Scaling limits for planar aggregation with subcritical fluctuations

DOI10.1007/s00440-022-01141-0zbMath1529.60066arXiv1902.01376OpenAlexW2913920546MaRDI QIDQ6085091

Vittoria Silvestri, Amanda G. Turner, James R. Norris

Publication date: 2 December 2023

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01376

zbMATH Keywords

random growth modelsLaplacian growth modelsplanar random growth processes

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (1)

Stability of regularized Hastings-Levitov aggregation in the subcritical regime

Cites Work

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• Classical and stochastic Laplacian growth
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• Hastings-Levitov aggregation in the small-particle limit
• Distribution function inequalities for martingales
• Laplacian growth as one-dimensional turbulence
• Scaling limits and fluctuations for random growth under capacity rescaling
• Growth of stationary Hastings-Levitov
• Small-particle limits in a regularized Laplacian random growth model
• One-dimensional scaling limits in a planar Laplacian random growth model
• Scaling limits of anisotropic Hastings-Levitov clusters
• Some remarks on Laplacian growth
• Aggregation in the plane and Loewner's equation.

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