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, Sheffield, Scott Roger
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Physical Society (APS) 2012
Online Access:http://hdl.handle.net/1721.1/68685
https://orcid.org/0000-0002-5951-4933