On Decay of Correlations for Exclusion Processes with Asymmetric Boundary Conditions

Details On Decay of Correlations for Exclusion Processes with Asymmetric Boundary Conditions On Decay of Correlations for Exclusion Processes with Asymmetric Boundary Conditions

2011-11-29

arxiv.org/abs/1111.6868v1

Problems of Information Transmission, 2009, v. 45, No. 1, pp.65-73

Mathematics

Probability

Scientific paper

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 asymptotic independence of a stationary distribution whem the points are far away from each other. We develop a new recurrent probabilistic approach which is an alternative to Derrida's algebraic technique.

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