On the convex hull of two planar random walks

Daniela Ivanković; Tomislav Kralj; Nikola Sandrić; Stjepan Šebek

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arXiv · 2403.17705

On the convex hull of two planar random walks

Daniela Ivanković·Tomislav Kralj·Nikola Sandrić·Stjepan Šebek

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Abstract

In this paper, we study the limiting behavior of the perimeter and diameter functionals of the convex hull spanned by the first $n$ steps of two planar random walks. As the main results, we obtain the strong law of large numbers and the central limit theorem for the perimeter and diameter of these random sets.

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Daniela Ivanković, Tomislav Kralj, Nikola Sandrić, Stjepan Šebek. 2024-03-26. On the convex hull of two planar random walks. https://arxiv.org/abs/2403.17705

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