Concentration of measure via approximated Brunn--Minkowski inequalities

Details Concentration of measure via approximated Brunn--Minkowski inequalities Concentration of measure via approximated Brunn--Minkowski inequalities

2008-05-07

arxiv.org/abs/0805.0902v1

Mathematics

Differential Geometry

4pages

Scientific paper

We prove that an approximated version of the Brunn--Minkowski inequality with
volume distortion coefficient implies a Gaussian concentration-of-measure
phenomenon. Our main theorem is applicable to discrete spaces.

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