Bøger af Geoffrey R. Grimmett

Grimmett, Geoffrey: Percolation and disordered systems.- Kesten, Harry: Aspects of first passage percolation.

The random-cluster model has emerged as a key tool in the mathematical study of ferromagnetism. The Random-Cluster Model contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems.

Percolation theory is the study of an idealized random medium in two or more dimensions. Much new material appears in this second edition including dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.