4 citations · 8 across the 4 of their papers we have counts for
6 papers
On a variant of Flory model
Tomislav Došlić, Mate Puljiz, Stjepan Šebek +1
We consider a one-dimensional variant of a recently introduced settlement planning problem in which houses can be built on finite portions of the rectangular integer lattice subjec…
Convex hulls of stable random walks
Wojciech Cygan, Nikola Sandrić, Stjepan Šebek
We consider convex hulls of random walks whose steps belong to the domain of attraction of a stable law in . We prove convergence of the convex hull in the space of a…
Packing density of combinatorial settlement planning models
Mate Puljiz, Stjepan Šebek, Josip Žubrinić
Recently, a combinatorial settlement planning model was introduced. The idea underlying the model is that the houses are randomly being built on a rectangular tract of land accordi…
Combinatorial settlement planning
Mate Puljiz, Stjepan Šebek, Josip Žubrinić
In this article, we consider a combinatorial settlement model on a rectangular grid where at least one side (east, south or west) of each house must be exposed to sunlight without…
Limit theorems for a stable sausage
Wojciech Cygan, Nikola Sandrić, Stjepan Šebek
In this article, we study fluctuations of the volume of a stable sausage defined via a -dimensional rotationally invariant -stable process. As the main results, we establish…
CLT for the capacity of the range of stable random walks
Wojciech Cygan, Nikola Sandrić, Stjepan Šebek
In this article, we establish a central limit theorem for the capacity of the range process for a class of -dimensional symmetric -stable random walks with the index satisfyi…