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2005 Diffusive Long-time Behavior of Kawasaki Dynamics
Nicoletta Cancrini, Filippo Cesi, Cyril Roberto
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Electron. J. Probab. 10: 216-249 (2005). DOI: 10.1214/EJP.v10-239

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.

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Nicoletta Cancrini. Filippo Cesi. Cyril Roberto. "Diffusive Long-time Behavior of Kawasaki Dynamics." Electron. J. Probab. 10 216 - 249, 2005. https://doi.org/10.1214/EJP.v10-239

Information

Accepted: 4 March 2005; Published: 2005
First available in Project Euclid: 1 June 2016

zbMATH: 1083.60077
MathSciNet: MR2120244
Digital Object Identifier: 10.1214/EJP.v10-239

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