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A Non-Ballistic Law of Large Numbers for Random Walks in I.I.D. Random Environment


 
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1. Title Title of document A Non-Ballistic Law of Large Numbers for Random Walks in I.I.D. Random Environment
 
2. Creator Author's name, affiliation, country Martin P. W. Zerner; Stanford University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random walk in random environment, RWRE,law of large numbers.
 
3. Subject Subject classification Primary 60K37, secondary 60F15.
 
4. Description Abstract We prove that random walks in i.i.d. random environments which oscillate in a given direction have velocity zero with respect to that direction. This complements existing results thus giving a general law of large numbers under the only assumption of a certain zero-one law, which is known to hold if the dimension is two.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2002-09-30
 
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/1060
 
10. Identifier Digital Object Identifier 10.1214/ECP.v7-1060
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 7
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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