Internal Diffusion Limited Aggregation on discrete groups having exponential growth

Details Internal Diffusion Limited Aggregation on discrete groups having exponential growth Internal Diffusion Limited Aggregation on discrete groups having exponential growth

2005-07-28

arxiv.org/abs/math/0507582v1

Mathematics

Probability

20 pages

Scientific paper

The Internal Diffusion Limited Aggregation has been introduced by Diaconis and Fulton in 1991. It is a growth model defined on an infinite set and associated to a Markov chain on this set. We focus here on sets which are finitely generated groups with exponential growth. We prove a shape theorem for the Internal DLA on such groups associated to symmetric random walks. For that purpose, we introduce a new distance associated to the Green function, which happens to have some interesting properties. In the case of homogeneous trees, we also get the right order for the fluctuations of that model around its limiting shape.

Affiliated with

Also associated with

No associations

Rating

Internal Diffusion Limited Aggregation on discrete groups having exponential growth does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Internal Diffusion Limited Aggregation on discrete groups having exponential growth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Internal Diffusion Limited Aggregation on discrete groups having exponential growth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-46716