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On the Zero-One Law and the Law of Large Numbers for Random Walk in Mixing Random Environment


 
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1. Title Title of document On the Zero-One Law and the Law of Large Numbers for Random Walk in Mixing Random Environment
 
2. Creator Author's name, affiliation, country Firas Rassoul-Agha; Ohio State University, USA
 
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4. Description Abstract We prove a weak version of the law of large numbers for multi-dimensional finite range random walks in certain mixing elliptic random environments. This already improves previously existing results, where a law of large numbers was known only under strong enough transience. We also prove that for such walks the zero-one law implies a law of large numbers.
 
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7. Date (YYYY-MM-DD) 2005-03-04
 
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/1130
 
10. Identifier Digital Object Identifier 10.1214/ECP.v10-1130
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 10
 
12. Language English=en
 
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