On Decay of Correlations for Exclusion Processes with Asymmetric Boundary Conditions

V. A. Malyshev; V. A. Shvets

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arXiv · 1111.6868

On Decay of Correlations for Exclusion Processes with Asymmetric Boundary Conditions

V. A. Malyshev·V. A. Shvets

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Abstract

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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BibTeX RIS

V. A. Malyshev, V. A. Shvets. 2011-11-29. On Decay of Correlations for Exclusion Processes with Asymmetric Boundary Conditions. https://arxiv.org/abs/1111.6868

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