We consider an analogous version of the diffusion-limited aggregation model
defined on the hyperbolic plane. We prove that almost surely the aggregate
viewed at time infinity will have a positive density.Comment: Published at http://dx.doi.org/10.1214/14-AOP928 in the Annals of
  Probability (http://www.imstat.org/aop/) by the Institute of Mathematical
  Statistics (http://www.imstat.org

Eldan, Ronen

English

arXiv

We consider an analogous version of the Diffusion-Limited Aggregation model defined on the Hyper-bolic plane. We prove that almost surely, the aggregate viewed at time infinity will have a positive density

Diffusion-limited aggregation on the hyperbolic plane

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