Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775424 | Advances in Applied Mathematics | 2017 | 31 Pages |
Abstract
We explore the link between combinatorics and probability generated by the question “What does a random parking function look like?” This gives rise to novel probabilistic interpretations of some elegant, known generating functions. It leads to new combinatorics: how many parking functions begin with i? We classify features (e.g., the full descent pattern) of parking functions that have exactly the same distribution among parking functions as among all functions. Finally, we develop the link between parking functions and Brownian excursion theory to give examples where the two ensembles differ.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Persi Diaconis, Angela Hicks,