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