Open Access
2014 Non-trivial linear bounds for a random walk driven by a simple symmetric exclusion process
Renato Soares dos Santos
Author Affiliations +
Electron. J. Probab. 19: 1-18 (2014). DOI: 10.1214/EJP.v19-3159

Abstract

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.

Citation

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Renato Soares dos Santos. "Non-trivial linear bounds for a random walk driven by a simple symmetric exclusion process." Electron. J. Probab. 19 1 - 18, 2014. https://doi.org/10.1214/EJP.v19-3159

Information

Accepted: 9 June 2014; Published: 2014
First available in Project Euclid: 4 June 2016

zbMATH: 1310.60145
MathSciNet: MR3217337
Digital Object Identifier: 10.1214/EJP.v19-3159

Subjects:
Primary: 60K35
Secondary: 82C22

Keywords: Dynamic random environment , Exclusion process , linear bounds , multiscale analysis , percolation , Random walk

Vol.19 • 2014
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