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math.CO2018★ 1 cited
Hopping from Chebyshev polynomials to permutation statistics
Jordan O. Tirrell, Yan Zhuang
We prove various formulas which express exponential generating functions counting permutations by the peak number, valley number, double ascent number, and double descent number st…
math.CO2018★ 1 cited
A simple bijection for enhanced, classical, and 2-distant k-noncrossing partitions
Juan B. Gil, Jordan O. Tirrell
In this note, we give a simple extension map from partitions of subsets of [n] to partitions of [n+1], which sends -distant k-crossings to -distant k-crossings (and simil…