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arXiv · 1509.06444

Borell's generalized Pr\'ekopa-Leindler inequality: A simple proof

Arnaud Marsiglietti
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Abstract

We present a simple proof of Christer Borell's general inequality in the Brunn-Minkowski theory. We then discuss applications of Borell's inequality to the log-Brunn-Minkowski inequality of B\"or\"oczky, Lutwak, Yang and Zhang.

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Arnaud Marsiglietti. 2015-09-22. Borell's generalized Pr\'ekopa-Leindler inequality: A simple proof. https://arxiv.org/abs/1509.06444

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