One-dimensional long-range diffusion limited aggregation ii: the transient case

Authors
Amir, Gideon Angel, Omer Kozma, Gady
Citation
Amir, Gideon et al., One-dimensional long-range diffusion limited aggregation ii: the transient case, Annals of applied probability , 27(3), 2017, pp. 1886-1922
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
27
Issue
3
Year of publication
2017
Pages
1886 - 1922
Database
ACNP
SICI code
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.