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June 2017 One-dimensional long-range diffusion limited aggregation II: The transient case
Gideon Amir, Omer Angel, Gady Kozma
Ann. Appl. Probab. 27(3): 1886-1922 (June 2017). DOI: 10.1214/16-AAP1248

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.

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Gideon Amir. Omer Angel. Gady Kozma. "One-dimensional long-range diffusion limited aggregation II: The transient case." Ann. Appl. Probab. 27 (3) 1886 - 1922, June 2017. https://doi.org/10.1214/16-AAP1248

Information

Received: 1 July 2015; Revised: 1 July 2016; Published: June 2017
First available in Project Euclid: 19 July 2017

zbMATH: 1375.60035
MathSciNet: MR3678487
Digital Object Identifier: 10.1214/16-AAP1248

Subjects:
Primary: 60D05 , 60J45

Keywords: Diffusion limited aggregation , Growth process , harmonic measure , transient random walk

Rights: Copyright © 2017 Institute of Mathematical Statistics

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Vol.27 • No. 3 • June 2017
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