Lipschitz-continuity of time constant in generalized first-passage percolation

DOI10.1016/J.SPA.2024.104402zbMATH Open1544.60099MaRDI QIDQ6596207

Shuta Nakajima, Van Quyet Nguyen, Van Hao Can

Publication date: 2 September 2024

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

first-passage percolation

Mathematics Subject Classification ID

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

Cites Work

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• Weak shape theorem in first passage percolation with infinite passage times
• Sublinear variance in first-passage percolation for general distributions
• Surface order large deviations for Ising, Potts and percolation models
• The time constant for Bernoulli percolation is Lipschitz continuous strictly above \(p_c\)
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• Continuity of the time and isoperimetric constants in supercritical percolation
• On the chemical distance for supercritical Bernoulli percolation
• 50 Years of First-Passage Percolation
• The supercritical phase of percolation is well behaved
• The time constant of first-passage percolation on the square lattice
• On the continuity of the time constant of first-passage percolation
• Asymptotic shape for the chemical distance and first-passage percolation on the infinite Bernoulli cluster
• Regularity of the time constant for a supercritical Bernoulli percolation
• Comparison of limit shapes for Bernoulli first-passage percolation

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