and peak polynomials ⋮ Descent polynomials, peak polynomials and an involution on permutations ⋮ Cyclic pattern containment and avoidance ⋮ Sorting permutations with fixed pinnacle set ⋮ On meteors, earthworms and wimps
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