The size of the boundary in first-passage percolation

DOI10.1214/18-AAP1388zbMath1402.60127arXiv1709.09613OpenAlexW2962783355MaRDI QIDQ1617162

Jack Hanson, Wai-Kit Lam, Michael Damron

Publication date: 7 November 2018

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

Full work available at URL: https://arxiv.org/abs/1709.09613

zbMATH Keywords

boundaryEden modellimit shapefirst-passage percolation

Mathematics Subject Classification ID

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

Related Items (1)

Topology and local geometry of the Eden model

Cites Work

• Some limit theorems for percolation processes with necessary and sufficient conditions
• Approximation of subadditive functions and convergence rates in limiting-shape results
• Asymptotics for \(2D\) critical first passage percolation
• On the chemical distance for supercritical Bernoulli percolation
• 50 Years of First-Passage Percolation
• The expected perimeter in Eden and related growth processes
• Percolation
• Boundary-connectivity via graph theory
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