Logarithmic Sobolev inequalities and concentration of measure for convex functions and polynomial chaoses

@inproceedings{2008LogarithmicSI,
  title={Logarithmic Sobolev inequalities and concentration of measure for convex functions and polynomial chaoses},
  author={},
  year={2008}
}
  • Published 2008
Logarithmic Sobolev inequalities and concentration of measure for convex functions and polynomial chaoses. Abstract We prove logarithmic Sobolev inequalities and concentration results for convex functions and a class of product random vectors. The results are used to derive tail and moment inequalities for chaos variables (in spirit of Talagrand and Arcones, Giné). We also show that the same proof may be used for chaoses generated by log-concave random variables, recovering results by Lochowski… CONTINUE READING

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