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Francis Hirsch

Measurable metrics and Gaussian concentration

We introduce, in the general setting of a measure space endowed with a measurable metric in the sense of N. Weaver, the concentration function. We then extend some results concerning the Gaussian concentration property. In particular, we study relations between this property and transportation type inequalities or logarithmic Sobolev inequalities.

Forum Mathematicum, Walter de Gruyter

Print ISSN: 0933-7741
Volume: 18, 05/2006
Pages: 345 - 363

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