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2013 Internal DLA in higher dimensions
David Jerison, Lionel Levine, Scott Sheffield
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Electron. J. Probab. 18: 1-14 (2013). DOI: 10.1214/EJP.v18-3137


Let $A(t)$ denote the cluster produced by internal diffusion limited aggregation (internal DLA) with $t$ particles in dimension $d \geq 3$. We show that $A(t)$ is approximately spherical, up to an $O(\sqrt{\log t})$ error.


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David Jerison. Lionel Levine. Scott Sheffield. "Internal DLA in higher dimensions." Electron. J. Probab. 18 1 - 14, 2013.


Accepted: 14 November 2013; Published: 2013
First available in Project Euclid: 4 June 2016

zbMATH: 1290.60051
MathSciNet: MR3141799
Digital Object Identifier: 10.1214/EJP.v18-3137

Primary: 60G50
Secondary: 60K35 , 82C24

Keywords: discrete harmonic function , internal diffusion limited aggregation , martingale , mean value property , sublogarithmic fluctuations

Vol.18 • 2013
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