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The zero-one law for planar random walks in i.i.d. random environments revisited


 
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1. Title Title of document The zero-one law for planar random walks in i.i.d. random environments revisited
 
2. Creator Author's name, affiliation, country Martin P.W. Zerner; University of Tuebingen
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random environment, random walk, RWRE, transience, zero-one law
 
3. Subject Subject classification 60K37, 60F20.
 
4. Description Abstract In this note we present a simplified proof of the zero-one law by Merkl and Zerner (2001) for directional transience of random walks in i.i.d. random environments (RWRE) on the square lattice. Also, we indicate how to construct a two-dimensional counterexample in a non-uniformly elliptic and stationary environment which has better ergodic properties than the example given by Merkl and Zerner.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2007-10-05
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1314
 
10. Identifier Digital Object Identifier 10.1214/ECP.v12-1314
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 12
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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