Concentration of measure via approximated Brunn--Minkowski inequalities
Differential Geometry
2008-05-08 v1 Probability
Abstract
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.
Keywords
Cite
@article{arxiv.0805.0902,
title = {Concentration of measure via approximated Brunn--Minkowski inequalities},
author = {Masayoshi Watanabe},
journal= {arXiv preprint arXiv:0805.0902},
year = {2008}
}
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4pages