Internal diffusion-limited aggregation with uniform starting points

DOI10.1214/19-AIHP965zbMath1434.82062arXiv1707.03241MaRDI QIDQ2179242

Hugo Duminil-Copin, Itai Benjamini, Cyrille Lucas, Gady Kozma

Publication date: 12 May 2020

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.03241

zbMATH Keywords

harmonic measurerandom walkgrowth modelIDLA

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (2)

The bi-dimensional directed IDLA forest ⋮ From fractals in external DLA to internal DLA on fractals

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
• Construction of a short path in high-dimensional first passage percolation
• IDLA on the supercritical percolation cluster
• Containing internal diffusion limited aggregation
• Internal diffusion limited aggregation on discrete groups having exponential growth
• Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile
• Internal diffusion-limited aggregation on non-amenable graphs
• Internal diffusion limited aggregation
• Subdiffusive fluctuations for internal diffusion limited aggregation
• The limiting shape for drifted internal diffusion limited aggregation is a true heat ball
• Internal DLA and the Gaussian free field
• Logarithmic fluctuations for internal DLA
• Random Walk: A Modern Introduction

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