Show simple item record

dc.contributor.authorAsselah, Amine
dc.contributor.authorSchapira, Bruno
dc.contributor.authorSousi, Perla
dc.date.accessioned2019-01-15T00:30:09Z
dc.date.accessioned2019-09-24T23:30:20Z
dc.date.available2019-01-15T00:30:09Z
dc.date.available2019-09-24T23:30:20Z
dc.date.issued2019-05-02
dc.identifier.issn0091-1798
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/297079
dc.description.abstractWe study the scaling limit of the capacity of the range of a ran- dom walk on the integer lattice in dimension four. We establish a strong law of large numbers and a central limit theorem with a non-gaussian limit. The asymptotic behaviour is analogous to that found by Le Gall in ’86 [28] for the volume of the range in dimension two.
dc.publisherInstitute of Mathematical Statistics
dc.relation.replaceshttps://www.repository.cam.ac.uk/handle/1810/287955
dc.relation.replaces1810/287955
dc.relation.replaces1810/277054
dc.relation.replaceshttps://www.repository.cam.ac.uk/handle/1810/277054
dc.titleCAPACITY OF THE RANGE OF RANDOM WALK ON Z^4
dc.typeArticle
prism.endingPage1497
prism.issueIdentifier3
prism.publicationDate2019
prism.publicationNameAnnals of Probability
prism.startingPage1447
prism.volume47
dc.identifier.doi10.17863/CAM.35275
dc.identifier.doi10.17863/CAM.44126
dcterms.dateAccepted2018-05-12
rioxxterms.versionofrecord10.1214/18-AOP1288
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2019-05-02
dc.publisher.urlhttps://projecteuclid.org/euclid.aop/1556784024#info
rioxxterms.typeJournal Article/Review
cam.issuedOnline2019-05-02
dc.identifier.urlhttps://projecteuclid.org/euclid.aop/1556784024#info
rioxxterms.freetoread.startdate2100-01-01


Files in this item

Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record