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• W2904687741 abstract "We prove that the geodesics associated with any metric generated from Liouville quantum gravity (LQG) which satisfies certain natural hypotheses are necessarily singular with respect to the law of any type of SLE$_kappa$. These hypotheses are satisfied by the LQG metric for $gamma=sqrt{8/3}$ constructed by the first author and Sheffield, and subsequent work by Gwynne and the first author has shown that there is a unique metric which satisfies these hypotheses for each $gamma in (0,2)$. As a consequence of our analysis, we also establish certain regularity properties of LQG geodesics which imply, among other things, that they are conformally removable." @default.
• W2904687741 created "2018-12-22" @default.
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• W2904687741 date "2018-12-10" @default.
• W2904687741 modified "2023-09-23" @default.
• W2904687741 title "The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions" @default.
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• W2904687741 doi "https://doi.org/10.48550/arxiv.1812.03913" @default.
• W2904687741 hasPublicationYear "2018" @default.
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