On One-Dimensional Multi-Particle Diffusion Limited Aggregation

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Scopus citations

Abstract

We prove that the one dimensional Multi-Particle Diffusion Limited Aggregation model has linear growth whenever the particle density exceeds 1 answering a question of Kesten and Sidoravicius. As a corollary we prove linear growth in all dimensions d when the particle density is at least 1.

Original languageEnglish (US)
Title of host publicationProgress in Probability
PublisherBirkhauser
Pages755-774
Number of pages20
DOIs
StatePublished - 2021

Publication series

NameProgress in Probability
Volume77
ISSN (Print)1050-6977
ISSN (Electronic)2297-0428

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Applied Mathematics
  • Mathematical Physics
  • Mathematics (miscellaneous)

Keywords

  • Diffusion Limited Aggregation
  • Interacting particle systems

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