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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Format: | Article |
Language: | English |
Published: |
American Physical Society (APS),
2012-01-27T19:42:54Z.
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Subjects: | |
Online Access: | Get fulltext |