68 citations · 203 across the 58 of their papers we have counts for
8 papers · 2 filters
Permutation Invariant Parking Assortments
Douglas M. Chen, Pamela E. Harris, J. Carlos Martínez Mori +2
We introduce parking assortments, a generalization of parking functions with cars of assorted lengths. In this setting, there are cars of lengths $\mathbf{y}=(y_1,…
Probabilistic Parking Functions
Irfan Durmić, Alex Han, Pamela E. Harris +2
We consider the notion of classical parking functions by introducing randomness and a new parking protocol, as inspired by the work presented in the paper ``Parking Functions: Choo…
On Flattened Parking Functions
Jennifer Elder, Pamela E. Harris, Zoe Markman +2
A permutation of length is called a flattened partition if the leading terms of maximal chains of ascents (called runs) are in increasing order. We analogously define flattened…
On the Limiting Vacillating Tableaux for Integer Sequences
Zhanar Berikkyzy, Pamela E. Harris, Anna Pun +2
A fundamental identity in the representation theory of the partition algeba is for , where ranges over integer partitions of , is th…
Partial permutohedra
Roger E. Behrend, Federico Castillo, Anastasia Chavez +4
Partial permutohedra are lattice polytopes which were recently introduced and studied by Heuer and Striker. For positive integers and , the partial permutohedron $\mathcal{P…
On the Outcome Map of MVP Parking Functions: Permutations Avoiding 321 and 3412, and Motzkin Paths
Pamela E. Harris, Brian M. Kamau, J. Carlos Martínez Mori +1
We introduce a new parking procedure called MVP parking in which cars sequentially enter a one-way street with a preferred parking spot from the parking spots on the street…
On Parking Functions and The Tower of Hanoi
Yasmin Aguillon, Dylan Alvarenga, Pamela E. Harris +6
The displacement of a parking function measures the total difference between where cars want to park and where they ultimately park. In this article, we prove that the set of parki…
Broken Bracelets and Kostant's Partition Function
Mark Curiel, Elizabeth Gross, Pamela E. Harris
Inspired by the work of Amdeberhan, Can, and Moll on broken necklaces, we define a broken bracelet as a linear arrangement of marked and unmarked vertices and introduce a generaliz…