WIAS Preprint No. 1978, (2014)

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


  • Soares dos Santos, Renato

2010 Mathematics Subject Classification

  • 60K37 82C22


  • random walk, dynamic random environment, exclusion process, linear bounds, multiscale analysis, percolation


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 renormalisation methods of Kesten and Sidoravicius [11].

Appeared in

  • Electron. J. Probab., 19 (2014) pp. 1--18.

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