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arXiv · 1109.3652

Interpolations, convexity and geometric inequalities

Dario Cordero-Erausquin·Bo'az Klartag
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Abstract

We survey some interplays between spectral estimates of Hörmander-type, degenerate Monge-Ampère equations and geometric inequalities related to log-concavity such as Brunn-Minkowski, Santaló or Busemann inequalities.

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Dario Cordero-Erausquin, Bo'az Klartag. 2011-09-16. Interpolations, convexity and geometric inequalities. https://arxiv.org/abs/1109.3652

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