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1. CMB 2013 (vol 57 pp. 585)

Lehec, Joseph
 Short Probabilistic Proof of the Brascamp-Lieb and Barthe Theorems We give a short proof of the Brascamp-Lieb theorem, which asserts that a certain general form of Young's convolution inequality is saturated by Gaussian functions. The argument is inspired by Borell's stochastic proof of the PrÃ©kopa-Leindler inequality and applies also to the reversed Brascamp-Lieb inequality, due to Barthe. Keywords:functional inequalities, Brownian motionCategories:39B62, 60J65