SLE scaling limits for a Laplacian random growth model

DOI10.1214/21-AIHP1217zbMath1494.30027arXiv2003.13632OpenAlexW4287822982MaRDI QIDQ2157458

Frankie Higgs

Publication date: 22 July 2022

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/2003.13632

zbMATH Keywords

harmonic measurescaling limitsSchramm-Loewner evolutionconformal aggregation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Limit theorems in probability theory (60F99)

Related Items (2)

Scaling limits of anisotropic growth on logarithmic time-scales ⋮ Stability of regularized Hastings-Levitov aggregation in the subcritical regime

Cites Work

• Unnamed Item
• Unnamed Item
• Quantum Loewner evolution
• Construction of a short path in high-dimensional first passage percolation
• Rescaled Lévy-Loewner hulls and random growth
• Dependent central limit theorems and invariance principles
• Conformal invariance of planar loop-erased random walks and uniform spanning trees.
• Laplacian growth as one-dimensional turbulence
• Scaling limits and fluctuations for random growth under capacity rescaling
• One-dimensional scaling limits in a planar Laplacian random growth model
• Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
• Singular and Tangent Slit Solutions to the Löwner Equation
• The Loewner differential equation and slit mappings
• Aggregation in the plane and Loewner's equation.

This page was built for publication: SLE scaling limits for a Laplacian random growth model