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- Title
Measurable metrics and Gaussian concentration.
- Authors
Hirsch, Francis
- Abstract
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.
- Subjects
GAUSSIAN measures; GENERALIZED integrals; DIRICHLET forms; ALGEBRAIC spaces; LOGARITHMIC functions
- Publication
Forum Mathematicum, 2006, Vol 18, Issue 3, p345
- ISSN
0933-7741
- Publication type
Article
- DOI
10.1515/FORUM.2006.020