4 papers
On statistics of prime parking functions, Łukasiewicz paths, and quasisymmetric functions
Pamela E. Harris, Selvi Kara, Erin McNicholas +2
We recall that a parking function of length is said to be prime if removing any instance of 1 yields a parking function of length . In this article, we study prime parking…
Limit distributions for cycles of random parking functions
J. E. Paguyo, Mei Yin
We study the asymptotic behavior of cycles of uniformly random parking functions. Our results are multifold: we obtain an explicit formula for the number of parking functions with…
Probabilistic -Parking Functions
Pamela E. Harris, Rodrigo Ribeiro, Mei Yin
In this article, we establish new results on the probabilistic parking model (introduced by Durmíc, Han, Harris, Ribeiro, and Yin) with cars and parking spots and probabili…
Fixed points and cycles of parking functions
Martin Rubey, Mei Yin
A parking function of length is a sequence of positive integers such that if is the increasing rearrangement of , th…