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Showing 1 to 1 of 1 for “"extremal ratios"”.
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Riesz capacity: Hausdorff measure and extremal ratios
Riesz capacity measures the size of a set in $\mathbb{R}^n$ in terms of a pairwise interaction kernel $|x-y|^{-p}$ with exponent $p In the first part of the dissertation, the decay rate of Riesz capacity as the exponent $p$ increases to $n$ is shown to yield the Hausdorff measure of the set. The …