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The conductivity of a random network of resistors and insulators in two dimensions is calculated for strips of size N with L of the order of several 10^6 and N up to 350. At the percolation threshold I find the finite-size conductivity exponent t to be 0. 9730. 005 in contradiction to the Alexander-Orbach conjecture t0. 948 and also incompatible with t=1. 0.
John G. Zabolitzky (Mon,) studied this question.