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- W2247236687 abstract "We investigate the (generalized) Walsh decomposition of point-to-point effective resistances on countable random electric networks with i.i.d. resistances. We show that it is concentrated on low levels, and thus point-to-point effective resistances are uniformly stable to noise. For graphs that satisfy some homogeneity property, we show in addition that it is concentrated on sets of small diameter. As a consequence, we compute the right order of the variance and prove a central limit theorem for the effective resistance through the discrete torus of side length $n$ in $mathbb {Z}^d$, when $n$ goes to infinity." @default.
- W2247236687 created "2016-06-24" @default.
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- W2247236687 date "2016-03-01" @default.
- W2247236687 modified "2023-10-14" @default.
- W2247236687 title "Noise-stability and central limit theorems for effective resistance of random electric networks" @default.
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- W2247236687 doi "https://doi.org/10.1214/14-aop996" @default.
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