A parking function on $[n]$ creates a permutation in $S_n$ via the order in which the $n$ cars appear in the $n$ parking spaces. Placing the uniform probability measure on the set of parking functions on $[n]$ induces a probability measure on $S_n$. We initiate a study of some properties of this distribution.
A note on the distribution of the maximum of a set of Poisson random variables
Unseparated pairs and fixed points in random permutations
Zeros of random tropical polynomials, random polytopes and stick-breaking
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