Home > Research > Publications & Outputs > SLE scaling limits for a Laplacian growth model

Research

Associated organisational unit

Electronic data

  • 2003.13632v1

    Final published version, 1.78 MB, PDF document

    Available under license: CC BY-SA: Creative Commons Attribution-ShareAlike 4.0 International License

Links

Keywords

View graph of relations

SLE scaling limits for a Laplacian growth model

Research output: Contribution to Journal/Magazine › Journal article

Unpublished
<mark>Journal publication date</mark>30/03/2020
<mark>Journal</mark>arXiv
Number of pages38
Publication StatusUnpublished
<mark>Original language</mark>English

Abstract

We consider a model for planar random growth in which growth on the cluster is concentrated in areas of low harmonic measure. We find that when the concentration is sufficiently strong, the resulting cluster converges to an SLE$_4$ (Schramm-Loewner evolution) curve as the size of individual particles tends to 0.

Bibliographic note

38 pages, 5 figures