Diffusion-limited aggregation on the hyperbolic plane
Probability
2015-09-10 v4 Mathematical Physics
Metric Geometry
math.MP
Abstract
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.
Cite
@article{arxiv.1306.3129,
title = {Diffusion-limited aggregation on the hyperbolic plane},
author = {Ronen Eldan},
journal= {arXiv preprint arXiv:1306.3129},
year = {2015}
}
Comments
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)