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math.FA2024
A Blaschke-Santaló inequality for unconditional log-concave measures
Emanuel Milman, Amir Yehudayoff
The Blaschke-Santaló inequality states that the volume product of a symmetric convex body is maximized by the standard Euclidean unit-b…
math.FA2024★ 1 cited
Fixed and Periodic Points of the Intersection Body Operator
Emanuel Milman, Shahar Shabelman, Amir Yehudayoff
The intersection body of a star-body in was introduced by E. Lutwak following the work of H. Busemann, and plays a central role in the dual Brunn-Minkowski…
math.DG2024
Isoperimetric Inequalities on Slabs with applications to Cubes and Gaussian Slabs
Emanuel Milman
We study isoperimetric inequalities on "slabs", namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension-o…