68 citations · 203 across the 58 of their papers we have counts for
7 papers · 2 filters
Counting -Naples parking functions through permutations and the -Naples area statistic
Laura Colmenarejo, Pamela E. Harris, Zakiya Jones +4
We recall that the -Naples parking functions of length (a generalization of parking functions) are defined by requiring that a car which finds its preferred spot occupied mu…
Tipsy cop and drunken robber: a variant of the cop and robber game on graphs
Pamela Harris, Erik Insko, Alicia Prieto-Langarica +2
Motivated by a biological scenario illustrated in the YouTube video \url{ https://www.youtube.com/watch?v=Z_mXDvZQ6dU} where a neutrophil chases a bacteria cell moving in random di…
A formula for enumerating permutations with a fixed pinnacle set
Alexander Diaz-Lopez, Pamela E. Harris, Isabella Huang +2
In 2017 Davis, Nelson, Petersen, and Tenner pioneered the study of pinnacle sets of permutations and asked whether there exists a class of operations, which applied to a permutatio…
On the asymptotic behavior of the -analog of Kostant's partition function
Pamela E. Harris, Margaret Rahmoeller, Lisa Schneider
Kostant's partition function counts the number of distinct ways to express a weight of a classical Lie algebra as a sum of positive roots of . We refer…
On Kostant's weight -multiplicity formula for
Rebecca E. Garcia, Pamela E. Harris, Marissa Loving +5
The -analog of Kostant's weight multiplicity formula is an alternating sum over a finite group, known as the Weyl group, whose terms involve the -analog of Kostant's partitio…
Parking Functions: Choose Your Own Adventure
Joshua Carlson, Alex Christensen, Pamela E. Harris +2
Warning. The reading of this paper will send you down many winding roads toward new and exciting research topics enumerating generalized parking functions. Buckle up!
Kostant's partition function and magic multiplex juggling sequences
Carolina Benedetti, Christopher R. H. Hanusa, Pamela E. Harris +2
Kostant's partition function is a vector partition function that counts the number of ways one can express a weight of a Lie algebra as a nonnegative integral linear…