Supercritical behaviors in first-passage percolation

DOI10.1016/0304-4149(95)00051-8zbMath0840.60090OpenAlexW1966888298MaRDI QIDQ1904546

Y. Zhang

Publication date: 30 June 1996

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

Full work available at URL: https://doi.org/10.1016/0304-4149(95)00051-8

zbMATH Keywords

first passage timefirst passage percolation

Mathematics Subject Classification ID

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

Related Items (12)

On the speed of convergence for two-dimensional first passage Ising percolation. ⋮ Size of a minimal cutset in supercritical first passage percolation ⋮ Geodesic length and shifted weights in first-passage percolation ⋮ Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation ⋮ Critical percolation and \(\mathrm{A + B \rightarrow 2A}\) dynamics ⋮ Large deviations in first-passage percolation ⋮ Superlinearity of Geodesic Length in 2D Critical First-Passage Percolation ⋮ On the concentration and the convergence rate with a moment condition in first passage percolation ⋮ Fluctuation lower bounds in planar random growth models ⋮ Random growth models: Shape and convergence rate ⋮ Continuity of the time constant in a continuous model of first passage percolation ⋮ Asymptotics for 2D critical and near-critical first-passage percolation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The probability of a large cluster in supercritical Bernoulli perlocation
• A limit theorem for \(N_{0n}/n\) in first-passage percolation
• Critical behavior of the two-dimensional first passage time
• Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation
• A shape theorem for epidemics and forest fires with finite range interactions
• The supercritical phase of percolation is well behaved

This page was built for publication: Supercritical behaviors in first-passage percolation