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Universality for random permutations and some other groups

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  • Kammoun, Mohamed Slim

Abstract

We present a Markovian approach to prove universality results for general statistics on the symmetric group. We prove, in particular, that the number of occurrences of a vincular pattern satisfies a CLT for conjugation invariant random permutations with few cycles and we improve the results already known for the longest increasing subsequence. We give also a generalization to other random permutations and other sets having a similar structure to the symmetric group.

Suggested Citation

  • Kammoun, Mohamed Slim, 2022. "Universality for random permutations and some other groups," Stochastic Processes and their Applications, Elsevier, vol. 147(C), pages 76-106.
    • Handle: RePEc:eee:spapps:v:147:y:2022:i:c:p:76-106
    DOI: 10.1016/j.spa.2022.01.012
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