Abstract

This work is a detailed study of the phase transition in percolation, in particular of the question of nite-size scaling: Namely, how does the critical transition behavior emerge from the behavior of large, - nite systems? Our results rigorously locate the proper window in which to do critical computation and establish features of the phase transition. This work is a nite-dimensional analogue of classic work on the critical regime of the random graph model of Erdös and Rényi.

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