Diffusion-limited aggregation on the hyperbolic plane

Eldan, Ronen ^[1]
1. [1] The Microsoft Research - University of Trento Centre for Computational and Systems Biology
  
  The Microsoft Research - University of Trento Centre for Computational and Systems Biology
  
  Trento, Italia
Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 43, Nº. 4, 2015, págs. 2084-2118
Idioma: inglés
DOI: 10.1214/14-AOP928
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Resumen
- 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.