Strong law of large numbers for the capacity of the Wiener sausage in dimension four
| dc.contributor.author | Asselah, Amine | |
| dc.contributor.author | Schapira, Bruno | |
| dc.contributor.author | Sousi, Perla | |
| dc.date.accessioned | 2018-06-14T14:56:53Z | |
| dc.date.available | 2018-06-14T14:56:53Z | |
| dc.date.issued | 2019-04 | |
| dc.identifier.issn | 0178-8051 | |
| dc.identifier.uri | https://www.repository.cam.ac.uk/handle/1810/277053 | |
| dc.description.abstract | We prove a strong law of large numbers for the Newtonian capacity of a Wiener sausage in the critical dimension four, where a logarithmic correction appears in the scaling. The main step of the proof is to obtain precise asymptotics for the expected value of the capacity. This re- quires a delicate analysis of intersection probabilities between two independent Wiener sausages. | |
| dc.language | en | |
| dc.publisher | Springer Science and Business Media LLC | |
| dc.title | Strong law of large numbers for the capacity of the Wiener sausage in dimension four | |
| dc.type | Article | |
| prism.endingPage | 858 | |
| prism.issueIdentifier | 3-4 | |
| prism.publicationDate | 2019 | |
| prism.publicationName | Probability Theory and Related Fields | |
| prism.startingPage | 813 | |
| prism.volume | 173 | |
| dc.identifier.doi | 10.17863/CAM.24355 | |
| dcterms.dateAccepted | 2018-03-16 | |
| rioxxterms.versionofrecord | 10.1007/s00440-018-0842-0 | |
| rioxxterms.version | AM | |
| rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
| rioxxterms.licenseref.startdate | 2019-04 | |
| dc.identifier.eissn | 1432-2064 | |
| rioxxterms.type | Journal Article/Review | |
| cam.issuedOnline | 2018-03-24 | |
| rioxxterms.freetoread.startdate | 2019-03-24 |
