6 papers · 1 filter
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…
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…
On some discrete statistics of parking functions
Ari Cruz, Pamela E. Harris, Kimberly J. Harry +5
Recall that is a parking function if its nondecreasing rearrangement satisfies for all . In thi…
Interval and -interval Rational Parking Functions
Tomás Aguilar-Fraga, Jennifer Elder, Rebecca E. Garcia +12
Interval parking functions are a generalization of parking functions in which cars have an interval preference for their parking. We generalize this definition to parking functions…
Flattened Stirling Permutations
Adam Buck, Jennifer Elder, Azia A. Figueroa +3
Recall that a Stirling permutation is a permutation on the multiset such that any numbers appearing between repeated values of must be greater than …
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…