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arXiv · 0805.0902

Concentration of measure via approximated Brunn--Minkowski inequalities

Masayoshi Watanabe
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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.

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Masayoshi Watanabe. 2008-05-07. Concentration of measure via approximated Brunn--Minkowski inequalities. https://arxiv.org/abs/0805.0902

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