Non-trivial linear bounds for a random walk driven by a simple symmetric exclusion process. (English) Zbl 1310.60145

Soares dos Santos, Renato

Electron. J. Probab. 19, Paper No. 49, 18 p. (2014).

Summary: 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 H. Kesten and V. Sidoravicius [Electron. J. Probab. 8, Paper No. 5, 51 p. (2003; Zbl 1064.60196)].

MSC:

60K37	Processes in random environments
60G50	Sums of independent random variables; random walks
60K35	Interacting random processes; statistical mechanics type models; percolation theory
82C22	Interacting particle systems in time-dependent statistical mechanics

Keywords:

random walk; dynamic random environment; exclusion process; linear bounds; multiscale analysis; percolation

Citations:

Zbl 1064.60196