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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 procedures resembling move via a disordered porous medium. It has proved to be a remarkably wealthy thought, with functions past normal phenomena to issues corresponding to community modelling. The goals of this e-book, first released in 2006, are twofold. First to offer classical leads to a manner that's obtainable to non-specialists. moment, to explain result of Smirnov in conformal invariance, and description the evidence that the severe likelihood for random Voronoi percolation within the airplane is 0.5. all through, the presentation is streamlined, with dependent and easy proofs requiring minimum heritage in likelihood and graph conception. a number of examples illustrate the real techniques and enhance the arguments. All-in-all, it will likely be a necessary buy for mathematicians, physicists, electric engineers and laptop scientists operating during this fascinating area.

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