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dc.contributor.authorMiller, Jason
dc.contributor.authorSheffield, Scott
dc.contributor.authorWerner, Wendelin
dc.date.accessioned2019-01-18T00:31:38Z
dc.date.available2019-01-18T00:31:38Z
dc.date.issued2020
dc.identifier.issn1435-9863
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/288185
dc.description.abstractWe show that when observing the range of a chordal $\SLE_\kappa$ curve for $\kappa \in (4,8)$, it is not possible to recover the order in which the points have been visited. We also derive related results about conformal loop ensembles (CLE): (i) The loops in a $\CLE_\kappa$ for $\kappa \in (4,8)$ are not determined by the $\CLE_\kappa$ gasket. (ii) The continuum percolation interfaces defined in the fractal carpets of conformal loop ensembles $\CLE_{\kappa}$ for $\kappa \in (8/3, 4)$ (we defined these percolation interfaces in earlier work, where we also showed there that they are $\SLE_{16/\kappa}$ curves) are not determined by the $\CLE_{\kappa}$ carpet that they are defined in.
dc.publisherEuropean Mathematical Society Publishing House
dc.titleNon-simple $\SLE$ curves are not determined by their range
dc.typeArticle
prism.endingPage716
prism.issueIdentifier3
prism.publicationDate2020
prism.publicationNameJournal of the European Mathematical Society
prism.startingPage669
prism.volume22
dc.identifier.doi10.17863/CAM.35501
dcterms.dateAccepted2018-11-08
rioxxterms.versionofrecord10.4171/JEMS/930
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2020
dc.publisher.urlhttps://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=22&iss=3&rank=1
rioxxterms.typeJournal Article/Review
cam.issuedOnline2019-11-19
dc.identifier.urlhttps://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=22&iss=3&rank=1
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