03-320 Cancrini N, Cesi F, Roberto C

Diffusive long-time behavior of Kawasaki dynamics (413K, PS) Jul 9, 03

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Abstract. If $P_t$ is the semigroup associated with the Kawasaki dynamics on $\Z^d$ and $f$ is a local function on the configuration space, then the variance with respect to the invariant measure $\mu$ of $P_t f$ goes to zero as $t\to\oo$ faster than $t^{-d/2+\e}$, with $\e$ arbitrarily small. The fundamental assumption is a mixing condition on the interaction of Dobrushin and Schlosman type.

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