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.
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Standardized central projection densities of ℓ_p balls (1≤p<2) are Schur-convex under heat flow, maximized at coordinate directions and minimized at diagonals for all times t≥0, via convex order and a new heat-flow identity.
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Intrinsic volumes of $\ell_p$-balls and a continuum of Maxwell--Poincar\'e--Borel laws for their curvature measures
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.
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Convex order and heat flow for projection profiles of $\ell_p^n$ balls
Standardized central projection densities of ℓ_p balls (1≤p<2) are Schur-convex under heat flow, maximized at coordinate directions and minimized at diagonals for all times t≥0, via convex order and a new heat-flow identity.