11 citations · 33 across the 13 of their papers we have counts for
7 papers · 1 filter
The equality case in Godbersen's inequality and its generalizations
Omer Friedland, Eli Putterman, Maud Szusterman
Godbersen's long-standing conjecture states that the mixed volumes of any convex body satisfy for a…
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 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…
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…
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…
Some new positions of maximal volume of convex bodies
Shiri Artstein-Avidan, Eli Putterman
In this paper, we extend and generalize several previous works on maximal-volume positions of convex bodies. First, we analyze the maximal positive-definite image of one convex bod…
Spectral monotonicity under Gaussian convolution
Bo'az Klartag, Eli Putterman
We show that the Poincaré constant of a log-concave measure in Euclidean space is monotone increasing along the heat flow. In fact, the entire spectrum of the associated Laplace op…