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Sharp stability for the (B)-theorem
Eli Putterman
The (B)-theorem of Cordero-Erausquin, Fradelizi and Maurey states that if is the standard Gaussian in , is an origin-symmetric convex set,…
On unbalanced difference bodies and Godbersen's conjecture
Shiri Artstein-Avidan, Eli Putterman
The longstanding Godbersen's conjecture states that for any convex body of volume and any , the mixed volume $V_j = V(K[j], -K[n…
On the polar of Schneider's difference body
Julián Haddad, Dylan Langharst, Galyna V. Livshyts +1
In 1970, Schneider introduced the th-order extension of the difference body of a convex body , the convex body in . He conject…
Higher-Order Lp Isoperimetric and Sobolev Inequalities
Julián Haddad, Dylan Langharst, Eli Putterman +2
Schneider introduced an inter-dimensional difference body operator on convex bodies and proved an associated inequality. In the prequel to this work, we showed that this concept ca…