3 papers
math.CO2024
Enumerating runs, valleys, and peaks in Catalan words
Jean-Luc Baril, Pamela E. Harris, Kimberly J. Harry +2
We provide generating functions, formulas, and asymptotic expressions for the number of Catalan words based on the number of runs of ascents (descents), runs of weak ascents (desce…
math.CO2024
On the Lucky and Displacement Statistics of Stirling Permutations
Laura Colmenarejo, Aleyah Dawkins, Jennifer Elder +5
Stirling permutations are parking functions, and we investigate two parking function statistics in the context of these objects: lucky cars and displacement. Among our results, we…
math.CO2023
Counting Parking Sequences and Parking Assortments Through Permutations
Spencer J. Franks, Pamela E. Harris, Kimberly Harry +2
Parking sequences (a generalization of parking functions) are defined by specifying car lengths and requiring that a car attempts to park in the first available spot after its pref…