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· 2023 · DOI 10.1515/9783110775389-008

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math.PR 1

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2026 1

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UNVERDICTED 1

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Convex order and heat flow for projection profiles of $\ell_p^n$ balls

math.PR · 2026-05-12 · unverdicted · novelty 6.0

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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  • Convex order and heat flow for projection profiles of $\ell_p^n$ balls math.PR · 2026-05-12 · unverdicted · none · ref 4

    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.