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math.MG2021
Improved log-concavity for rotationally invariant measures of symmetric convex sets
Dario Cordero-Erausquin, Liran Rotem
We prove that the (B) conjecture and the Gardner-Zvavitch conjecture are true for all log-concave measures that are rotationally invariant, extending previous results known for Gau…
math.FA2021★ 1 cited
A Riesz representation theorem for log-concave functions
Liran Rotem
The classic Riesz representation theorem characterizes all linear and increasing functionals on the space of continuous compactly supported functions. A geometric versio…