Diffusion-limited aggregation on the hyperbolic plane

Ronen Eldan

doi:10.1214/14-AOP928

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Home > Journals > Ann. Probab. > Volume 43 > Issue 4 > Article

July 2015 Diffusion-limited aggregation on the hyperbolic plane

Ronen Eldan

Ann. Probab. 43(4): 2084-2118 (July 2015). DOI: 10.1214/14-AOP928

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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.