Percolation was introduced in 1957 as a surprisingly simple probabilistic model for liquids diffusing through porous materials. It is one of a large variety of statistical mechanics models: large systems of particles governed by local interactions that combine to produce surprising large-scale behaviours.
In this talk we will discuss percolation -- and its more general variant called FK-percolation -- on the d-dimensional lattice Z^d. We will touch on topics such as the sharpness of the phase transition, its continuity or discontinuity and finally, will mention some recent progress on the critical phase of the two dimensional case.
salle 3
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