Barriers B for an n-dimensional convex body K with surface area close to S(∂K)/2 have orientation measures close to the surface area measure of a symmetrization of K, established via the new notion of weak barriers.
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Stability for barriers of n-dimensional convex bodies with surface area close to Jones' bound
Barriers B for an n-dimensional convex body K with surface area close to S(∂K)/2 have orientation measures close to the surface area measure of a symmetrization of K, established via the new notion of weak barriers.