22 citations
4 papers
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…
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…