New moment comparisons and dyadic chaining yield an n^{1/4} polylog coefficient in Latała's weak-strong inequality for isotropic log-concave vectors, plus sharp L2-Sudakov and polar centroid body entropy estimates.
Artstein-Avidan, A
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Moment comparisons, Sudakov inequalities and entropy of centroid bodies
New moment comparisons and dyadic chaining yield an n^{1/4} polylog coefficient in Latała's weak-strong inequality for isotropic log-concave vectors, plus sharp L2-Sudakov and polar centroid body entropy estimates.