Coexistence in a random growth model with competition

DOI10.1214/20-ECP304zbMath1442.60105arXiv1907.03717MaRDI QIDQ2183128

Shane Turnbull, Amanda G. Turner

Publication date: 26 May 2020

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03717

zbMATH Keywords

scaling limitsergodic limitsrandom growth modelsHastings-Levitov

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional limit theorems; invariance principles (60F17)

Cites Work

• Unnamed Item
• Unnamed Item
• Fluctuation results for Hastings-Levitov planar growth
• Hitting probabilities of random walks on \({\mathbb{Z}}^ d\)
• Hastings-Levitov aggregation in the small-particle limit
• Laplacian growth as one-dimensional turbulence
• One-dimensional scaling limits in a planar Laplacian random growth model
• Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes