• Title of article

    LOG-CONCAVE MEASURES

  • Author/Authors

    FEYEL, D. Quai des Platreries, France , USTUNEL, A. S. Institute Telecom-Paristech, France

  • From page
    92
  • To page
    105
  • Abstract
    We study the log-concave measures, their characterization via the Pr´ekopa-Leindler property and also define a subset of it whose elements are called super log-concave measures which have the property of satisfying a logarithmic Sobolev inequality. We give some results about their stability. Certain relations with measure transportation are also indicated.
  • Keywords
    Log , concave measures , logarithmic Sobolev inequality , measure transport , PrkopaLeindler inequality , H , convexity.
  • Journal title
    TWMS Journal of Pure and Applied Mathematics
  • Journal title
    TWMS Journal of Pure and Applied Mathematics
  • Record number

    2527786

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2527786