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20102026
most citedA direct proof of the functional Santalo inequality

56 citations · 159 across the 18 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

math.FA2013★ 18 cited

Bounding the norm of a log-concave vector via thin-shell estimates

Ronen Eldan, Joseph Lehec

Chaining techniques show that if X is an isotropic log-concave random vector in R^n and Gamma is a standard Gaussian vector then E |X| < C n^{1/4} E |Gamma| for any norm |*|, where…

math.PR2013★ 13 cited

Short probabilistic proof of the Brascamp-Lieb and Barthe theorems

Joseph Lehec

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…