One-dimensional long-range diffusion limited aggregation II: The transient case

Gideon Amir, Omer Angel, Gady Kozma

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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.

Original languageEnglish
Pages (from-to)1886-1922
Number of pages37
JournalAnnals of Applied Probability
Issue number3
StatePublished - Jun 2017

Bibliographical note

Publisher Copyright:
© 2017 Institute of Mathematical Statistics.


  • Diffusion limited aggregation
  • Growth process
  • Harmonic measure
  • Transient random walk


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