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arXiv · 1306.1054

Analytical Results for a Small Multiple-layer Parking System

Sjoert Fleurke·Aernout C. D. van Enter
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Abstract

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 layers. This means a significant increase of capacity compared to the first layer where this value is 1/3. This is remarkable because the process is solely driven by randomness. We conjecture that the results applies to all finite parking systems with n larger or equal than 2.

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Sjoert Fleurke, Aernout C. D. van Enter. 2013-06-05. Analytical Results for a Small Multiple-layer Parking System. https://arxiv.org/abs/1306.1054

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