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math.FA2013
Concavity properties of extensions of the parallel volume
Arnaud Marsiglietti
In this paper we establish concavity properties of two extensions of the classical notion of the outer parallel volume. On the one hand, we replace the Lebesgue measure by more gen…
math.FA2013
On the analogue of the concavity of entropy power in the Brunn-Minkowski theory
Matthieu Fradelizi, Arnaud Marsiglietti
Elaborating on the similarity between the entropy power inequality and the Brunn-Minkowski inequality, Costa and Cover conjectured in {\it On the similarity of the entropy power in…