SLE scaling limits for a Laplacian growth model

Higgs, Frankie (2020) SLE scaling limits for a Laplacian growth model. arXiv. (Unpublished)

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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.