4 papers · 1 filter
Inversions in parking functions
Kyle Celano, Jennifer Elder, Kimberly P. Hadaway +3
In this paper, we obtain a q-exponential generating function for inversions on parking functions via symmetric function theory and also through a direct bijection to rooted labeled…
Statistics on -interval parking functions
Kyle Celano, Jennifer Elder, Kimberly P. Hadaway +4
The displacement of a car with respect to a parking function is the number of spots it must drive past its preferred spot in order to park. An -interval parking function is o…
Enumerating Flat Fubini Rankings
Kenny Barrese, Jennifer Elder, Pamela E. Harris +1
Recall that the set of Fubini rankings on competitors consists of the -tuples that encode the possible rankings of competitors in a competition allowing ties. Moreover,…
A Probabilistic Parking Process and Labeled IDLA
Pamela E. Harris, Thiago Holleben, J. Carlos Martínez Mori +3
In 1966, Konheim and Weiss [33] introduced a now classical parking protocol. The deterministic process and its resultant objects, known as parking functions, have since become a fa…