 9321 F.Martinelli , E.Olivieri
 APPROACH TO EQUILIBRIUM OF GLAUBER DYNAMICS IN THE ONE PHASE REGION II.
THE GENERAL CASE
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Jan 26, 93

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Abstract. We develop a new
method, based on renormalization group ideas (block decimation
procedure), to prove, under an
assumption of strong mixing in a finite cube $\Lambda_o$, a
Logarithmic Sobolev Inequality for
the Gibbs state of a discrete spin system. As a consequence
we derive the hypercontractivity of the
Markov semigroup of the associated Glauber dynamics and the
exponential convergence to equilibrium in the uniform norm
in all volumes $\Lambda$ "multiples" of the cube $\Lambda_o$.
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