On the convex hull of two planar random walks
Daniela Ivanković, Tomislav Kralj, Nikola Sandrić, Stjepan Šebek
Published: 2024/3/26
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.