Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Author "Miller, Jason Peter"
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Brownian motion correlation in the peanosphere for κ >8
Gwynne, E; Holden, N; Miller, Jason Peter; Sun, X (ElsevierAnnales de l'institut Henri Poincare (B) Probability and Statistics, 2017-11-01)The peanosphere (or "mating of trees") construction of Duplantier, Miller, and Sheffield encodes certain types of $\gamma$-Liouville quantum gravity (LQG) surfaces ($\gamma \in (0,2)$) decorated with an independent ...
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Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
Miller, Jason Peter; Sheffield, SWe establish existence and uniqueness for Gaussian free field flow lines started at interior points of a planar domain. We interpret these as rays of a random geometry with imaginary curvature and describe the way distinct ...