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arXiv · 2104.05542

Positive hulls of random walks and bridges

Thomas Godland·Zakhar Kabluchko
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Abstract

We study random convex cones defned as positive hulls of $d$-dimensional random walks and bridges. We compute expectations of various geometric functionals of these cones such as the number of $k$-dimensional faces and the sums of conic quermassintegrals of their $k$-dimensional faces. These expectations are expressed in terms of Stirling numbers of both kinds and their $B$-analogues.

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Thomas Godland, Zakhar Kabluchko. 2021-04-12. Positive hulls of random walks and bridges. https://arxiv.org/abs/2104.05542

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