Ross G. Pinsky

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20232025

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2 papers · 1 filter

math.CO2024

Longest subsequence for certain repeated up/down patterns in random permutations avoiding a pattern of length three

Ross G. Pinsky

Let $S_{n}$ denote the set of permutations of $[n]$ and let $σ = σ_{1} \dots σ_{n} \in S_{n}$ . For a subsequence ${σ_{i_{j}}}_{j = 1}^{k}$ of ${σ_{i}}_{i = 1}^{n}$ of length $k \geq 2$ , construct the ``u…

math.PR2024

The distribution on permutations induced by a random parking function

Ross G. Pinsky

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…