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Thomas Kahle: Limit theorems for permutation statistics

Time: Tue 2023-03-21 10.15

Location: 3721, Lindstedtsvägen 25, and Zoom

Video link: Meeting ID: 621 8808 6001

Participating: Thomas Kahle (University of Magdeburg)

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It has been long known that the number of descents of a random uniform permutation satisfies a central limit theorem when the size of the permutation group grows. We survey some new limit theorems, where for example, descents are replaced by more interesting statistics, or the permutation group is replaced by a finite Coxeter group, or instead of a central limit theorem, one proves a Gumbel limit of an extreme value statistics.