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Article Dans Une Revue “Записки научных семинаров ПОМИ” Zap. Nauchn. Semin. POMI. Année : 2021

Convex hulls of several multidimensional Gaussian random walks

Résumé

We derive explicit formulae for the expected volume and the expected number of facets of the convex hull of several multidimensional Gaussian random walks in terms of the Gaussian persistence probabilities. Special cases include the already known results about the convex hull of a single Gaussian random walk and the $d$-dimensional Gaussian polytope with or without the origin.

Dates et versions

hal-03901004 , version 1 (15-12-2022)

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Julien Randon-Furling, Dmitry Zaporozhets. Convex hulls of several multidimensional Gaussian random walks. “Записки научных семинаров ПОМИ” Zap. Nauchn. Semin. POMI. , 2021. ⟨hal-03901004⟩
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