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Limit theorems for monolayer ballistic deposition in the continuum

Mathew D. Penrose
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Abstract

We consider a deposition model in which balls rain down at random towards a 2-dimensional surface, roll downwards over existing adsorbed balls, are adsorbed if they reach the surface, and discarded if not. We prove a spatial law of large numbers and central limit theorem for the ultimate number of balls adsorbed onto a large toroidal surface, and also for the number of balls adsorbed on the restriction to a large region of an infinite surface.

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BibTeXRIS

Mathew D. Penrose. 2001-06-08. Limit theorems for monolayer ballistic deposition in the continuum. https://arxiv.org/abs/cond-mat/0106163

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