Quantitative stability for the Brunn–Minkowski inequality
Author(s)Figalli, Alessio; Jerison, David S.
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© 2016 We prove a quantitative stability result for the Brunn–Minkowski inequality: if |A|=|B|=1, t∈[τ,1−τ] with τ>0, and |tA+(1−t)B|1/n≤1+δ for some small δ, then, up to a translation, both A and B are quantitatively close (in terms of δ) to a convex set K.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Advances in Mathematics