Convex hulls of planar random walks with drift

DOI10.1090/S0002-9939-2014-12239-8zbMath1311.60052arXiv1301.4059MaRDI QIDQ5496266

Andrew R. Wade, Chang Xu

Publication date: 30 January 2015

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

Full work available at URL: https://arxiv.org/abs/1301.4059

zbMATH Keywords

central limit theoremconvex hullsplanar random walks

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Related Items (10)

Convex hulls of multidimensional random walks ⋮ Analysis of the smoothly amnesia-reinforced multidimensional elephant random walk ⋮ Asymptotic shape of the concave majorant of a Lévy process ⋮ How long is the convex minorant of a one-dimensional random walk? ⋮ The convex hull of a planar random walk: perimeter, diameter, and shape ⋮ Convex hulls of random walks and their scaling limits ⋮ Mean perimeter and mean area of the convex hull over planar random walks ⋮ On the center of mass of the elephant random walk ⋮ Large deviations of convex hulls of planar random walks and Brownian motions ⋮ Convex hulls of stable random walks

Cites Work

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• Random convex hulls and extreme value statistics
• The Bohnenblust-Spitzer algorithm and its applications
• The Circumference of a Convex Polygon
• Convex Hulls of Random Walks
• A Combinatorial Lemma for Complex Numbers

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