5 citations · 9 across the 3 of their papers we have counts for
4 papers
Completing the Structural Analysis of the 2x4 Permutation Classes
Samuel Miner, Jay Pantone
We study the structure and enumeration of the final two 2x4 permutation classes, completing a research program that has spanned almost two decades. For both classes, careful struct…
Asymptotic distribution of fixed points of pattern-avoiding involutions
Samuel Miner, Douglas Rizzolo, Erik Slivken
For a variety of pattern-avoiding classes, we describe the limiting distribution for the number of fixed points for involutions chosen uniformly at random from that class. In parti…
Enumeration of several two-by-four classes
Sam Miner
We use catalytic variables to derive generating functions for the permutation classes , , and $Av(\textbf{4123},\t…
The Shape of Random Pattern-Avoiding Permutations
Sam Miner, Igor Pak
We initiate the study of limit shapes for random permutations avoiding a given pattern. Specifically, for patterns of length 3, we obtain delicate results on the asymptotics of dis…