The bi-dimensional directed IDLA forest

DOI10.1214/22-aap1865zbMath1511.60142OpenAlexW4365476834MaRDI QIDQ6104026

Nicolas Chenavier, David Coupier, Arnaud Rousselle

Publication date: 5 June 2023

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/22-aap1865

zbMATH Keywords

random walkscluster growthinternal diffusion limited aggregationshape theoremsrandom trees and forests

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Cites Work

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• Directed Diffusion-Limited Aggregation
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• Internal DLA for cylinders
• Stochastic and Integral Geometry
• Random Walk: A Modern Introduction
• The 2D‐directed spanning forest is almost surely a tree
• Stationary Harmonic Measure as the Scaling Limit of Truncated Harmonic Measure
• Scaling limit of DLA on a long line segment
• Fluctuations for internal DLA on the comb

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