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arxiv: 1808.10435 · v1 · pith:FE55PNV6new · submitted 2018-08-30 · 🧮 math.PR · math.FA· math.MG

Geometry of ell_p^n-balls: Classical results and recent developments

classification 🧮 math.PR math.FAmath.MG
keywords appearballschapterclassicalconferencedevelopmentsforthcominggeometry
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This survey will appear as a chapter in the forthcoming "Proceedings of the HDP VIII Conference".

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  1. Intrinsic volumes of $\ell_p$-balls and a continuum of Maxwell--Poincar\'e--Borel laws for their curvature measures

    math.PR 2026-05 unverdicted novelty 7.0

    Explicit formulas for intrinsic volumes of ℓ_p-balls via one-dimensional integrals with special function F_p, plus Maxwell-Poincaré-Borel limit laws for curvature measures in high dimensions.