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The Exact Packing Dimension of a Set of Zero Heat CapacityKeywords: Multifractal spectrum , packing measure , dimension , Brownian motion , heat equation , heat capacity Abstract: We consider the packing measure properties of subsets of Rn+1 of zero heat capacity relative to the heat equation: The exact packing dimension is determined for subset of Rn, na‰¥3 for which u(x, t) is unbounded for (x, t) μRn+1
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