Volume of metric balls in Liouville quantum gravity

DOI10.1214/20-EJP564zbMath1470.60026arXiv2001.11467MaRDI QIDQ2042655

Hugo Falconet, Morris Ang, Xin Sun

Publication date: 21 July 2021

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11467

zbMATH Keywords

conformal structureGaussian free fieldLiouville Brownian motionLiouville quantum gravitymetric balls

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (6)

Geodesic networks in Liouville quantum gravity surfaces ⋮ Metric growth dynamics in Liouville quantum gravity ⋮ Introduction to the Liouville quantum gravity metric ⋮ The Minkowski content measure for the Liouville quantum gravity metric ⋮ What is a random surface? ⋮ The volume measure of the Brownian sphere is a Hausdorff measure

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