HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

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

Files

ddla.pdf
Files produced by the author(s)

Identifiers

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

Collections

Citation

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

Share

Metrics

Record views

71

Files downloads

86