3 papers
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.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…
math.CO2023
Complexity Function of Jammed Configurations of Rydberg Atoms
Tomislav Došlić, Mate Puljiz, Stjepan Šebek +1
In this article, we determine the complexity function (configurational entropy) of jammed configurations of Rydberg atoms on a one-dimensional lattice. Our method consists of provi…