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Diffusive Long-time Behavior of Kawasaki Dynamics

   
@article{EJP239,
	author = {Nicoletta Cancrini and Filippo Cesi and Cyril Roberto},
	title = {Diffusive Long-time Behavior of Kawasaki Dynamics},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	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 $t\to \infty$ faster than $t^{-d/2+\varepsilon}$, with $\varepsilon$ arbitrarily small. The fundamental assumption is a mixing condition on the interaction of Dobrushin and Schlosman type.},
	pages = {no. 7, 216-249},
	issn = {1083-6489},
	doi = {10.1214/EJP.v10-239},    
        url = {http://ejp.ejpecp.org/article/view/239}}