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- W2078807302 abstract "We give a criterion for the logarithmic Sobolev inequality (LSI) on the product space X1×⋯×XN. We have in mind an N-site lattice, unbounded continuous spin variables, and Glauber dynamics. The interactions are described by the Hamiltonian H of the Gibbs measure. The criterion for LSI is formulated in terms of the LSI constants of the single-site conditional measures and the size of the off-diagonal entries of the Hessian of H. It is optimal for Gaussians with positive covariance matrix. To illustrate, we give two applications: one with weak interactions and one with strong interactions and a decay of correlations condition." @default.
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- W2078807302 date "2007-02-01" @default.
- W2078807302 modified "2023-10-04" @default.
- W2078807302 title "A new criterion for the logarithmic Sobolev inequality and two applications" @default.
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- W2078807302 doi "https://doi.org/10.1016/j.jfa.2006.10.002" @default.
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