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arXiv · 1811.03923

Central limit theorems for patterns in multiset permutations and set partitions

Valentin Féray
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Abstract

We use the recently developed method of weighted dependency graphs to prove central limit theorems for the number of occurrences of any fixed pattern in multiset permutations and in set partitions. This generalizes results for patterns of size 2 in both settings, obtained by Canfield, Janson and Zeilberger and Chern, Diaconis, Kane and Rhoades, respectively.

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Valentin Féray. 2019-05-23. Central limit theorems for patterns in multiset permutations and set partitions. https://doi.org/10.1214/19-aap1502

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