The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions

DOI10.1007/s00440-019-00949-7zbMath1450.60009arXiv1812.03913OpenAlexW2995381905WikidataQ125807087 ScholiaQ125807087MaRDI QIDQ783789

Jason Miller, Wei Qian

Publication date: 4 August 2020

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03913

zbMATH Keywords

Gaussian free fieldSchramm-Loewner evolutionLiouville quantum gravity

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (13)

Geodesics and metric ball boundaries in Liouville quantum gravity ⋮ Liouville quantum gravity and the Brownian map. III: The conformal structure is determined ⋮ Geodesic networks in Liouville quantum gravity surfaces ⋮ Uniqueness of the critical and supercritical Liouville quantum gravity metrics ⋮ Introduction to the Liouville quantum gravity metric ⋮ Regularity and confluence of geodesics for the supercritical Liouville quantum gravity metric ⋮ Weak LQG metrics and Liouville first passage percolation ⋮ Existence and uniqueness of the Liouville quantum gravity metric for \(\gamma \in (0, 2)\) ⋮ Local metrics of the Gaussian free field ⋮ Conformal covariance of the Liouville quantum gravity metric for \(\gamma\in (0,2)\) ⋮ Volume of metric balls in Liouville quantum gravity ⋮ The distance exponent for Liouville first passage percolation is positive ⋮ Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding

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