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- W4302378634 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 $L$, and the main result is a quantitative central limit theorem for this quantity as $L to infty$. In terms of scalings we prove that this nonlinear nonlocal function $A_L$ essentially behaves as if it were a simple spatial average of the conductances (up to logarithmic corrections). The main achievement of this contribution is the precise asymptotic description of the variance of $A_L$." @default.
- W4302378634 created "2022-10-06" @default.
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- W4302378634 date "2014-10-21" @default.
- W4302378634 modified "2023-10-18" @default.
- W4302378634 title "A quantitative central limit theorem for the effective conductance on the discrete torus" @default.
- W4302378634 doi "https://doi.org/10.48550/arxiv.1410.5734" @default.
- W4302378634 hasPublicationYear "2014" @default.
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