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- W2999778334 abstract "We prove various formulas which express exponential generating functions counting permutations by the peak number, valley number, double ascent number, and double descent number statistics in terms of the exponential generating function for Chebyshev polynomials, as well as cyclic analogues of these formulas for derangements. We give several applications of these results, including formulas for the (-1)-evaluation of some of these distributions. Our proofs are combinatorial and involve the use of monomino-domino tilings, the modified Foata-Strehl action (a.k.a. valley-hopping), and a cyclic analogue of this action due to Sun and Wang." @default.
- W2999778334 created "2020-01-23" @default.
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- W2999778334 date "2019-08-16" @default.
- W2999778334 modified "2023-09-30" @default.
- W2999778334 title "Hopping from Chebyshev Polynomials to Permutation Statistics" @default.
- W2999778334 doi "https://doi.org/10.37236/8413" @default.
- W2999778334 hasPublicationYear "2019" @default.
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