dc.contributor.author Miller, Jason dc.contributor.author Sheffield, Scott dc.contributor.author Werner, Wendelin dc.date.accessioned 2019-01-18T00:31:38Z dc.date.available 2019-01-18T00:31:38Z dc.date.issued 2020 dc.identifier.issn 1435-9863 dc.identifier.uri https://www.repository.cam.ac.uk/handle/1810/288185 dc.description.abstract We 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.publisher European Mathematical Society Publishing House dc.title Non-simple $\SLE$ curves are not determined by their range dc.type Article prism.endingPage 716 prism.issueIdentifier 3 prism.publicationDate 2020 prism.publicationName Journal of the European Mathematical Society prism.startingPage 669 prism.volume 22 dc.identifier.doi 10.17863/CAM.35501 dcterms.dateAccepted 2018-11-08 rioxxterms.versionofrecord 10.4171/JEMS/930 rioxxterms.version AM rioxxterms.licenseref.uri http://www.rioxx.net/licenses/all-rights-reserved rioxxterms.licenseref.startdate 2020 dc.publisher.url https://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=22&iss=3&rank=1 rioxxterms.type Journal Article/Review cam.issuedOnline 2019-11-19 dc.identifier.url https://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=22&iss=3&rank=1 cam.orpheus.counter 12
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