Corpus ID: 232428060

Parking functions: From combinatorics to probability

@article{Kenyon2021ParkingFF,
  title={Parking functions: From combinatorics to probability},
  author={R. Kenyon and Mei Yin},
  journal={arXiv: Combinatorics},
  year={2021}
}
Suppose that $m$ drivers each choose a preferred parking space in a linear car park with $n$ spots. In order, each driver goes to their chosen spot and parks there if possible, and otherwise takes the next available spot if it exists. If all drivers park successfully, the sequence of choices is called a parking function. Classical parking functions correspond to the case $m=n$; we study here combinatorial and probabilistic aspects of this generalized case. We construct a family of bijections… Expand

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