A convergence rate for extended-source internal DLA in the plane

DOI10.1007/s11118-023-10102-8zbMath1540.60209MaRDI QIDQ6564505

David Darrow

Publication date: 1 July 2024

Published in: Potential Analysis (Search for Journal in Brave)

zbMATH Keywords

random walkgrowth modeldiscrete harmonic functioninternal diffusion limited aggregation

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Cites Work

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• From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models
• Sublogarithmic fluctuations for internal DLA
• Internal DLA in higher dimensions
• Scaling limits for internal aggregation models with multiple sources
• Solutions to the obstacle problem as Green potentials
• Internal diffusion limited aggregation
• An asymptotic expansion for the discrete harmonic potential
• Internal DLA and the Stefan problem.
• Subdiffusive fluctuations for internal diffusion limited aggregation
• Internal DLA and the Gaussian free field
• Logarithmic fluctuations for internal DLA
• Random Walk: A Modern Introduction

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