Non-optimality of invaded geodesics in 2d critical first-passage percolation

DOI10.1007/978-3-030-60754-8_14zbMath1469.60319arXiv1912.06714OpenAlexW2995911114MaRDI QIDQ1983054

Michael Damron, David J. Harper

Publication date: 15 September 2021

Full work available at URL: https://arxiv.org/abs/1912.06714

zbMATH Keywords

invasion percolationnear-critical percolationfirst-passage percolation

Mathematics Subject Classification ID

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

Cites Work

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• Relations between invasion percolation and critical percolation in two dimensions
• Near-critical percolation in two dimensions
• Critical behavior of the two-dimensional first passage time
• A maximal inequality and dependent strong laws
• Invasion percolation and the incipient infinite cluster in 2D
• Asymptotics for \(2D\) critical first passage percolation
• Scaling relations for 2D-percolation
• 50 Years of First-Passage Percolation
• A note on percolation
• Percolation Probabilities on the Square Lattice

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