ONE-DIMENSIONAL LONG-RANGE DIFFUSION LIMITED AGGREGATION II: THE TRANSIENT CASE

• 成果类型: Article
• 署名作者: Amir, Gideon; Angel, Omer; Kozma, Gady
• 署名单位: Bar Ilan University; University of British Columbia; Weizmann Institute of Science
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/16-AAP1248
• 发表日期: 2017
• 页码: 1886-1922
• 关键词: random-walks

摘要

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.