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A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus

A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus

Abstract We study a random conductance problem on a d ‐dimensional discrete torus of size L > 0. The conductances are independent, identically distributed random variables uniformly bounded from above and below by positive constants. The effective conductance A L of the network is a random variable, depending on L …