On decay of correlations for an exclusion process with asymmetric boundary conditions

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 $S\to\infty$. 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.