One-dimensional long-range Diffusion Limited Aggregation II: the transient case
Probability
2013-06-20 v1
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.
Cite
@article{arxiv.1306.4654,
title = {One-dimensional long-range Diffusion Limited Aggregation II: the transient case},
author = {Gideon Amir and Omer Angel and Gady Kozma},
journal= {arXiv preprint arXiv:1306.4654},
year = {2013}
}
Comments
30 pages, 3 phase transitions