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Thomas Kahle: Limit theorems for permutation statistics

Tid: Ti 2023-03-21 kl 10.15

Plats: 3721, Lindstedtsvägen 25, and Zoom

Videolänk: Meeting ID: 621 8808 6001

Medverkande: 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.