×

zbMATH — the first resource for mathematics

Negative correlations and particle systems. (English) Zbl 1021.60084
Summary: 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.

MSC:
60K35 Interacting random processes; statistical mechanics type models; percolation theory
60E15 Inequalities; stochastic orderings
PDF BibTeX XML Cite