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The quenched limiting distributions of a one-dimensional random walk in random scenery


 
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1. Title Title of document The quenched limiting distributions of a one-dimensional random walk in random scenery
 
2. Creator Author's name, affiliation, country Nadine Guillotin-Plantard; Université Lyon 1; France
 
2. Creator Author's name, affiliation, country Yueyun Hu; Université Paris 13; France
 
2. Creator Author's name, affiliation, country Bruno Schapira; Aix-Marseille Université; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random walk in random scenery; Weak limit theorem; Law of the iterated logarithm; Brownian motion in Brownian Scenery; Strong approximation
 
3. Subject Subject classification 60F05; 60G52
 
4. Description Abstract For a one-dimensional random walk in random scenery (RWRS) on Z, we determine its quenched weak limits by applying Strassen's functional law of iterated logarithm. As a consequence, conditioned on the random scenery, the one dimensional RWRS does not converge in law, in contrast with the multi-dimensional case.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) ANR (MEMEMOII) 2010 BLAN 0125
 
7. Date (YYYY-MM-DD) 2013-11-03
 
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/2918
 
10. Identifier Digital Object Identifier 10.1214/ECP.v18-2918
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 18
 
12. Language English=en en
 
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