Mathematics – Functional Analysis
Scientific paper
2009-01-10
Markov Processes Relat. Fields 16, 447-484 (2010)
Mathematics
Functional Analysis
37 pages. Improved version. Accepted for publication in Markov Processes and Related Fields.
Scientific paper
We are interested in the Logarithmic Sobolev Inequality for the infinite volume Gibbs measure with no quadratic interactions. We consider unbounded spin systems on the one dimensional Lattice with interactions that go beyond the usual strict convexity and without uniform bound on the second derivative. We assume that the one dimensional single-site measure with boundaries satisfies the Log-Sobolev inequality uniformly on the boundary conditions and we determine conditions under which the Log-Sobolev Inequality can be extended to the infinite volume Gibbs measure.
No associations
LandOfFree
The Logarithmic Sobolev Inequality in Infinite dimensions for Unbounded Spin Systems on the Lattice with non Quadratic Interactions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Logarithmic Sobolev Inequality in Infinite dimensions for Unbounded Spin Systems on the Lattice with non Quadratic Interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Logarithmic Sobolev Inequality in Infinite dimensions for Unbounded Spin Systems on the Lattice with non Quadratic Interactions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-257950