- 00-340 Paolo Dai Pra, Anna Maria Paganoni and Gustavo Posta
- Entropy inequlities for unbounded spin systems
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Sep 6, 00
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Abstract. We consider nonconservative, reversible spin systems, with
unbounded discrete spins. We show that for a class of these
dynamics in a high temperature regime, the relative entropy with
respect to the equilibrium distribution decays exponentially in
time, although the logarithmic-Sobolev inequality fails. To this
end we prove a weaker modification of the logarithmic-Sobolev
inequality.
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