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.
Bibliographical notePublisher Copyright:
© 2017 Institute of Mathematical Statistics.
- Diffusion limited aggregation
- Growth process
- Harmonic measure
- Transient random walk