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

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

2009-01-11

arxiv.org/abs/0901.1482v4

Mathematics

Functional Analysis

45 pages

Scientific paper

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.

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