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

Renato Soares dos Santos

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arXiv · 1308.2793

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

Renato Soares dos Santos

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Abstract

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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Renato Soares dos Santos. 2013-08-13. Non-trivial linear bounds for a random walk driven by a simple symmetric exclusion process. https://arxiv.org/abs/1308.2793

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