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math.MG2021
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…
math.MG2021★ 2 cited
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…