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Directed Diffusion-Limited Aggregation

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Abstract

In this paper, we define a directed version of the Diffusion-Limited-Aggregation model. We present several equivalent definitions in finite volume and a definition in infinite volume. We obtain bounds on the speed of propagation of information in infinite volume and explore the geometry of the infinite cluster. We also explain how these results fit in a strategy for proving a shape theorem for this model.
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Dates and versions

ensl-01078294 , version 1 (28-10-2014)
ensl-01078294 , version 2 (16-12-2015)

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Sébastien Martineau. Directed Diffusion-Limited Aggregation. 2015. ⟨ensl-01078294v2⟩
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