Concentration results and applications

@inproceedings{Schechtman1999ConcentrationRA,
  title={Concentration results and applications},
  author={Gideon Schechtman},
  year={1999}
}
Concentration inequalities are estimates for the degree of approximation of functions on metric probability spaces around their mean. It turns out that in many natural situations one can give very good such estimates, and that these are extremely useful. We survey here some of the main methods for proving such inequalities and give a few examples to the way these estimates are used. 
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