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

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.

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Year of publication:	2009
Authors:	Barthe, F. ; Wolff, P.
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 119.2009, 8, p. 2711-2723
Publisher:	Elsevier
Keywords:	Conservative spin systems Poincare inequality Logarithmic Sobolev inequality Gamma distribution Log-concave measure

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008872633