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dc.contributor.authorDuplantier, Bertrand
dc.contributor.authorSheffield, Scott Roger
dc.date.accessioned2012-01-27T19:42:54Z
dc.date.available2012-01-27T19:42:54Z
dc.date.issued2011-09
dc.date.submitted2011-06
dc.identifier.issn0031-9007
dc.identifier.issn1079-7114
dc.identifier.urihttp://hdl.handle.net/1721.1/68685
dc.description.abstractWe show that when two boundary arcs of a Liouville quantum gravity random surface are conformally welded to each other (in a boundary length-preserving way) the resulting interface is a random curve called the Schramm-Loewner evolution. We also develop a theory of quantum fractal measures (consistent with the Knizhnik-Polyakov-Zamolochikov relation) and analyze their evolution under conformal welding maps related to Schramm-Loewner evolution. As an application, we construct quantum length and boundary intersection measures on the Schramm-Loewner evolution curve itself.en_US
dc.description.sponsorshipFrench National Research Agency (ANR) (Grant No. ANR-08-BLAN-0311-CSD5)en_US
dc.description.sponsorshipInstitut national des sciences de l'univers (France) (Grant No. CNRS-PEPS-PTI 2010)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant No. DMS 0403182/064558)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant No. OISE 0730136)en_US
dc.language.isoen_US
dc.publisherAmerican Physical Society (APS)en_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevLett.107.131305en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAPSen_US
dc.titleSchramm-Loewner Evolution and Liouville Quantum Gravityen_US
dc.typeArticleen_US
dc.identifier.citationDuplantier, Bertrand, and Scott Sheffield. “Schramm-Loewner Evolution and Liouville Quantum Gravity.” Physical Review Letters 107.13 (2011): n. pag. Web. 27 Jan. 2012. © 2011 American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.approverSheffield, Scott Roger
dc.contributor.mitauthorSheffield, Scott Roger
dc.relation.journalPhysical Review Lettersen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsDuplantier, Bertrand; Sheffield, Scotten
dc.identifier.orcidhttps://orcid.org/0000-0002-5951-4933
mit.licensePUBLISHER_POLICYen_US


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