Schramm-Loewner Evolution and Liouville Quantum Gravity

We 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 (consisten...

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Bibliographic Details
Main Authors: Duplantier, Bertrand (Author), Sheffield, Scott Roger (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: American Physical Society (APS), 2012-01-27T19:42:54Z.
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