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- W4385643478 abstract "Baxter permutations originally arose in studying common fixed points of two commuting continuous functions. In 2015, Dilks proposed a conjectured bijection between Baxter permutations and non-intersecting triples of lattice paths in terms of inverse descent bottoms, descent positions and inverse descent tops. We prove this bijectivity conjecture by investigating its connection with the Françon–Viennot bijection. As a result, we obtain a permutation interpretation of the (t,q)-analog of the Baxter numbers1[n+11]q[n+12]q∑k=0n−1q3(k+12)[n+1k]q[n+1k+1]q[n+1k+2]qtk, where [nk]q denote the q-binomial coefficients." @default.
- W4385643478 created "2023-08-08" @default.
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- W4385643478 date "2023-11-01" @default.
- W4385643478 modified "2023-10-17" @default.
- W4385643478 title "Proof of Dilks' bijectivity conjecture on Baxter permutations" @default.
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- W4385643478 doi "https://doi.org/10.1016/j.jcta.2023.105796" @default.
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