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arXiv · 0709.1276

Exponential clogging time for a one dimensional DLA

Itai Benjamini·Christopher Hoffman
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Abstract

When considering DLA on a cylinder it is natural to ask how many particles it takes to clog the cylinder, e.g. modeling clogging of arteries. In this note we formulate a very simple DLA clogging model and establish an exponential lower bound on the number of particles arriving before clogging appears.

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Itai Benjamini, Christopher Hoffman. 2007-09-09. Exponential clogging time for a one dimensional DLA. https://doi.org/10.1007/s10955-008-9557-4

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