Critical behavior of the two-dimensional first passage time

DOI10.1007/BF01020583zbMath0629.60109MaRDI QIDQ1094013

Richard T. Durrett, Lincoln Chayes, Jennifer T. Chayes

Publication date: 1986

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

critical behaviorpercolation thresholdtwo-dimensional first passage problem

Mathematics Subject Classification ID

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

Related Items

On the speed of convergence for two-dimensional first passage Ising percolation., Supercritical behaviors in first-passage percolation, Central limit theorem for first-passage percolation time across thin cylinders, Comparison of limit shapes for Bernoulli first-passage percolation, Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation, Transitions for exceptional times in dynamical first-passage percolation, Critical percolation and \(\mathrm{A + B \rightarrow 2A}\) dynamics, Non-optimality of invaded geodesics in 2d critical first-passage percolation, Limit theorems for critical first-passage percolation on the triangular lattice, Singularity points for first passage percolation, Fluctuation lower bounds in planar random growth models, The power laws of \(M\) and \(N\) in greedy lattice animals, Bulk transport properties and exponent inequalities for random resistor and flow networks, The tortuosity of occupied crossings of a box in critical percolation, Classical Percolation, Classical and quantum breakdown in disordered, Non-linear Response, Semi-Classical Percolation and Breakdown in the RRTN Model, Asymptotics for 2D critical and near-critical first-passage percolation, First-order behavior of the time constant in Bernoulli first-passage percolation

Cites Work

• Unnamed Item
• Surfaces with minimal random weights and maximal flows: a higher dimensional version of first-passage percolation
• The critical probability of bond percolation on the square lattice equals 1/2
• Some limit theorems for percolation processes with necessary and sufficient conditions
• First-passage percolation on the square lattice
• Percolation Processes: Lower Bounds for the Critical Probability
• Inequalities with applications to percolation and reliability
• On the time constant and path length of first-passage percolation
• Capillary displacement and percolation in porous media
• A note on percolation
• First-passage percolation on the square lattice, II
• Percolation Probabilities on the Square Lattice
• Bond percolation on subsets of the square lattice, and the threshold between one-dimensional and two-dimensional behaviour