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08 February 2025
 
  » arxiv » 1605.0285

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The Borell-Ehrhard Game
Ramon van Handel ;
Date 1 May 2016
AbstractA precise description of the convexity of Gaussian measures is provided by sharp Brunn-Minkowski type inequalities due to Ehrhard and Borell. We show that these are manifestations of a game-theoretic mechanism: a minimax variational principle for Brownian motion. As an application, we obtain a Gaussian improvement of Barthe’s reverse Brascamp-Lieb inequality.
Source arXiv, 1605.0285
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