Remarks on non-interacting conservative spin systems: The case of gamma distributions
F. Barthe and
P. Wolff
Stochastic Processes and their Applications, 2009, vol. 119, issue 8, 2711-2723
Abstract:
We provide precise estimates of the spectral gap and logarithmic Sobolev constants of canonical Gibbs measures associated to gamma distributions with parameter [alpha]>=1. This is related to the Kannan-Lovász-Simonovits conjecture for simplices and unit balls of spaces.
Keywords: Conservative; spin; systems; Poincare; inequality; Logarithmic; Sobolev; inequality; Gamma; distribution; Log-concave; measure (search for similar items in EconPapers)
Date: 2009
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