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  • 2003.13632v1

    Final published version, 1.78 MB, PDF document

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SLE scaling limits for a Laplacian growth model

Research output: Contribution to journalJournal article

Unpublished
<mark>Journal publication date</mark>30/03/2020
<mark>Journal</mark>arXiv
Number of pages38
Publication statusUnpublished
Original languageEnglish

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