Scaling limits and fluctuations for random growth under capacity rescaling

DOI10.1214/20-AIHP1104zbMath1472.60045arXiv1907.09321OpenAlexW3160281476MaRDI QIDQ2041833

George Liddle, Amanda G. Turner

Publication date: 23 July 2021

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/1907.09321

zbMATH Keywords

phase transitionsfluctuationsscaling limitsplanar random growth

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) General theory of conformal mappings (30C35) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (5)

SLE scaling limits for a Laplacian random growth model ⋮ Scaling limits for planar aggregation with subcritical fluctuations ⋮ Scaling limits of anisotropic growth on logarithmic time-scales ⋮ Extracting subsets maximizing capacity and folding of random walks ⋮ Stability of regularized Hastings-Levitov aggregation in the subcritical regime

Cites Work

• Unnamed Item
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• Fluctuation results for Hastings-Levitov planar growth
• Hastings-Levitov aggregation in the small-particle limit
• On tail probabilities for martingales
• Dependent central limit theorems and invariance principles
• Laplacian growth as one-dimensional turbulence
• Small-particle limits in a regularized Laplacian random growth model
• Some remarks on Laplacian growth
• Probability

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