Convex hulls of multidimensional random walks

DOI10.1090/tran/7253zbMath1434.60060arXiv1506.07827OpenAlexW2963131411MaRDI QIDQ4586336

Dmitry Zaporozhets, Vladislav V. Vysotsky

Publication date: 13 September 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07827

zbMATH Keywords

convex hullorthoschemerandom walkrandom polytopeintrinsic volumepersistence probabilityWiener spiraldistribution-free probabilityspherical intrinsic volumeaverage surface areaaverage number of facespath-simplexuniform Tauberian theorem

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Extreme value theory; extremal stochastic processes (60G70) Sums of independent random variables; random walks (60G50) (n)-dimensional polytopes (52B11)

Related Items (7)

Positive hulls of random walks and bridges ⋮ The convex hull of a planar random walk: perimeter, diameter, and shape ⋮ Dini derivatives and regularity for exchangeable increment processes ⋮ On the center of mass of the elephant random walk ⋮ Conical tessellations associated with Weyl chambers ⋮ Large deviations of convex hulls of planar random walks and Brownian motions ⋮ Convex hulls of stable random walks

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