A functional approach for random walks in random sceneries
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1. | Title | Title of document | A functional approach for random walks in random sceneries |
2. | Creator | Author's name, affiliation, country | Clement Dombry; Universite de Poitiers |
2. | Creator | Author's name, affiliation, country | Nadine Guillotin-Plantard; Université Lyon Claude Bernard |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | Weak convergence, Random walk, Random scenery, Local time |
3. | Subject | Subject classification | 60F05; 60F25; 60G50 |
4. | Description | Abstract | A functional approach for the study of the random walks in random sceneries (RWRS) is proposed. Under fairly general assumptions on the random walk and on the random scenery, functional limit theorems are proved. The method allows to study separately the convergence of the walk and of the scenery: on the one hand, a general criterion for the convergence of the local time of the walk is provided, on the other hand, the convergence of the random measures associated with the scenery is studied. This functional approach is robust enough to recover many of the known results on RWRS as well as new ones, including the case of many walkers evolving in the same scenery. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | ANR MEMEMO |
7. | Date | (YYYY-MM-DD) | 2009-07-02 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ejp.ejpecp.org/article/view/659 |
10. | Identifier | Digital Object Identifier | 10.1214/EJP.v14-659 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Journal of Probability; Vol 14 |
12. | Language | English=en | |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
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