22 citations · 41 across the 6 of their papers we have counts for
6 papers
Multiple-Layer Parking with Screening
Sjoert Fleurke, Aernout C. D. van Enter
In this article a multilayer parking system with screening of size n=3 is studied with a focus on the time-dependent particle density. We prove that the asymptotic limit of the par…
Analytical Results for a Small Multiple-layer Parking System
Sjoert Fleurke, Aernout C. D. van Enter
in this article a multilayer parking system of size n=3 is studied. We prove that the asymptotic limit of the particle density in the center approaches a maximum of 1/2 in higher l…
Dependent particle deposition on a graph: concentration properties of the height profile
S. R. Fleurke, M. Formentin, C. Kuelske
We present classes of models in which particles are dropped on an arbitrary fixed finite connected graph, obeying adhesion rules with screening. We prove that there is an invariant…
Multilayer parking with screening on a random tree
S. R. Fleurke, C. Kuelske
In this paper we present a multilayer particle deposition model on a random tree. We derive the time dependent densities of the first and second layer analytically and show that in…
A second row Parking Paradox
S. R. Fleurke, C. Kuelske
We consider two variations of the discrete car parking problem where at every vertex of the integers a car arrives with rate one, now allowing for parking in two lines. a) The car…
Parking on a Random Tree
H. Dehling, S. R. Fleurke, C. Kuelske
Consider an infinite tree with random degrees, i.i.d. over the sites, with a prescribed probability distribution with generating function G(s). We consider the following variation…