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.
Eskenazis,On extremal sections of subspaces of𝐿 𝑝, Discrete Comput
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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.