First-Passage Percolation on the Square Lattice

Inhaltsverzeichnis

• Preliminaries.
• Bernoulli percolation.
• Definition of the basic processes and the existence of routes.
• Convergence of the first-passage processes.
• Renewal theory for percolation processes.
• The time constant.
• Route length and the height process.
• Other percolation models on the square lattice.
• Conjectures and open problems.