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arXiv:0901.1482 [math.FA]AbstractReferencesReviewsResources

The Logarithmic Sobolev Inequality for Gibbs measures on infinite product of Heisenberg groups

Ioannis Papageorgiou

Published 2009-01-11, updated 2014-01-14Version 5

We are interested in the $q$ Logarithmic Sobolev inequality for probability measures on the infinite product of Heisenberg groups. We assume that the one site boundary free measure satisfies either a $q$ Log-Sobolev inequality or a U-Bound inequality, and we determine conditions so that the infinite dimensional Gibbs measure satisfies a $q$ Log-Sobolev inequality.

Comments: 42 pages
Categories: math.FA, math.PR
Subjects: 60E15, 26D10
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