2 citations · 7 across the 7 of their papers we have counts for
7 papers
Pattern-avoiding stabilized-interval-free permutations
Daniel Birmajer, Juan B. Gil, Jordan O. Tirrell +1
In this paper, we study pattern avoidance for stabilized-interval-free (SIF) permutations. These permutations are contained in the set of indecomposable permutations and in the set…
On some combinatorial sequences associated to invariant theory
Alin Bostan, Jordan Tirrell, Bruce W. Westbury +1
We study the enumerative and analytic properties of some sequences constructed using tensor invariant theory. The octant sequences are constructed from the exceptional Lie group $G…
On sequences associated to the invariant theory of rank two simple Lie algebras
Alin Bostan, Jordan Tirrell, Bruce W. Westbury +1
We study two families of sequences, listed in the On-Line Encyclopedia of Integer Sequences (OEIS), which are associated to invariant theory of Lie algebras. For the first family,…
Lucas atoms
Bruce E. Sagan, Jordan Tirrell
Given two variables and , the associated sequence of Lucas polynomials is defined inductively by , , and for . An integer…
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…
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…