Some remarks on Laplacian growth
type: Item
instance of: scholarly article
title: Some remarks on Laplacian growth
zbMATH Open document ID: 1077.60040
author: Steffen Rohde
author: Michel Zinsmeister
published in: Topology and its Applications
publication date: 2005-09-22T00:00:00Z
review text: The Hastings-Levitov process HL\((\alpha)\) describes planar random compact subsets by means of random compositions of conformal maps. The authors prove the existence of the scaling limit HL\((0)\) and show that the limit sets are one-dimensional. They also give estimates for the dimension of HL\((\alpha)\) for \(0 < \alpha \leq 2,\) and discuss scaling limits of deterministic variants.
Mathematics Subject Classification ID: 60G99
zbMATH DE Number: 2207428
zbMATH Keywords: Hele-Shaw
zbMATH Keywords: Hastings-Levitov
zbMATH Keywords: DLA
zbMATH Keywords: Random conformal map
zbMATH Keywords: Random composition
reviewed by: B. L. S. Prakasa Rao
MaRDI profile type: Publication
full work available at URL: j.topol.2004.08.013
OpenAlex ID: W2050060905
cites work: Laplacian growth as one-dimensional turbulence
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cites work: Successive Coefficients of Univalent Functions
cites work: Variation of the conformal radius
cites work: Q5179675
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DOI: 10.1016/J.TOPOL.2004.08.013
description: scientific article