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A Stationary, mixing and perturbative counterexample to the 0-1-law for random walk in random environment in two dimensions


 
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1. Title Title of document A Stationary, mixing and perturbative counterexample to the 0-1-law for random walk in random environment in two dimensions
 
2. Creator Author's name, affiliation, country Hadrian Heil; Technische Universität München; Germany
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random Walk in Random Environment; Counterexample; 0-1-Law
 
3. Subject Subject classification 60F20; 60K37
 
4. Description Abstract We construct a two-dimensional counterexample of a random walk in random environment (RWRE). The environment is stationary, mixing and perturbative, and the corresponding RWRE has non trivial probability to wander off to the upper right. This is in contrast to the 0-1-law that holds for i.i.d. environments.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) German-Israeli-Foundation
 
7. Date (YYYY-MM-DD) 2013-01-04
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/1880
 
10. Identifier Digital Object Identifier 10.1214/EJP.v18-1880
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 18
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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