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arxiv: 1308.2793 · v1 · pith:VMSLEACAnew · submitted 2013-08-13 · 🧮 math.PR

Non-trivial linear bounds for a random walk driven by a simple symmetric exclusion process

classification 🧮 math.PR
keywords randomboundsexclusionlinearnon-trivialprocesssimplesymmetric
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Non-trivial linear bounds are obtained for the displacement of a random walk in a dynamic random environment given by a one-dimensional simple symmetric exclusion process in equilibrium. The proof uses an adaptation of multiscale renormalization methods of Kesten and Sidoravicius.

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