Negative Correlations and Particle Systems

T. Liggett

2002, v.8, Issue 4, 547-564


We consider the symmetric exclusion process and systems of independent Markov chains. For each of these, we prove that certain classes of distributions with negative dependence are preserved by the evolution. We also show by example that the class of negatively associated distributions is not preserved by the symmetric exclusion process.

Keywords: correlation inequalities,symmetric exclusionprocess,negative association,independent particle systems


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