Multilayer parking with screening on a random tree

Details Multilayer parking with screening on a random tree Multilayer parking with screening on a random tree

2009-11-05

arxiv.org/abs/0911.1065v1

Physics

Mathematical Physics

15 pages, 2 figures

Scientific paper

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 all trees the limiting density of the first layer exceeds the density in the second layer. We also provide a procedure to calculate higher layer densities and prove that random trees have a higher limiting density in the first layer than regular trees. Finally, we compare densities between the first and second layer and between regular and random trees.

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