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