• Title of article

    Remarks on non-interacting conservative spin systems: The case of gamma distributions

  • Author/Authors

    Barthe، نويسنده , , P. F. J. Wolff، نويسنده , , P.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    13
  • From page
    2711
  • To page
    2723
  • Abstract
    We provide precise estimates of the spectral gap and logarithmic Sobolev constants of canonical Gibbs measures associated to gamma distributions with parameter α ≥ 1 . This is related to the Kannan–Lovász–Simonovits conjecture for simplices and unit balls of ℓ p n spaces.
  • Keywords
    Poincaré inequality , logarithmic Sobolev inequality , Gamma distribution , Conservative spin systems , Log-concave measure
  • Journal title
    Stochastic Processes and their Applications
  • Serial Year
    2009
  • Journal title
    Stochastic Processes and their Applications
  • Record number

    1578168