By Bela Bollobás,Oliver Riordan

Percolation thought used to be initiated a few fifty years in the past as a mathematical framework for the examine of random actual techniques equivalent to move via a disordered porous medium. It has proved to be a remarkably wealthy thought, with purposes past typical phenomena to themes corresponding to community modelling. The goals of this ebook, first released in 2006, are twofold. First to provide classical ends up in a manner that's available to non-specialists. moment, to explain result of Smirnov in conformal invariance, and description the facts that the serious chance for random Voronoi percolation within the airplane is 0.5. all through, the presentation is streamlined, with based and simple proofs requiring minimum historical past in chance and graph idea. various examples illustrate the real strategies and improve the arguments. All-in-all, it will likely be a necessary buy for mathematicians, physicists, electric engineers and machine scientists operating during this interesting area.

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