Internal diffusion limited aggregation on \(\mathbb{Z}'d\) (Q1610203)
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scientific article; zbMATH DE number 1783427
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Internal diffusion limited aggregation on \(\mathbb{Z}'d\) |
scientific article; zbMATH DE number 1783427 |
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Internal diffusion limited aggregation on \(\mathbb{Z}'d\) (English)
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19 August 2002
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\textit{P. Diaconis} and \textit{W. Fulton} [Rend. Semin. Mat., Torino 49, No.~1, 95-119 (1991; Zbl 0776.60128)] introduced a growth model on an infinite set associated with a Markov chain on that set. This model has been investigated for simple random walks on \(\mathbb{Z}^d\), in particular, the limiting shape of the cloud of points has been found. The present author extends these results to the case of centered and irreducible random walks on \(\mathbb{Z}^d\) under moment conditions. The non-centered case is also considered.
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