Contents V.1, N.1, 2010

  • LOG-CONCAVE MEASURES
    D. FEYEL, A. S.USTUNEL (pp. 92-105)

    • Abstract.

    We study the log-concave measures, their characterization via the Pr ́ekopa-Leindlerproperty and also define a subset of it whose elements are called super log-concave measureswhich have the property of satisfying a logarithmic Sobolev inequality. We give some resultsabout their stability. Certain relations with measure transportation are also indicated.

    Keywords:

    Log-concave measures, logarithmic Sobolev inequality, measure transport, Pr ́kopa-Leindler inequality,H-convexity.

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