Abstract
We examine diffusion-limited aggregation for a one-dimensional random walk with long jumps.We achieve upper and lower bounds on the growth rate of the aggregate as a function of the number of moments a single step of the walk has. In this paper, we handle the case of transient walks.
| Original language | English |
|---|---|
| Pages (from-to) | 1886-1922 |
| Number of pages | 37 |
| Journal | Annals of Applied Probability |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 2017 |
Bibliographical note
Publisher Copyright:© 2017 Institute of Mathematical Statistics.
Keywords
- Diffusion limited aggregation
- Growth process
- Harmonic measure
- Transient random walk