We consider a symmetric exclusion process on a discrete interval of S points with various boundary conditions at the endpoints. We study the asymptotic decay of correlations as S → ∞. The main result is proving asymptotic independence of a stationary distribution at points of the interval that are far enough away. We do not use Derrida’s algebraic technique but develop a new technique, which has a visual probabilistic sense.
Problems of Information Transmission – Springer Journals
Published: Apr 30, 2009
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