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· 1993

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math.CA 1

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Improved packing of hypersurfaces in $\mathbb R^d$

math.CA · 2025-01-07 · accept · novelty 6.0

The authors pack every d-sphere of radii 1 to 2 into a set whose δ-neighborhood has measure ≲ |log δ|^{-2/d}, matching the lower bound in two dimensions.

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  • Improved packing of hypersurfaces in $\mathbb R^d$ math.CA · 2025-01-07 · accept · none · ref 6

    The authors pack every d-sphere of radii 1 to 2 into a set whose δ-neighborhood has measure ≲ |log δ|^{-2/d}, matching the lower bound in two dimensions.