Article contents
On stochastic domination in the Brascamp–Lieb framework
Published online by Cambridge University Press: 02 May 2003
Abstract
We exploit a recent approach to Brascamp–Lieb inequalities, due to Caffarelli [5], and reconsider earlier approaches to establish stochastic domination inequalities between Gaussian variables and random variables with density of the form $g\cdot h, g$ a Gaussian density and $h$ a log-concave or log-convex function. These extend to inequalities on random vectors via a classical result by Prékopa and Leindler and they complement the Brascamp–Lieb moment inequalities. Some applications to a class of Gibbs measures, the anharmonic crystals, are developed.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 134 , Issue 3 , May 2003 , pp. 507 - 514
- Copyright
- 2003 Cambridge Philosophical Society
- 2
- Cited by