Peter van Hintum

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math.AP2024

Sharp stability of the Brunn-Minkowski inequality via optimal mass transportation

Alessio Figalli, Peter van Hintum, Marius Tiba

The Brunn-Minkowski inequality, applicable to bounded measurable sets $A$ and $B$ in $R^{d}$ , states that $∣ A + B ∣^{1/ d} \geq ∣ A ∣^{1/ d} + ∣ B ∣^{1/ d}$ . Equality is achieved if and…

math.AP2023

Sharp quantitative stability of the Brunn-Minkowski inequality

Alessio Figalli, Peter van Hintum, Marius Tiba

The Brunn-Minkowski inequality states that for bounded measurable sets $A$ and $B$ in $R^{n}$ , we have $∣ A + B ∣^{1/ n} \geq ∣ A ∣^{1/ n} + ∣ B ∣^{1/ n}$ . Also, equality holds if and on…