### Lah distribution: properties and applications

Probability Seminar

1st June 2022, 4:00 pm – 5:00 pm

Online, Zoom

Motivated by a problem arising in the analysis of convex hulls of high-dimensional random walks, we introduce a new class of discrete probability distributions, which we call Lah distributions, and which involve Stirling numbers of both kinds. We provide a combinatorial interpretation of the Lah distributions in terms of random compositions and records and prove various limit theorems for them. This talk is based on a recent joint work with Zakhar Kabluchko (Münster, Germany).

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