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Distributional limits for the symmetric exclusion process

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  • Liggett, Thomas M.

Abstract

Strong negative dependence properties have recently been proved for the symmetric exclusion process. In this paper, we apply these results to prove convergence to the Poisson and Gaussian distributions for various functionals of the process.

Suggested Citation

  • Liggett, Thomas M., 2009. "Distributional limits for the symmetric exclusion process," Stochastic Processes and their Applications, Elsevier, vol. 119(1), pages 1-15, January.
    • Handle: RePEc:eee:spapps:v:119:y:2009:i:1:p:1-15
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    References listed on IDEAS

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    1. Roussas, G. G., 1994. "Asymptotic Normality of Random Fields of Positively or Negatively Associated Processes," Journal of Multivariate Analysis, Elsevier, vol. 50(1), pages 152-173, July.
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