A Large Wiener Sausage from Crumbs.
Dublin Core | PKP Metadata Items | Metadata for this Document | |
1. | Title | Title of document | A Large Wiener Sausage from Crumbs. |
2. | Creator | Author's name, affiliation, country | Omer Angel; Weizmann Institute of Science |
2. | Creator | Author's name, affiliation, country | Itai Benjamini; Weizmann Institute of Science |
2. | Creator | Author's name, affiliation, country | Yuval Peres; University of California, Berkeley |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | Brownian motion, capacity, polar set, Wiener sausage. |
3. | Subject | Subject classification | 60J45, 60J65, 31C15. |
4. | Description | Abstract | Let $B(t)$ denote Brownian motion in $R^d$. It is a classical fact that for any Borel set $A$ in $R^d$, the volume $V_1(A)$ of the Wiener sausage $B[0,1]+A$ has nonzero expectation iff $A$ is nonpolar. We show that for any nonpolar $A$, the random variable $V_1(A)$ is unbounded. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | |
7. | Date | (YYYY-MM-DD) | 2000-04-24 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ecp.ejpecp.org/article/view/1019 |
10. | Identifier | Digital Object Identifier | 10.1214/ECP.v5-1019 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Communications in Probability; Vol 5 |
12. | Language | English=en | |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
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