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  • 2003.13632v1

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SLE scaling limits for a Laplacian growth model

Research output: Contribution to Journal/Magazine › Journal article

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SLE scaling limits for a Laplacian growth model. / Higgs, Frankie.
In: arXiv, 30.03.2020.

Research output: Contribution to Journal/Magazine › Journal article

Harvard

Higgs, F 2020, 'SLE scaling limits for a Laplacian growth model', arXiv. <https://arxiv.org/abs/2003.13632>

APA

Higgs, F. (2020). SLE scaling limits for a Laplacian growth model. Unpublished. https://arxiv.org/abs/2003.13632

Vancouver

Higgs F. SLE scaling limits for a Laplacian growth model. arXiv. 2020 Mar 30.

Author

Higgs, Frankie. / SLE scaling limits for a Laplacian growth model. In: arXiv. 2020.

Bibtex

@article{849cfe70a9f54757a26be39873966180,
title = "SLE scaling limits for a Laplacian growth model",
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. ",
keywords = "Probability, complex variables, 60F99 (Primary) 60D05, 30C45 (Secondary)",
author = "Frankie Higgs",
note = "38 pages, 5 figures",
year = "2020",
month = mar,
day = "30",
language = "English",
journal = "arXiv",

}

RIS

TY - JOUR

T1 - SLE scaling limits for a Laplacian growth model

AU - Higgs, Frankie

N1 - 38 pages, 5 figures

PY - 2020/3/30

Y1 - 2020/3/30

N2 - 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.

AB - 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.

KW - Probability

KW - complex variables

KW - 60F99 (Primary) 60D05, 30C45 (Secondary)

M3 - Journal article

JO - arXiv

JF - arXiv

ER -