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arXiv · 1804.06071

Patterns in random permutations avoiding some sets of multiple patterns

Svante Janson
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Abstract

We consider a random permutation drawn from the set of permutations of length $n$ that avoid some given set of patterns of length 3. We show that the number of occurrences of another pattern $\sigma$ has a limit distribution, after suitable scaling. In several cases, the number is asymptotically normal; this contrasts to the cases of permutations avoiding a single pattern of length 3 studied in earlier papers.

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Svante Janson. 2018-04-17. Patterns in random permutations avoiding some sets of multiple patterns. https://arxiv.org/abs/1804.06071

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