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Directed Diffusion-Limited Aggregation

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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Preprints, Working Papers, ...
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-01078294
Contributor : Sébastien Martineau Connect in order to contact the contributor
Submitted on : Wednesday, December 16, 2015 - 9:45:25 PM
Last modification on : Wednesday, November 20, 2019 - 7:49:06 AM
Long-term archiving on: : Saturday, April 29, 2017 - 5:14:51 PM

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  • HAL Id : ensl-01078294, version 2
  • ARXIV : 1411.3667

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

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