Limit theorems for 2D invasion percolation

DOI10.1214/10-AOP641zbMath1251.60071arXiv1005.5696OpenAlexW2160102232MaRDI QIDQ428135

Michael Damron, Artëm Sapozhnikov

Publication date: 19 June 2012

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.5696

zbMATH Keywords

correlation lengthinvasion percolationcritical percolationscaling relationscentral limit theorem.invasion pondsnear critical percolation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items

The scaling limits of the minimal spanning tree and invasion percolation in the plane, Two-dimensional volume-frozen percolation: deconcentration and prevalence of mesoscopic clusters, Some toy models of self-organized criticality in percolation, Multisource invasion percolation on the complete graph

Cites Work

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• Exponential growth of ponds in invasion percolation on regular trees
• A central limit theorem for ``critical first-passage percolation in two dimensions
• Outlets of 2D invasion percolation and multiple-armed incipient infinite clusters
• Relations between invasion percolation and critical percolation in two dimensions
• Near-critical percolation in two dimensions
• Invasion percolation and the incipient infinite cluster in 2D
• Scaling relations for 2D-percolation
• The size of a pond in 2D invasion percolation
• Invasion percolation on regular trees
• Central Limit Theorems for dependent variables. I
• Capillary displacement and percolation in porous media
• Percolation
• Convergence of Distributions Generated by Stationary Stochastic Processes
• A martingale approach in the study of percolation clusters on the \(\mathbb{Z}^d\) lattice