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Reconstructing the environment seen by a RWRE


 
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1. Title Title of document Reconstructing the environment seen by a RWRE
 
2. Creator Author's name, affiliation, country Nina Gantert; Technische Universität München; Germany
 
2. Creator Author's name, affiliation, country Jan Nagel; Technische Universität München; Germany
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) random walk in random environment, scenery reconstruction
 
3. Subject Subject classification 60K37; 60J10
 
4. Description Abstract Consider a walker performing a random walk in an i.i.d. random environment, and assume that the walker tells us at each time the environment it sees at its present location. Given this history of the transition probabilities seen from the walker - but not its trajectory - can we reconstruct the law of the environment? We show that in a one-dimensional environment, the law of the environment can be reconstructed. This model can be seen as a special case of a scenery reconstruction problem, where the steps of the random walker depend on the scenery.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2014-05-07
 
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/3013
 
10. Identifier Digital Object Identifier 10.1214/ECP.v19-3013
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 19
 
12. Language English=en en
 
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