Diffusion-limited aggregation on the hyperbolic plane

Authors
Eldan, Ronen
Citation
Eldan, Ronen, Diffusion-limited aggregation on the hyperbolic plane, Annals of probability , 43(4), 2015, pp. 2084-2118
Journal title
Annals of probability → ACNP
ISSN journal
00911798
Volume
43
Issue
4
Year of publication
2015
Pages
2084 - 2118
Database
ACNP
SICI code
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.