Random Surfaces and Liouville Quantum Gravity

DOI10.1090/noti2059zbMath1448.83009arXiv1908.05573OpenAlexW3012052660WikidataQ126199983 ScholiaQ126199983MaRDI QIDQ5124268

Ewain Gwynne

Publication date: 17 September 2020

Published in: Notices of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.05573

zbMATH Keywords

Hausdorff dimensionLiouville quantum gravityGaussian random surface

Mathematics Subject Classification ID

Random fields (60G60) Geometric probability and stochastic geometry (60D05) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Applications of statistics to physics (62P35) Quantization of the gravitational field (83C45) Analogues of general relativity in lower dimensions (83C80)

Related Items (10)

Geodesics and metric ball boundaries in Liouville quantum gravity ⋮ Tightness of supercritical Liouville first passage percolation ⋮ Uniqueness of the critical and supercritical Liouville quantum gravity metrics ⋮ On the geometry of uniform meandric systems ⋮ The Minkowski content measure for the Liouville quantum gravity metric ⋮ The SLE loop via conformal welding of quantum disks ⋮ Integrability of SLE via conformal welding of random surfaces ⋮ What is a random surface? ⋮ Existence and uniqueness of the Liouville quantum gravity metric for \(\gamma \in (0, 2)\) ⋮ The distance exponent for Liouville first passage percolation is positive

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