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dc.contributor.authorAsselah, Amineen
dc.contributor.authorSchapira, Brunoen
dc.contributor.authorSousi, Perlaen
dc.date.accessioned2018-06-14T15:05:13Z
dc.date.available2018-06-14T15:05:13Z
dc.date.issued2019-05en
dc.identifier.issn0091-1798
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/277054
dc.description.abstractWe study the capacity of the range of a transient simple random walk on Z^d. Our main result is a central limit theorem for the capacity of the range for d \geq 6. We present a few open questions in lower dimensions.
dc.publisherAmerican Mathematical Society
dc.relation.isreplacedby1810/297079
dc.relation.isreplacedbyhttps://www.repository.cam.ac.uk/handle/1810/297079
dc.subjectCapacityen
dc.subjectGreen kernelen
dc.subjectlaw of large numbersen
dc.subjectcentral limit theoremen
dc.titleCAPACITY OF THE RANGE OF RANDOM WALK ON Z(4)en
dc.typeArticle
prism.endingPage1497
prism.issueIdentifier3en
prism.publicationDate2019en
prism.publicationNameANNALS OF PROBABILITYen
prism.startingPage1447
prism.volume47en
dc.identifier.doi10.17863/CAM.24356
pubs.declined2018-03-23T16:17:56.661+0000
pubs.deleted2018-03-23T16:17:56.661+0000
pubs.merge-to1810/297079
pubs.merge-tohttps://www.repository.cam.ac.uk/handle/1810/297079
dcterms.dateAccepted2017-04-05en
rioxxterms.versionofrecord10.1214/18-AOP1288en
rioxxterms.versionAM*
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2019-05en
rioxxterms.typeJournal Article/Reviewen
rioxxterms.freetoread.startdate2019-04-25


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