Fluctuation results for Hastings-Levitov planar growth

DOI10.1007/s00440-015-0688-7zbMath1360.60074arXiv1506.04728OpenAlexW2964147367MaRDI QIDQ510272

Vittoria Silvestri

Publication date: 17 February 2017

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

Full work available at URL: https://arxiv.org/abs/1506.04728

zbMATH Keywords

Gaussian processstochastic fractional heat equationfractional Gaussian fieldHastings-Levitov clusterssmall particle limit

Mathematics Subject Classification ID

Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Functional limit theorems; invariance principles (60F17) Capacity and harmonic measure in the complex plane (30C85)

Related Items (13)

Scaling limit of the odometer in divisible sandpiles ⋮ Coexistence in a random growth model with competition ⋮ Metric growth dynamics in Liouville quantum gravity ⋮ Scaling limits for planar aggregation with subcritical fluctuations ⋮ Scaling limits of anisotropic growth on logarithmic time-scales ⋮ Stability of regularized Hastings-Levitov aggregation in the subcritical regime ⋮ Scaling limits in divisible sandpiles: a Fourier multiplier approach ⋮ Interplay of analysis and probability in applied mathematics. Abstracts from the workshop held February 11--17, 2018 ⋮ Constructing fractional Gaussian fields from long-range divisible sandpiles on the torus ⋮ Scaling limits and fluctuations for random growth under capacity rescaling ⋮ Multi-particle diffusion limited aggregation ⋮ One-dimensional scaling limits in a planar Laplacian random growth model ⋮ Growth of stationary Hastings-Levitov

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