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math.CO2014★ 1 cited
Ascent sequences avoiding pairs of patterns
Andrew M. Baxter, Lara K. Pudwell
Ascent sequences were introduced by Bousquet-Melou et al. in connection with (2+2)-avoiding posets and their pattern avoidance properties were first considered by Duncan and Steing…
math.CO2010★ 5 cited
The Number of Inversions and the Major Index of Permutations are Asymptotically Joint-Independently Normal
Andrew Baxter, Doron Zeilberger
We use recurrences (alias difference equations) to prove the longstanding conjecture that the two most important permutation statistics, namely the number of inversions and the maj…