Liouville quantum gravity and KPZ

Consider a bounded planar domain D, an instance h of the Gaussian free field on D, with Dirichlet energy ... and a constant 0[less than or equal to]γ<2. The Liouville quantum gravity measure on D is the weak limit as epsilon-->0 of the measures ... where dz is Lebesgue measure on D and h epsil...

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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: Springer-Verlag 2012
Online Access:http://hdl.handle.net/1721.1/71590
https://orcid.org/0000-0002-5951-4933