Liouville quantum gravity spheres as matings of finite-diameter trees

We show that the unit area Liouville quantum gravity sphere can be constructed in two equivalent ways. The first, which was introduced by the authors and Duplantier in (Liouville quantum gravity as a mating of trees (2014) Preprint), uses a Bessel excursion measure to produce a Gaussian free field v...

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Bibliographic Details
Main Authors: Miller, Jason E., Sheffield, Scott Roger
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Institute of Mathematical Statistics 2020
Online Access:https://hdl.handle.net/1721.1/126480