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math.PR2024
Convex hull of Brownian motion and Brownian bridge
Stjepan Šebek
In this article we study the convex hull spanned by the union of trajectories of a standard planar Brownian motion, and an independent standard planar Brownian bridge. We find exac…
math.PR2024
On the convex hull of two planar random walks
Daniela Ivanković, Tomislav Kralj, Nikola Sandrić +1
In this paper, we study the limiting behavior of the perimeter and diameter functionals of the convex hull spanned by the first steps of two planar random walks. As the main re…
math.CO2024
Predators and altruists arriving on jammed Riviera
Tomislav Došlić, Mate Puljiz, Stjepan Šebek +1
The Riviera model is a combinatorial model for a settlement along a coastline, introduced recently by the authors. Of most interest are the so-called jammed states, where no more h…