Hypercontractive measures, Talagrand's inequality, and influences

Details Hypercontractive measures, Talagrand's inequality, and influences Hypercontractive measures, Talagrand's inequality, and influences

2011-05-23

arxiv.org/abs/1105.4533v1

Mathematics

Probability

Scientific paper

We survey several Talagrand type inequalities and their application to influences with the tool of hypercontractivity for both discrete and continuous, and product and non-product models. The approach covers similarly by a simple interpolation the framework of geometric influences recently developed by N. Keller, E. Mossel and A. Sen. Geometric Brascamp-Lieb decompositions are also considered in this context.

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