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Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures

math.MG · 2026-05-04 · unverdicted · novelty 7.0

Even log-concave measures satisfy μ(λK + (1-λ)L)^{c_n} ≥ λ μ(K)^{c_n} + (1-λ) μ(L)^{c_n} with c_n ≥ c/(n^3 ln n).

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Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures math.MG · 2026-05-04 · unverdicted · none · ref 12
Even log-concave measures satisfy μ(λK + (1-λ)L)^{c_n} ≥ λ μ(K)^{c_n} + (1-λ) μ(L)^{c_n} with c_n ≥ c/(n^3 ln n).

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